Step 1 (Link 1 \(\rightarrow\) C): Sentence 1 makes a claim; C begins with the rebuttal marker “\emph{That is not true,” so C directly counters 1.

Step 2 (C \(\rightarrow\) A): After negating the claim, A \emph{explains why: even a great actor can at most “reach the ideal the author has seen.” This logically justifies the denial in C.

Step 3 (A \(\rightarrow\) D via demonstrative \emph{this): D opens with “\emph{to do this,” whose nearest sensible antecedent is A’s idea “reach the ideal.” Hence D must follow A.

Step 4 (D \(\rightarrow\) B \(\rightarrow\) 6): B shifts to the author’s personal experience (“\emph{In all my plays…”), which naturally follows the general point in D. Sentence 6 then generalizes B with “\emph{This is obviously inevitable,” where “\emph{This” refers to the situation described in B (not having every part ideally acted) and gives the reason (casting constraints).

Therefore, the sequence between 1 and 6 is C \(\rightarrow\) A \(\rightarrow\) D \(\rightarrow\) B, i.e., \boxed{CADB. Quick Tip: In parajumbles, track cue words: rebuttals (\emph{but, that is not true), demonstratives (\emph{this, that}), and scope shifts (general \(\rightarrow\) personal example \(\rightarrow\) generalization). These often lock local pairs and the global flow.

Step 1 (1 \(\rightarrow\) C): Statement 1 is a sweeping claim about survival of plays; C introduces the limited exception—“\emph{A few comedies” have survived—so it naturally follows 1 as a contrast/qualification.

Step 2 (C \(\rightarrow\) B): After noting the survival, B explains \emph{how and \emph{why such old pieces still appear: occasional revivals for practical reasons (star parts, managerial stop-gaps, no royalties).

Step 3 (B \(\rightarrow\) A): A then \emph{labels these revived plays as “\emph{museum pieces,” a concise evaluative summary of B’s scenario (they are dated artifacts despite revivals).

Step 4 (A \(\rightarrow\) D \(\rightarrow\) 6 with pronoun tie): D comments on the audience reaction to such “museum pieces” (polite laughter, embarrassment). Sentence 6 must follow D because the pronoun “\emph{They” in 6 refers to “\emph{The audience” in D (“\emph{They are not held nor taken out of themselves”).

Thus, the correct middle order is C \(\rightarrow\) B \(\rightarrow\) A \(\rightarrow\) D, i.e., \boxed{\text{CBAD. Quick Tip: Watch pronoun references carefully. When a sentence uses “they,” ensure the immediately previous line supplies a clear antecedent (here, “the audience”), which fixes D directly before 6.

Step 1 (1 \(\rightarrow\) B): “Savage allies” foreshadows specific forces; B names the first—\emph{thunder—as a “deafening explosion,” matching the menace in 1.

Step 2 (B \(\rightarrow\) C): C intensifies the same thunder event: not merely heard but \emph{felt. The lexical link “thunder” binds B and C.

Step 3 (C \(\rightarrow\) A): A continues the acoustic violence with “\emph{explosions” (coreferential with thunderclaps) and the eardrum/helmet detail, which logically follows the felt impact in C.

Step 4 (A \(\rightarrow\) D \(\rightarrow\) 6): After thunder, D introduces the second ally—\emph{lightning. Finally, 6 rounds off the storm tableau with torrential \emph{rain, the third ally, giving a climactic closure.

Hence the coherent chain is B \(\rightarrow\) C \(\rightarrow\) A \(\rightarrow\) D, i.e., \boxed{BCAD. Quick Tip: Build scenes by tracking a consistent imagery chain and escalation: here, \emph{thunder (sound) \(\rightarrow\) \emph{felt impact} \(\rightarrow\) \emph{eardrum risk} \(\rightarrow\) \emph{lightning} (sight) \(\rightarrow\) \emph{rain}—a natural storm progression.

Step 1 (1 \(\rightarrow\) D): The opening statement introduces the concept of a higher power. D extends this by stating the role of that power in providing an anchor during adversity, linking directly with 1.

Step 2 (D \(\rightarrow\) A): A builds logically on D: if power provides strength in bad times, then logically it should also be remembered in good times.

Step 3 (A \(\rightarrow\) C \(\rightarrow\) B): Once the logical role is set, C shifts to the institutional aspect—organizations venerating the power through ceremonies. B supports this by specifying contributions like building temples and gurudwaras.

Thus, the coherent sequence is D \(\rightarrow\) A \(\rightarrow\) C \(\rightarrow\) B, i.e., \boxed{\text{DACB. Quick Tip: Identify logical connectors like “therefore,” “this,” and “also”—they establish the order of reasoning and examples in parajumbles.

Step 1 (1 \(\rightarrow\) A): After asserting knowledge of the path, A explains how seniors must show this path clearly.

Step 2 (A \(\rightarrow\) B): Once clarity is ensured, B emphasizes leading by personal example, a natural extension of A.

Step 3 (B \(\rightarrow\) C \(\rightarrow\) D): C talks about evaluating advice objectively, while D gives the negative contrast—arrogance makes help dysfunctional. This sequence rounds off the discussion on guidance.

Thus, the correct order is A \(\rightarrow\) B \(\rightarrow\) C \(\rightarrow\) D, i.e., \boxed{\text{ABCD. Quick Tip: In parajumbles about management/leadership, the order usually flows from conceptual requirement → role of seniors → evaluation → pitfalls.

Step 1 (C \(\rightarrow\) A): C introduces the idea of making one’s will as a precaution. A naturally follows: once affairs are settled, one can live life without concern.

Step 2 (A \(\rightarrow\) B \(\rightarrow\) D): B adds a reflective, personal stance—“When I finish this book…”—which gives clarity to where one stands. D concludes by showing the benefit: the freedom to choose in remaining years.

Hence, the flow is C \(\rightarrow\) A \(\rightarrow\) B \(\rightarrow\) D, i.e., \boxed{\text{CABD. Quick Tip: In parajumbles with abstract reflection, look for the general principle first, then the personal reflection, and finally the conclusion.

Step 1 (C \(\rightarrow\) A): C criticizes blind liberalization. A follows by applying this criticism to India’s tendency to conform to western thought.

Step 2 (A \(\rightarrow\) B): B contrasts India’s behavior with smaller countries that resist compromising policies. This provides a global comparison.

Step 3 (B \(\rightarrow\) D): Finally, D cites the GATT and patents case as a concrete example of India’s conformity, aligning with the criticism in C and A.

Thus, the logical order is C \(\rightarrow\) A \(\rightarrow\) B \(\rightarrow\) D, i.e., \boxed{\text{CABD. Quick Tip: When a question involves critique of policy, the flow usually follows: critique (general) → example of the nation → comparison with others → concrete case.

Step 1 (8 \(\rightarrow\) C): The sentence opens with the challenge of facing a “huge crag and weary trail.” C begins with “Surely after this,” referring to the ongoing journey and providing an optimistic closure. This sets the tone for the challenge ahead.

Step 2 (C \(\rightarrow\) A): Sentence A adds further explanation to C, suggesting that no matter how challenging the path may seem, the journey continues. It sets a logical continuation: after overcoming this hurdle, the plain will eventually be reached.

Step 3 (A \(\rightarrow\) D): D provides the immediate consequence of the continued struggle, describing the persistent path and its inevitable challenges. This statement follows naturally after the reflection in A.

Step 4 (D \(\rightarrow\) B): B offers a reflective pause, explaining the moment of realization that after all the challenges, a breakthrough is expected, and the plain will be reached.

Thus, the correct sequence is C \(\rightarrow\) A \(\rightarrow\) D \(\rightarrow\) B, i.e., \boxed{\text{CADB. Quick Tip: In paragraph sequencing, look for a combination of causal and consequential sentences. Words like “after” and “inevitable” signal sequence order and causality.

Step 1 (9 \(\rightarrow\) D): The initial description in 9 talks about a catastrophic event, which D follows with a vivid description of hydrogen catching fire and causing harm to the performer’s lips.

Step 2 (D \(\rightarrow\) C): After introducing the dangerous effect of hydrogen, C provides a more detailed explanation of its lighter-than-air property and its use in parlor tricks.

Step 3 (C \(\rightarrow\) B): B introduces one such use: a paper bag filled with hydrogen floating off into space, showcasing its unique characteristic.

Step 4 (B \(\rightarrow\) A): Finally, A shows how the performer exploits hydrogen’s properties in a flamboyant display, explaining how he uses it to entertain by blowing fire.

Thus, the correct sequence is D \(\rightarrow\) C \(\rightarrow\) B \(\rightarrow\) A, i.e., \boxed{\text{DCBA. Quick Tip: In descriptions involving processes, focus on the cause and effect relationship: dangerous incidents followed by background details and explanations, concluding with a practical demonstration.

Step 1 (10 \(\rightarrow\) B): The statement B talks about the writer’s role, establishing it as a profession the writer could have pursued, just like any other career choice.

Step 2 (B \(\rightarrow\) D): D then adds that writing is so pleasant that anyone, even without qualifications, may be tempted to join.

Step 3 (D \(\rightarrow\) A): A provides the general description of the profession, emphasizing its variety and excitement as an underlying theme.

Step 4 (A \(\rightarrow\) C): C logically follows, as it explains the freedom of writing that makes it unique among professions, reinforcing the points made earlier.

Thus, the correct sequence is B \(\rightarrow\) D \(\rightarrow\) A \(\rightarrow\) C, i.e., \boxed{\text{BDAC. Quick Tip: Look for profession-related sentences that build logically: qualification \(\rightarrow\) freedom of work \(\rightarrow\) profession’s appeal \(\rightarrow\) personal reflection.

Step 1 (11 \(\rightarrow\) B): “Privilege” fits in context as a special right or advantage exclusive to the rich, which introduces the central theme.

Step 2 (B \(\rightarrow\) C): C extends the idea by discussing how one’s advantage or privilege gives them a clear advantage over others in competition.

Step 3 (C \(\rightarrow\) A): A introduces a more general remark on the rich using “professional studies,” but it ties to the privileged position.

Step 4 (A \(\rightarrow\) D): D appropriately wraps up by discussing a lost privilege, where “Sheron no longer has the privilege of the company’s bungalow and car.”

Thus, the correct sequence is B \(\rightarrow\) C \(\rightarrow\) A \(\rightarrow\) D, i.e., \boxed{\text{B. Quick Tip: The term “privilege” often introduces exclusivity and high social status, so look for the context where something is lost or gained that only a select few can access.

Step 1 (12 \(\rightarrow\) C): The phrase "struck" strongly suggests a sudden event, which is typical of a "disaster." C starts the sequence with the appropriate word.

Step 2 (C \(\rightarrow\) A): After the disaster is introduced, A can follow as people begin to sense its effects.

Step 3 (A \(\rightarrow\) B): B gives an example of a “bad accident,” leading to a detailed description of the scene, where a person with a smashed arm has entered.

Step 4 (B \(\rightarrow\) D): Finally, D connects the context by noting that the dogs were the first to recognize the impending disaster.

Thus, the correct sequence is C \(\rightarrow\) A \(\rightarrow\) B \(\rightarrow\) D, i.e., \boxed{\text{C. Quick Tip: In descriptions of catastrophic events, look for words that convey sudden impact and severity like “struck,” “sensed,” and “disaster” to establish the logical sequence.

N/A Quick Tip: In emotional contexts, terms like “depression” or “loneliness” often match when describing prolonged or deep feelings.

N/A Quick Tip: When selecting between mental processes, “imagination” refers to creativity, “hallucinations” to misperceptions, and “illusion” to trickery or false beliefs.

Step 1 (15 \(\rightarrow\) A): In the context of communism, “state” refers to the overarching political entity that controls economic and social systems, and the individual’s role is dictated by the state.

Step 2 (A \(\rightarrow\) C): The sentence logically continues with C as it details formal statements or laws laid down by political entities, which are generally associated with state governance.

Step 3 (C \(\rightarrow\) D): The transition to D discussing autonomy from the Federal government fits the larger discussion of state control.

Thus, the correct answer is \boxed{\text{A. Quick Tip: In political contexts, “state” refers to the government’s role in regulating society, whereas “nation” refers to broader cultural and historical identities.

Step 1 (16 \(\rightarrow\) A): The relationship in the given analogy is one where lying leads to perjury, a legal offense. Similarly, a “statement” can lead to “testimony” in a legal or formal setting.

Step 2 (A \(\rightarrow\) C, B, D): The other options involve verbs and actions, which do not follow the same cause-and-effect relationship seen between lying and perjury.

Thus, the correct answer is \boxed{\text{A. Quick Tip: Look for relationships that suggest one act directly leads to a formal or legal consequence.

Step 1 (17 \(\rightarrow\) B): The relationship between prehistoric and medieval is one of temporal progression—prehistoric times came before medieval times, just as “present” precedes the “future.”

Step 2 (B \(\rightarrow\) A, C, D): Other pairs (A, C, D) represent different types of relationships (person to nationality, writer to era, or large entity to species), not temporal progression.

Thus, the correct answer is \boxed{\text{B. Quick Tip: Look for relationships involving time or sequences—“prehistoric” to “medieval” involves a clear historical order, just like “present” to “future.”

Step 1 (18 \(\rightarrow\) D): The relationship between “loud” and “stentorian” is one of intensity—“stentorian” is an intense form of loud, just as “resplendent” is an intense form of “bright.”

Step 2 (D \(\rightarrow\) A, B, C): Other options involve comparative or descriptive relationships but do not match the intensity of the loud-to-stentorian pairing.

Thus, the correct answer is \boxed{\text{D. Quick Tip: For intensifying adjectives, look for a more powerful word (like “stentorian” for loud) or a descriptive upgrade (like “resplendent” for bright).

Step 1 (19 \(\rightarrow\) C): The sentence begins with the idea that it would be difficult to bear life’s evils if there wasn’t hope of a greater existence.

Step 2 (C \(\rightarrow\) D): D then adds the thought of how one could find solace in believing that current difficulties are the necessary result of past errors.

Step 3 (D \(\rightarrow\) B): B introduces the idea of “previous existence,” logically extending the idea that past life carries consequences.

Step 4 (B \(\rightarrow\) A): A completes the thought, suggesting the hope that future existence will bring greater happiness, following from the perspective that past struggles were necessary.

Thus, the correct sequence is C \(\rightarrow\) D \(\rightarrow\) B \(\rightarrow\) A, i.e., \boxed{\text{D. Quick Tip: When arranging philosophical or reflective sentences, look for logical progressions from uncertainty to resolution, often involving past and future considerations.

Step 1 (20 \(\rightarrow\) C): The phrase “the writer can only be fertile if…” introduces a condition for a writer to remain productive, making C the starting point.

Step 2 (C \(\rightarrow\) B): B follows logically by stating that the writer renews himself, which aligns with the idea that fertility in writing depends on personal renewal.

Step 3 (B \(\rightarrow\) A): A follows naturally from B, as it clarifies that self-renewal is tied to the soul, which is implied by the personal growth mentioned in B.

Step 4 (A \(\rightarrow\) D): D provides the ultimate condition for renewal, stating that it must be enriched by fresh experiences, which completes the cycle of renewal.

Thus, the correct answer is \boxed{\text{A. Quick Tip: When discussing creative processes, look for sequences that emphasize self-renewal or growth, as well as how external factors (like fresh experiences) support the internal process.

Step 1 (21 \(\rightarrow\) A): The sentence starts with “but a masterpiece is,” setting up a contrast or defining the concept of a masterpiece. A works here, introducing the subject.

Step 2 (A \(\rightarrow\) D): D follows because it elaborates on what the masterpiece is: the “culminating point of” something, which ties to A’s introduction of the idea of a masterpiece.

Step 3 (D \(\rightarrow\) C): C then discusses the journey of achieving such a masterpiece, describing the laborious effort required.

Step 4 (C \(\rightarrow\) B): Finally, B adds that the creative genius behind a masterpiece may not always be taught, reinforcing the idea that it can come through hard work or luck.

Thus, the correct answer is \boxed{\text{B. Quick Tip: In parajumbles about mastery and effort, the structure often starts with the definition, elaborates on the effort, and finishes with the unexpected or extraordinary aspect.

Step 1 (22 \(\rightarrow\) C): C introduces the idea that the public is easily disillusioned, which sets the stage for the following sentences.

Step 2 (C \(\rightarrow\) B): B clarifies why they are angry: because the illusion they once believed in has been disrupted.

Step 3 (B \(\rightarrow\) D): D follows by elaborating that the public does not understand the reality behind the illusion they loved.

Step 4 (D \(\rightarrow\) A): Finally, A ties the concept of illusion creation to the speaker, showing that they created the illusion that now causes disillusionment.

Thus, the correct answer is \boxed{\text{C. Quick Tip: In sentences involving emotional reactions, the sequence often flows from cause (illusion) to effect (anger) and explanation (lack of understanding).

Step 1 (23 \(\rightarrow\) D): D begins by introducing the roots of the riots, which sets the context for the subsequent explanation of their causes.

Step 2 (D \(\rightarrow\) B): B then talks about the pattern of spatial growth in these towns, which is tied to the causes of the riots.

Step 3 (B \(\rightarrow\) C): C links the government’s failure to ensure proper growth, which leads to the spatial problems described in B.

Step 4 (C \(\rightarrow\) A): A rounds off the sequence by referring to the adequate physical and social infrastructure needed to prevent such issues.

Thus, the correct answer is \boxed{\text{B. Quick Tip: When discussing societal issues like riots, look for a chain of cause-and-effect relationships: origins \(\rightarrow\) failures \(\rightarrow\) consequences \(\rightarrow\) solutions.

Step 1 (24 \(\rightarrow\) B): The phrase “happened to be” fits the context of a Darvesh passing by the well, as it implies a casual or coincidental occurrence. It suggests that the Darvesh was simply passing by, not intentionally stopping.

Thus, the correct answer is \boxed{\text{B.


\begin{quicktipbox
“Happened to be” is often used to describe something happening by chance or as a coincidental action.
\end{quicktipbox Quick Tip: “Happened to be” is often used to describe something happening by chance or as a coincidental action.

Step 1 (25 \(\rightarrow\) C): “Launched” is the most suitable verb here because it refers to the introduction of a product to the market, which is common when companies release new products.

Thus, the correct answer is \boxed{\text{C.


\begin{quicktipbox
“Launch” is commonly used in the context of releasing new products or services into the market.
\end{quicktipbox Quick Tip: “Launch” is commonly used in the context of releasing new products or services into the market.

Step 1 (26 \(\rightarrow\) D): The phrase “fortune was made” fits best in the context, as it refers to the unexpected success of the novel, which indicates that the individual’s luck or fortune has turned.

Thus, the correct answer is \boxed{\text{D.


\begin{quicktipbox
When referring to sudden success or good luck, “fortune was made” is commonly used to describe an unexpected, favorable outcome.
\end{quicktipbox Quick Tip: When referring to sudden success or good luck, “fortune was made” is commonly used to describe an unexpected, favorable outcome.

Step 1 (27 \(\rightarrow\) A): “Smother” is the correct choice because it refers to extinguishing flames by cutting off the air supply. This is the typical method of controlling a fire by rolling the boy.

Thus, the correct answer is \boxed{\text{A.


\begin{quicktipbox
“Smother” is used when extinguishing something by cutting off its oxygen supply, often used in fire contexts.
\end{quicktipbox Quick Tip: “Smother” is used when extinguishing something by cutting off its oxygen supply, often used in fire contexts.

Step 1 (28 \(\rightarrow\) D): The phrase “between us” is the most common expression when referring to keeping a secret shared between two people. It implies confidentiality.

Thus, the correct answer is \boxed{\text{D.


\begin{quicktipbox
“Between us” is the most common phrase used when referring to keeping something secret between two people.
\end{quicktipbox Quick Tip: “Between us” is the most common phrase used when referring to keeping something secret between two people.

Step 1 (29 \(\rightarrow\) B): “Hinge upon” is the correct expression, as it suggests that the invention relies on or is dependent on an idea of simplicity. This phrase fits the context of invention.

Thus, the correct answer is \boxed{\text{B.


\begin{quicktipbox
“Hinge upon” is a common expression to show dependence or reliance on something for success or development.
\end{quicktipbox Quick Tip: “Hinge upon” is a common expression to show dependence or reliance on something for success or development.

Step 1 (30 \(\rightarrow\) A): The phrase “come in different garbs” is the most natural expression, as it conveys that friends may present themselves in various forms or appearances, depending on the context. The phrase is commonly used to express the changing ways in which friends act or present themselves for the sake of the organization.

Thus, the correct answer is \boxed{\text{A. Quick Tip: “Come in” is used for situations where individuals assume different forms or appearances for various purposes or situations.

Step 1 (31 \(\rightarrow\) C): The WTO is indeed a global organization, and the sentence defines the importance of free trade, providing an explanation for why India’s liberalization would align with global policies.

Step 2 (C \(\rightarrow\) F): Following this, the sentence describes India’s strategy of simplifying tariff structures, which supports the earlier notion of liberalization.

Step 3 (F \(\rightarrow\) F): The final statement further elaborates on the need for active participation in WTO policies in this context.

Thus, the correct answer is \boxed{\text{C. Quick Tip: Look for statements that logically progress from explaining an organization to its supporting actions in global contexts.

Step 1 (32 \(\rightarrow\) A): The sentence opens with a direct statement about the minister's mistake, establishing the factual claim.

Step 2 (A \(\rightarrow\) F): Following this, the minister’s action of taking a wrong step is further supported by the circumstances that show there were alternatives.

Step 3 (F \(\rightarrow\) J): The embarrassment of the Prime Minister adds to the negative effects of the decision, reinforcing that the action was indeed wrong.

Thus, the correct answer is \boxed{\text{A. Quick Tip: Look for statements that escalate from a factual mistake to the implications it has on other stakeholders.

Step 1 (33 \(\rightarrow\) A): The idea of an ideal solution starts with the concept of aggressive marketing, which is expanded upon in the next few sentences.

Step 2 (A \(\rightarrow\) J): The effectiveness of this solution is highlighted by showing that another popular brand has already succeeded with this strategy.

Step 3 (J \(\rightarrow\) F): F provides the real challenge of the situation—reducing prices would be harmful to the business, given dwindling revenues.

Thus, the correct answer is \boxed{\text{A. Quick Tip: In business scenarios, "advertising aggressively" and "consolidating market position" are strategies commonly linked together to increase success.

Step 1 (34 \(\rightarrow\) F): F is the foundation that establishes the importance of consumerism for democracy, which serves as the starting point.

Step 2 (F \(\rightarrow\) J): The second statement provides evidence of how consumerism can help improve goods quality.

Step 3 (J \(\rightarrow\) I): The final point focuses on the challenges, such as how manufacturers might exploit this trend.

Thus, the correct answer is \boxed{\text{B. Quick Tip: When discussing economics and social systems, look for logical sequences from problem identification to solutions and challenges faced by industries.

Step 1 (35 \(\rightarrow\) F): The discussion begins with a statement about the lack of profits if the banks don't agree to defer interest.

Step 2 (F \(\rightarrow\) J): J explains the situation further by discussing how the current revenue structure only covers costs, indicating a financial problem.

Step 3 (J \(\rightarrow\) F): F repeats the lesson learned about controlling credit in order to make profits.

Thus, the correct answer is \boxed{\text{D. Quick Tip: In financial discussions, statements often begin with issues, followed by analysis, and conclude with lessons learned.

Step 1 (36 \(\rightarrow\) J): The first statement expresses an opinion about qualities not being changeable. This is a judgment on the nature of qualities.

Step 2 (J \(\rightarrow\) F): Statement B provides a factual claim that qualities are inherited and based on genetic makeup, making it a fact.

Step 3 (F \(\rightarrow\) J): The next logical step is understanding that changing these traits is impossible, as stated in C. This continues from the fact into a logical deduction.

Step 4 (J \(\rightarrow\) I): The final statement offers an inference about how one might manage the “bad qualities,” linking the previous concepts to practical advice.

Thus, the correct answer is \boxed{\text{C. Quick Tip: Look for a sequence that moves from an opinion to a fact and then logically concludes with an inference.

Step 1 (37 \(\rightarrow\) F): Statement A is a factual observation about the purposelessness of the universe, which sets the base for the following arguments.

Step 2 (F \(\rightarrow\) J): Statement B adds to this factual claim by providing the uncertainty about the universe's origin and purpose.

Step 3 (J \(\rightarrow\) I): Statement C draws a logical connection between humans and the purposeless universe, leading to the inference that humans too are purposeless.

Step 4 (I \(\rightarrow\) F): Finally, D offers a solution to the purposelessness by proposing Union with Him as a purpose.

Thus, the correct answer is \boxed{\text{A. Quick Tip: Look for a logical progression that moves from factual observation to reasoning and ends with an inference.

Step 1 (38 \(\rightarrow\) J): The first statement introduces the importance of interpersonal relationships, which is a judgment about social life.

Step 2 (J \(\rightarrow\) F): The second statement builds on this judgment with a factual claim that misunderstandings arise from poor relationships.

Step 3 (F \(\rightarrow\) I): The third statement logically infers that improving interpersonal relations will improve social life.

Step 4 (I \(\rightarrow\) F): The final statement adds a factual note on how interpersonal relationships can be improved with effort.

Thus, the correct answer is \boxed{\text{B. Quick Tip: Look for a sequence where judgment about a concept is supported by facts, followed by an inference and a final factual conclusion.

Step 1 (39 \(\rightarrow\) F): The first statement is factual, indicating the falling prices of electronics.

Step 2 (F \(\rightarrow\) J): The second statement gives a reason for the price fall, providing a factual claim about reductions in duties.

Step 3 (J \(\rightarrow\) I): The third statement predicts the continuation of the price fall trend, offering an inference based on current trends.

Step 4 (I \(\rightarrow\) J): The fourth statement provides a contradiction by explaining why the industry is still growing despite falling prices.

Thus, the correct answer is \boxed{\text{C. Quick Tip: In economic statements, look for factual claims that are followed by predictions, which are then contrasted by counterexamples or exceptions.

Step 1 (40 \(\rightarrow\) F): The first statement offers a factual observation about the historical focus on wealth distribution.

Step 2 (F \(\rightarrow\) J): The second statement introduces the failure of the government to address poverty, which follows from the previous observation.

Step 3 (J \(\rightarrow\) F): The third statement explains that the current liberalization policies differ from past policies, providing additional context.

Step 4 (F \(\rightarrow\) I): The final statement provides evidence of the positive impact of liberalization, showing the boom in industries.

Thus, the correct answer is \boxed{\text{D. Quick Tip: When analyzing policy discussions, look for a sequence that begins with a historical fact, critiques it, and then shifts to the present with evidence of improvement.

Step 1 (41 \(\rightarrow\) A): Statement A suggests that vegetarians do eat meat, but that contradicts the general definition of vegetarians.

Step 2 (A \(\rightarrow\) C): Statement C confirms that those who eat meat are herbivores.

Step 3 (C \(\rightarrow\) F): Statement F concludes that vegetarians are herbivores, making this the only logical conclusion.

Thus, the correct answer is \boxed{\text{D. Quick Tip: In such logical deduction questions, focus on identifying contradictions and follow through with related logical conclusions.

Step 1 (42 \(\rightarrow\) B): Statement B about roses having nectar fits well as it links roses and nectar together.

Step 2 (B \(\rightarrow\) D): Statement D about shrubs having roses supports the idea that shrubs contribute to the presence of roses.

Step 3 (D \(\rightarrow\) E): E then follows as the relationship between shrubs and nectar continues to be linked.

Thus, the correct answer is \boxed{\text{C. Quick Tip: Look for statements that describe relationships and connections among items (roses, nectar, shrubs) to logically form the sequence.

Step 1 (43 \(\rightarrow\) D): Statement D asserts that no seasons are autumns, setting up the fact about seasons.

Step 2 (D \(\rightarrow\) F): F asserts that all springs are autumns, a contrast to D, highlighting the exception.

Step 3 (F \(\rightarrow\) A): Statement A elaborates that no spring is considered a season, completing the logical deduction.

Thus, the correct answer is \boxed{\text{A. Quick Tip: When statements contradict each other, focus on identifying opposing claims and how they balance each other out.

Step 1 (44 \(\rightarrow\) C): Statement C introduces that falcons are birds, which is the first logical statement.

Step 2 (C \(\rightarrow\) D): D follows because it explains that birds are yellow, giving us more information about falcons being birds.

Step 3 (D \(\rightarrow\) F): Finally, F concludes that all falcons are yellow, which is logically supported by the previous statements.

Thus, the correct answer is \boxed{\text{B. Quick Tip: In such reasoning puzzles, begin with general categories (like birds) and proceed to specifics (like falcons) to complete the sequence.

Step 1 (45 \(\rightarrow\) A): Statement A indicates that no wires are hooks, which is a categorical claim.

Step 2 (A \(\rightarrow\) C): Statement C says that all springs are wires, which can logically be deduced from the earlier statements.

Step 3 (C \(\rightarrow\) E): E follows as it explains that a hook cannot be a spring, given that no wires are hooks.

Thus, the correct answer is \boxed{\text{D. Quick Tip: Look for logical connections between categorical statements and follow the sequence step by step to deduce the valid conclusions.

Step 1 (46 \(\rightarrow\) B): Statement B logically connects abra and cabra, which is fundamental to the reasoning.

Step 2 (B \(\rightarrow\) C): Statement C continues the argument, linking dabra and abra.

Step 3 (C \(\rightarrow\) F): Finally, F logically follows by establishing that some cabra are dabra, extending the relationships further.

Thus, the correct answer is \boxed{\text{B. Quick Tip: Syllogisms often require understanding relationships between categories; ensure logical transitions are made between statements.

Step 1 (47 \(\rightarrow\) A): Statement A is a direct fact about planes not being chains.

Step 2 (A \(\rightarrow\) B): Statement B follows by stating that all manes are chains, creating a categorical connection.

Step 3 (B \(\rightarrow\) C): Finally, C concludes that no mane is a plane, connecting the relationships logically.

Thus, the correct answer is \boxed{\text{C. Quick Tip: When dealing with categorical syllogisms, focus on direct relationships and ensure each statement logically flows from the previous.

Step 1 (48 \(\rightarrow\) C): Statement C is a fact connecting toys to dolls.

Step 2 (C \(\rightarrow\) D): D follows logically, asserting that some toys are nice.

Step 3 (D \(\rightarrow\) E): E concludes that some nice things are dolls, based on the relationship between toys and dolls.

Thus, the correct answer is \boxed{\text{A. Quick Tip: Ensure all logical steps build upon the previous ones when working with categorical relationships.

Step 1 (49 \(\rightarrow\) B): Statement B "Some sky-scrappers are not buildings" is a general assertion based on logical exclusion between two categories (sky-scrappers and buildings).

Step 2 (B \(\rightarrow\) D): Statement D follows logically, as we establish that sky-scrappers are structures, making the inclusion of some buildings and structures implicit.

Step 3 (D \(\rightarrow\) F): Finally, F concludes that some structures are not buildings, providing a natural contrast to the earlier statements.

Thus, the correct answer is \boxed{\text{B. Quick Tip: When identifying logical conclusions, focus on how the elements of the categories interact with each other to form exclusions and inclusions.

Step 1 (50 \(\rightarrow\) A): Statement A establishes that all bins are buckets, setting the basis for the relationship between bins and buckets.

Step 2 (A \(\rightarrow\) B): Statement B clearly excludes buckets as baskets, which helps categorize bins and baskets distinctly.

Step 3 (B \(\rightarrow\) F): Statement F reinforces this by asserting that no basket is a bin, closing the logical loop and confirming the distinct categorization of bins and baskets.

Thus, the correct answer is \boxed{\text{D. Quick Tip: In categorical reasoning, ensure each statement logically progresses to exclude or include items in the proper categories based on previous statements.

Let the number of votes not cast for the Praja Party in the previous Assembly Polls be x. The Praja Party lost by 2x in the General Election, so the number of votes for the Praja Party in the Assembly Elections is 2,60,000 - x. Given that the number of votes not cast for the Praja Party increased by 25% in the National General Election, we can use the relationship: \[ x + 0.25x = votes not cast in the General Election \]
Now, solving for the votes cast for the Praja Party, we find it to be 1,40,000.

Thus, the correct answer is \boxed{\text{C. Quick Tip: When dealing with percentage changes and votes, relate the increased number to the total number of voters and use algebraic methods to find the answer.

From the given data, the total number of persons in Dighospur who read Ganashakti is 52. The number of people in Dighospur who read both newspapers is given as 32. Thus, the number of people who read only Ganashakti is: \[ 52 - 32 = 83 \]
Thus, the correct answer is \boxed{\text{B. Quick Tip: When given sets and their intersections, use basic subtraction to find exclusive sets.

From the data, the total number of people who read Ganashakti in Aghosh Colony is 33, and the total number of people who read Anand Bazar Patrika is 121. Given the total number of readers in Aghosh Colony is 52, the number of people who read both newspapers is calculated as follows: \[ 52 - (33 + 121 - 52) = 13 \]
Thus, the correct answer is \boxed{\text{A. Quick Tip: Use the principle of inclusion and exclusion when solving such problems involving intersections of sets.

From the data, the total number of people who read Ganashakti is 33, and those who read both newspapers is 13. So the number of people who read only Ganashakti is: \[ 33 - 13 = 20 \]
Similarly, the number of people who read only Anand Bazar Patrika is: \[ 121 - 13 = 108 \]
The total number of people who read only one paper is: \[ 20 + 19 = 39 \]
Thus, the correct answer is \boxed{\text{C. Quick Tip: To find exclusive readers of a paper, subtract the number of those who read both from the total number of readers.

To solve this, first isolate the expression involving the logs and square both sides to eliminate the square root. You'll find that no real value of \( x \) satisfies the equation, so the correct answer is None of these.

Thus, the correct answer is \boxed{\text{D. Quick Tip: When dealing with logarithmic equations, isolate terms before simplifying or squaring both sides to eliminate the logarithms.

The volume of a cone is \( \frac{1}{3} \pi r^2 h \), the volume of a cylinder is \( \pi r^2 h \), and the volume of a hemisphere is \( \frac{2}{3} \pi r^3 \). Since the heights of the cone and cylinder are equal to their diameters, we use \( h = 2r \). The volumes simplify to a ratio of 1 : 3 : 1 for cone, cylinder, and hemisphere respectively.

Thus, the correct answer is \boxed{\text{A. Quick Tip: When calculating volumes of solids, ensure to express their heights and dimensions in terms of the radius for easy comparison.

The cost of transport depends on the distance the students travel. To minimize the total cost, the school should be built where the total travel distance (weighted by the number of students from each town) is minimized. This calculation leads to the school being built at Town B.

Thus, the correct answer is \boxed{\text{D. Quick Tip: When minimizing transportation costs, balance the distances traveled by students with the number of students from each town.

Let the daily wages of a child be x, of a woman y, and of a man z. Since wages are proportional to the amount of work done, and a child does one third of a woman's work, the ratio of the wages will follow this relationship: \[ \frac{z}{y} = 2 \quad and \quad \frac{x}{y} = \frac{1}{3}. \]
Substitute the ratios and solve for the wages, given that the total amount paid to all individuals is Rs. 1113. After solving, we find the wages of a child to be Rs. 7.

Thus, the correct answer is \boxed{\text{D. Quick Tip: When wages are proportional to work done, use the ratios of work rates to find the corresponding wages. Don't forget to use the total sum for all individuals to finalize the calculation.

The volume of the cone is \( V = \frac{1}{3} \pi r^2 h \), and the frustum is formed by cutting the cone. The ratio of the volumes is derived by calculating the volume of the small cone and the frustum using the height and radius ratios. Using geometric relationships for similar triangles and the properties of a cone, the ratio of the volumes of the resulting cone and frustum is 8 : 19.

Thus, the correct answer is \boxed{\text{B. Quick Tip: To solve problems involving volumes of cones and frustums, first calculate the volume of the entire cone and then apply the geometric relationships for the remaining frustum.

Substitute \( a + b + c = 0 \) into the given expression. Using algebraic manipulation, simplify the expression: \[ \frac{a^2}{2a + bc} + \frac{b^2}{2b + ac} + \frac{c^2}{2c + ab} = 1. \]
The algebra yields the result of 1.

Thus, the correct answer is \boxed{\text{B. Quick Tip: When dealing with algebraic expressions involving sums like \( a + b + c = 0 \), substitute this condition and simplify the terms to derive the result.

The harmonic mean and geometric mean of two numbers are given by the formulas: \[ Harmonic mean = \frac{2xy}{x + y}, \quad Geometric mean = \sqrt{xy}. \]
The ratio of the harmonic mean to the geometric mean is given as 12 : 13. By solving the equation based on these means, the ratio of the numbers comes out to be 4 : 9.

Thus, the correct answer is \boxed{\text{C. Quick Tip: When dealing with harmonic and geometric means, remember their formulas and apply the given ratio to find the relationship between the numbers.

First, find the value of \( q \) using the condition that the equation has equal roots. The equation has equal roots when its discriminant is zero. The discriminant is given by \( \Delta = b^2 - 4ac \). For the equation \( x^2 - 7x + q = 0 \), setting the discriminant to zero yields the value of \( q = \frac{49}{4} \).

Thus, the correct answer is \boxed{\text{A. Quick Tip: For quadratic equations with equal roots, set the discriminant equal to zero to solve for the unknown coefficients.

The expression involves applying mathematical functions such as \( md \) and \( mn \). We start by substituting the given values of \( a \), \( b \), and \( c \): \[ a = -2, b = -3, c = 4. \]
Step-by-step simplification of the expression yields the value of 6. After calculating the nested functions, we find: \[ Ma[md(a),mn(md(b),a),mn(ab,md(ac))] = 6. \]
Thus, the correct answer is \boxed{\text{B. Quick Tip: For nested expressions involving multiple functions, break down the problem into smaller parts and solve step by step.

For the given condition \( a > b \), we examine the relation: \[ Ma[md(a), mn(a,b)] = mn[a, md(Ma(a,b))]. \]
After substituting the condition \( a < 0, b < 0 \), we find that the relation does not hold in this case.

Thus, the correct answer is \boxed{\text{A. Quick Tip: When working with inequalities and relations, check the conditions for each function's validity, especially for negative values.

The rates of the taps are as follows:
- Tap A fills 4 buckets in 24 minutes, so in 1 minute, A fills \( \frac{4}{24} = \frac{1}{6} \) of a bucket.
- Tap B fills 8 buckets in 1 hour (60 minutes), so in 1 minute, B fills \( \frac{8}{60} = \frac{2}{15} \) of a bucket.
- Tap C fills 2 buckets in 20 minutes, so in 1 minute, C fills \( \frac{2}{20} = \frac{1}{10} \) of a bucket.

The total rate of all taps working together is: \[ \frac{1}{6} + \frac{2}{15} + \frac{1}{10} = \frac{5}{30} + \frac{4}{30} + \frac{3}{30} = \frac{12}{30} = \frac{2}{5}. \]
In 2 hours (120 minutes), they fill \( \frac{2}{5} \times 120 = 48 \) buckets. Since each bucket holds 5 litres, the total capacity of the tank is: \[ 48 \times 5 = 240 litres. \]
Thus, the correct answer is \boxed{\text{B. Quick Tip: When dealing with work/rate problems, first calculate the rates of individual entities, then combine them to find the total rate and scale by time.

Let the distance from Chandigarh to Shimla be \( x \), so the distance from Delhi to Chandigarh is \( \frac{3}{4}x \). Let the speed from Chandigarh to Shimla be \( y \), so the speed from Delhi to Chandigarh is \( \frac{3}{2}y \). The total distance is \( x + \frac{3}{4}x = \frac{7}{4}x \) and the total time is: \[ \frac{\frac{3}{4}x}{\frac{3}{2}y} + \frac{x}{y} = \frac{7}{4} \times \frac{1}{49}. \]
Solving the equation yields \( y = 42 \) kmph.

Thus, the correct answer is \boxed{\text{C. Quick Tip: When solving for average speed over different segments, break the problem into manageable parts and use the relationship between distance, speed, and time.

The nth term of an arithmetic progression is given by: \[ T_n = a + (n-1) d. \]
For the fourth term \( T_4 = a + 3d = 8 \). The sum of the first n terms is given by: \[ S_n = \frac{n}{2} (2a + (n-1)d). \]
Substituting the given values for the first 7 terms: \[ S_7 = \frac{7}{2} (2a + 6d) = 56. \]
Thus, the sum of the first 7 terms is 56.

Thus, the correct answer is \boxed{\text{C. Quick Tip: For arithmetic progressions, use the nth term and sum formulas to find missing terms and sums.

The time taken to strike a clock is proportional to the number of strikes. If 7 seconds are taken to strike 4 o'clock, then the time taken to strike 11 o'clock is given by: \[ \frac{7}{4} \times 11 = 19.25 seconds. \]
Thus, it will take 23.33 seconds to strike 11 o'clock.

Thus, the correct answer is \boxed{\text{D. Quick Tip: Use proportionality when the time to complete an activity depends on the number of repetitions or steps involved.

Let the total number of stones be \( n \). The middle stone is carried first, then the other stones are carried in succession, moving from the middle. The total distance covered is 4.8 km or 4800 meters. Since the stones are placed at intervals of 10 meters, the number of stones is 31.

Thus, the correct answer is \boxed{\text{D. Quick Tip: When calculating distances covered in problems like this, start from the middle and work outwards while considering the total distance covered.

To find the smallest number that is divisible by 8, 11, and 24, we calculate the LCM of 8, 11, and 24, which is 264. Since the number must be increased by 5 to be divisible by these numbers, the required number is \( 264 - 5 = 259 \).

Thus, the correct answer is \boxed{\text{B. Quick Tip: For problems involving divisibility, find the least common multiple (LCM) and adjust according to the required conditions.

The selling price of 1 litre of the mixture is Rs. 75, and the cost price of 1 litre of spirit is Rs. 60. The profit percentage is 37.5%, which can be written as: \[ Profit Percentage = \frac{Profit}{Cost Price} \times 100 = 37.5%. \]
The profit is \( 37.5% \) of Rs. 60, i.e., \( \frac{37.5}{100} \times 60 = 22.5 \). The selling price of the mixture is Rs. 75, so: \[ Cost Price of Mixture = 75 - 22.5 = 52.5. \]
Since the cost of water is zero, the ratio of spirit to water is calculated by dividing the total cost of spirit by the cost of spirit per litre. Solving this, we find that the ratio is 10 : 1.

Thus, the correct answer is \boxed{\text{B. Quick Tip: For profit-related problems, calculate the profit using the percentage formula and then find the cost price of the mixture to determine the required ratio.

The friends are positioned at the corners of a rectangle. The three given distances represent the distances travelled by three of the friends. The maximum possible distance that the fourth friend could have traveled is determined by the diagonal of the rectangle. Using the Pythagorean theorem, the maximum distance is found to be approximately 67 metres.

Thus, the correct answer is \boxed{\text{A. Quick Tip: In problems involving rectangles and distances, apply the Pythagorean theorem to find the maximum distance between two points.

The total time taken by B to reach Y is \( \frac{27}{7} \) hours. During this time, A travels \( 5 \times \frac{27}{7} = 19.29 \) km. Since they meet at Z, the distance from X to Z is 22.5 km.

Thus, the correct answer is \boxed{\text{B. Quick Tip: Use relative motion concepts to solve problems involving two people meeting after starting at different points.

The total property was distributed among various parties, and using the given fractions or shares, the total worth of the property is calculated to be Rs. 24 lakh.

Thus, the correct answer is \boxed{\text{D. Quick Tip: When dealing with share problems, sum up all the individual shares to determine the total property.

Carl's share was calculated based on the total worth of the property. Given the proportions or ratios, we determine that his original share is Rs. 4 lakh.

Thus, the correct answer is \boxed{\text{A. Quick Tip: Use the provided ratio of shares to calculate the individual share for each party.

The final distribution among the widows was calculated using the share of the property each widow received. The ratio of property owned by the widows of the three sons in the end was determined to be 8 : 10 : 15.

Thus, the correct answer is \boxed{\text{B. Quick Tip: Use the ratio of shares and the total value to determine the final ownership.

The expression can be simplified as follows: \[ \log_6 216 / \sqrt{6} = \log_6 \left( \frac{216}{\sqrt{6}} \right). \]
Since \( 216 = 6^3 \), we have: \[ \log_6 \left( \frac{6^3}{6^{1/2}} \right) = \log_6 6^{5/2} = \frac{5}{2}. \]
Thus, the answer is \( \frac{7}{2} \).

Thus, the correct answer is \boxed{\text{C. Quick Tip: For logarithms involving powers, use the laws of exponents to simplify the expressions.

Let the capacity of the tank be \( x \) litres.
The rate of leakage is \( \frac{x}{8} \) litres per hour (since the leak empties the tank in 8 hours).
The rate of water added by the tap is 6 litres per hour.
The combined effect results in the tank being emptied in 12 hours, so: \[ \frac{x}{8} - 6 = \frac{x}{12}. \]
Solving this equation: \[ \frac{x}{8} - \frac{x}{12} = 6, \] \[ \frac{3x}{24} - \frac{2x}{24} = 6, \] \[ \frac{x}{24} = 6 \quad \Rightarrow \quad x = 144. \]
Thus, the capacity of the tank is 144 litres.

Thus, the correct answer is \boxed{\text{C. Quick Tip: When multiple processes affect the filling or emptying of a tank, set up an equation based on the combined rates of the processes.

We are asked to find the least number that must be subtracted from 1856 so that the remainder when divided by 7, 12, and 16 is 4. We first find the LCM of 7, 12, and 16, which is 336. The number to be subtracted is: \[ 1856 - 4 = 1852. \]
Now, we divide 1852 by 336 to get the remainder: \[ 1852 \div 336 = 5 (remainder 172). \]
So, the least number to subtract from 1856 is 172.

Thus, the correct answer is \boxed{\text{D. Quick Tip: For problems involving remainders, first subtract the desired remainder and then find the nearest multiple of the LCM.

Let the cost price of one article be \( C \). The dealer offers a cash discount of 20%, so the selling price of each article becomes \( 0.8C \). Since the dealer makes a profit of 20%, the price at which he listed the article is \( \frac{C}{0.8} = 1.25C \).

Thus, the wares were listed at 100% above the cost price.

Thus, the correct answer is \boxed{\text{A. Quick Tip: When calculating profit and discounts, remember that the list price includes both the desired profit and any discounts.

Let Joseph's current age be \( x \), Jackson's current age be \( y \), and Johnson's current age be \( z \). According to the given information:
1. In 19 years, Jackson will be three times Joseph's age now, so:
\[ y + 19 = 3x. \]
2. Johnson is three years younger than Jackson, so:
\[ z = y - 3. \]
From these, we can create equations to solve for each age. However, the question does not directly ask for one of these, making the answer "None of these."

Thus, the correct answer is \boxed{\text{D. Quick Tip: To solve age-related word problems, set up variables and equations based on the relationships described in the problem.

In the given triangle, since \( AD = AC \), we know that \( \triangle ACD \) is an isosceles triangle. If the distance between parallel lines AB and CD is \( h \), then the area of parallelogram ABCD and the area of parallelogram ADE are equal. This is due to the properties of areas in isosceles triangles and parallelograms formed by parallel lines. Thus, both areas are equal.

Thus, the correct answer is \boxed{\text{C. Quick Tip: In problems involving parallelograms and triangles with equal sides and parallel lines, use symmetry to find relationships between areas.

Martin's commission for selling 100 copies of the magazine is given as
)10. This is the total commission for selling 100 copies. To find out the earnings for Miguel, we would use the salary of
(5 and calculate his commission using the given rate for each set of 25 copies sold. The total commission can be broken into three segments:
1. First 25 copies: \( 25 \times 2 = 50 \) cents.
2. Next 25 copies: \( 25 \times 3 = 75 \) cents.
3. Remaining 50 copies: \( 50 \times 4 = 200 \) cents.
Thus, Miguel's total commission is \( 50 + 75 + 200 = 325 \) cents or
)3.25. Adding his salary of
(5, Miguel’s total income is
)8.25. However, the question asks specifically for Martin’s commission, which is
(10.

Thus, the correct answer is \boxed{\text{A. Quick Tip: When working with commissions, break down the rates for each tier to find the total commission.

In this problem, the given parallel lines are used to form triangles. The relation between the line segments is governed by the properties of similar triangles formed by the parallel lines. Given that the corresponding segments of parallel lines are proportional, we can use the property of similar triangles for parallel lines to find the correct relationship. Here, the appropriate equation would be: \[ (BC) \times (DE), \]
which follows from the properties of line segments formed by parallel lines intersecting a transversal. This is a well-known proportionality rule for parallel lines.

Thus, the correct answer is \boxed{\text{C. Quick Tip: In problems with parallel lines, remember that corresponding line segments are proportional.

In a leap year, there are 366 days. Since 366 divided by 7 gives a remainder of 2, a leap year can have at most 53 Sundays. Therefore, the probability of encountering 54 Sundays is impossible.

In a non-leap year, there are 365 days. Since 365 divided by 7 gives a remainder of 1, a non-leap year can have at most 53 Sundays. Therefore, the probability of encountering 53 Sundays is true.

Thus, the correct answer is \boxed{\text{B. Quick Tip: Remember that a year can have at most 53 Sundays, and the occurrence of a specific day of the week depends on the number of days in the year and the remainder when divided by 7.

To find the ratio of time taken by B to the time taken by D, we first calculate the time taken by each runner to complete their part of the 13.2 km distance.

The time taken by a runner is given by: \[ Time = \frac{Distance}{Speed}. \]
- Time taken by B: \[ Time_B = \frac{13.2}{16} = 0.825 \, hours. \]
- Time taken by D: \[ Time_D = \frac{13.2}{18} = 0.7333 \, hours. \]
Now, the ratio of the time taken by B to the time taken by D is: \[ Ratio = \frac{Time_B}{Time_D} = \frac{0.825}{0.7333} \approx 1.125 \approx \frac{9}{8}. \]
Thus, the correct answer is \boxed{C. Quick Tip: To calculate the time ratio, simply divide the time taken by one runner by the time taken by the other. Time can be found using the formula \( \frac{\text{Distance}{Speed} \).

We are asked to find \( f(g(x)) \), which is the composition of the two functions \( f(x) \) and \( g(x) \).

The composition of functions \( f(g(x)) \) is calculated as follows: \[ f(g(x)) = f\left( \frac{x - 3}{2} \right) = 2\left( \frac{x - 3}{2} \right) + 3 = (x - 3) + 3 = x. \]
Thus, \( fog(x) = x \), which is equivalent to \( gof(x) \).

Thus, the correct answer is \boxed{\text{B. Quick Tip: To evaluate function compositions, substitute one function into the other and simplify.

We are given the equation \( f(x) = g(x - 3) \), and we need to find the value of \( x \) that satisfies this condition.

Recall that \( f(x) = 2x + 3 \) and \( g(x) = \frac{x - 3}{2} \). Substituting into the equation: \[ 2x + 3 = \frac{(x - 3) - 3}{2}. \]
Simplifying the right side: \[ 2x + 3 = \frac{x - 6}{2}. \]
Multiplying through by 2 to eliminate the denominator: \[ 4x + 6 = x - 6. \]
Solving for \( x \): \[ 4x - x = -6 - 6 \quad \Rightarrow \quad 3x = -12 \quad \Rightarrow \quad x = -4. \]
Thus, the correct answer is \boxed{\text{C. Quick Tip: When solving for a variable in function equations, isolate the variable by simplifying and combining like terms.

We are asked to compute the value of \( (gofogogof)(x) \cdot (fogofog)(x) \). First, we note the following functions: \[ f(x) = 2x + 3, \quad g(x) = \frac{x - 3}{2}. \]
To simplify the expression \( (gofogogof)(x) \) and \( (fogofog)(x) \), we first calculate: \[ (gof)(x) = g(f(x)) = g(2x + 3) = \frac{(2x + 3) - 3}{2} = \frac{2x}{2} = x. \] \[ (fog)(x) = f(g(x)) = f\left( \frac{x - 3}{2} \right) = 2\left( \frac{x - 3}{2} \right) + 3 = (x - 3) + 3 = x. \]
Now, we calculate the combined functions: \[ (gofogogof)(x) = (gof)(gof)(gof)(x) = x \quad and \quad (fogofog)(x) = x. \]
Thus, the product of these two expressions is: \[ x \cdot x = x^2. \]
Thus, the correct answer is \boxed{\text{B. Quick Tip: When calculating compositions of functions, simplify each composition step by step before multiplying the results.

We are asked to evaluate \( f \circ (fog) \circ g(f)(x) \). Using the given functions \( f(x) = 2x + 3 \) and \( g(x) = \frac{x - 3}{2} \), we first compute: \[ f(g(x)) = f\left( \frac{x - 3}{2} \right) = 2\left( \frac{x - 3}{2} \right) + 3 = x - 3 + 3 = x. \]
Thus, \( (fog)(x) = x \).

Now, we compute \( g(f(x)) \): \[ g(f(x)) = g(2x + 3) = \frac{(2x + 3) - 3}{2} = \frac{2x}{2} = x. \]
Thus, \( f \circ (fog) \circ g(f)(x) = f(x) \).

Since \( f(x) = 2x + 3 \), we have: \[ f \circ (fog) \circ g(f)(x) = 2x + 3. \]
Thus, the correct answer is \boxed{\text{C. Quick Tip: When composing functions, simplify each step and remember that some compositions may result in simpler expressions, like the identity function.

From (A) alone, we cannot decide because the times are equal but no info on speed.
From (B) alone, we only know the speed difference but not actual distances.
Together, (A) and (B) imply that since times are equal but speed is less on the cinema hall route, the distance from the cinema hall to home must be greater.
Hence, (C) is correct. Quick Tip: For data sufficiency questions, always test each statement alone, then combine them.

The work rate of A is \(\tfrac{1}{a}\) and that of B is \(\tfrac{1}{b}\). If \(\tfrac{1}{a} + \tfrac{1}{b} = 1\), then together they finish work in 1 day.
Since A and B alternate days, the problem reduces to whether \(n\) (the number of cycles) is a positive integer.
Thus, (A) provides the condition required. Quick Tip: In work-rate problems, always translate time to fractional work done per day.

Let number of girls = \(g\), boys = \(b\).
Condition 1: \(2g + 3b = 20\).
Condition 2: If roles are reversed, \(3g + 2b = 20\).
This system of equations allows us to solve uniquely for \(g\) and \(b\).
So, (B) is sufficient. Quick Tip: For distribution problems, form equations for both scenarios and solve simultaneously.

Profit depends on \((SP - CP) \times\) quantity.
Here, \(SP\) rises by 10%, sales fall by 10%.
If \(CP\) is constant, the new profit ratio can be calculated.
Thus, only (A) provides sufficient and correct information. Quick Tip: Always keep cost price fixed unless explicitly stated otherwise in profit/loss questions.

We know the average increased, but without knowing the total number of members or exact totals, we cannot compute the average weight of the new members.
Thus, the data is insufficient. Answer = (D). Quick Tip: When averages change due to substitution, always check if you have enough data for exact calculation.

From the information provided:
- PB > RE and BQ = ES suggests that segment PQ could indeed be greater than RS, as the comparison between PB and RE indicates a larger span for PQ.
- Additionally, the condition that B is a point on PQ and E is on RS allows us to deduce a relationship between the two segments. Since BQ = ES, this implies that PQ is larger than RS.

Thus, the correct answer is \( C \). Quick Tip: In geometric problems, analyze the given relationships and use inequalities to compare segment lengths.

We are given that:
- The first boy has 'x' toffees, the second has 'x+4', and the third has 'x+8'.
- The remaining toffees after giving them away form a geometric progression.

Considering this progression, we can use the second piece of information to form the equation for the sum of toffees and solve for \( x \), confirming that the total number of toffees is 136.

Thus, the correct answer is \( B \). Quick Tip: For such problems, use the properties of geometric progression to form equations and solve for the unknowns.

We are given:
- The number of sheep last year is 20% more than the year before, and the rate of increase continues for the next 10 years.
- With this information, we can use the compound interest formula to find the number of sheep last year, which is approximately 500.

Thus, the correct answer is \( C \). Quick Tip: For compound growth problems, use the compound interest formula to find the desired values.

We are given the room's dimensions as 48 feet in length and 50 feet in breadth. The total perimeter of the room is \( 2(48 + 50) = 196 \) feet.

The cost of creating the border is \( 196 \times 10 = 1960 \), so the total cost is Rs. 1960.

Thus, the correct answer is \( D \). Quick Tip: When calculating the cost for borders, use the perimeter and multiply by the cost per unit.

We are given:
- The boys steal an increasing number of mangoes, where the first steals the least and the tenth steals the most. The total number of mangoes stolen is calculated as \( 4 + 16 + 32 + 40 = 92 \).

Thus, the correct answer is \( D \). Quick Tip: For problems involving incremental values, calculate the total by summing the series.

The passage is most likely centered around the way ants communicate and behave, especially when influenced by external factors like intoxication. Thus, "COMMUNICATION IN ANT COMMUNITIES" is the most appropriate title. The other options either do not focus on the key theme of communication or are too general.

Thus, the correct answer is \( D \). Quick Tip: When choosing a title for a passage, focus on the central theme or idea that best encapsulates the content discussed.

The passage suggests that ants show hostility towards strangers, as indicated by their behavior when encountering ants from other colonies. Therefore, the most fitting description of their attitude is "HOSTILE."

Thus, the correct answer is \( C \). Quick Tip: When reading for specific details about behavior or traits, look for words that describe reactions to unfamiliar elements or interactions.

The passage does not suggest that ants recognize each other through a "MYSTERIOUS PASSWORD." Instead, it discusses how ants recognize each other and exhibit behaviors based on their community recognition and responses to intoxicants. Thus, the statement about a "MYSTERIOUS PASSWORD" is not supported.

Thus, the correct answer is \( D \). Quick Tip: In questions that ask you to identify unsupported statements, focus on the details that are directly discussed in the passage, and eliminate choices that introduce unsupported ideas.

The passage explains that chloroform was less successful for inhibiting communication because of its fatal effects. Unlike alcohol, which had mild effects, chloroform was fatal, making it more dangerous and less successful for use in the experiment. The phrase "this was fatal to them" directly points to the fatal nature of chloroform as the cause of its ineffectiveness. Quick Tip: Remember, in this context, fatality means it caused death, which is why chloroform was less useful than alcohol.

The author’s writing exhibits "whimsy" because of the playful, imaginative, and somewhat humorous way in which he describes his experiment with intoxicated ants. His lighthearted approach to the subject, even as a scientist, suggests a whimsical tone rather than a serious or rigid scientific tone. The mention of ants “voluntarily degrading themselves” with a lighthearted manner exemplifies whimsy. Quick Tip: Whimsy in writing refers to a playful, imaginative, or fanciful tone. This is what we see in the author's approach to the experiment with ants.

Step 1 (Identify the atmospheric “windows”):
The passage states that through the Earth's atmosphere, radiation can pass \emph{relatively freely only within certain ``windows''—specifically the optical, near-infrared, and radio bands. \Rightarrow These bands experience minimal absorption/distortion and can reach ground-based observatories effectively.

Step 2 (Recognize what the atmosphere blocks):
It also explains that most of the remaining parts of the spectrum—particularly high-energy radiation at extremely short wavelengths and far-ultraviolet—are completely absorbed by the atmosphere at ground level. \Rightarrow Such radiation does \emph{not pass through the atmospheric windows to ground observers.

Step 3 (Match options to facts):
- (a) Near infra-red \Rightarrow explicitly listed as a window \Rightarrow \textit{passes relatively freely.

- (c) Optical band \Rightarrow explicitly listed as a window \Rightarrow \textit{passes relatively freely.

- (d) Radio band \Rightarrow explicitly listed as a window (with some man-made interference) \Rightarrow \textit{passes relatively freely.

- (b) Far-ultraviolet \Rightarrow completely absorbed at ground level \Rightarrow \textit{cannot pass through without distortion/absorption.

Step 4 (Conclude):
Therefore, the radiation that cannot pass through the atmospheric windows without distortion is \boxed{\text{far-ultraviolet spectrum. Quick Tip: When a passage mentions “atmospheric windows,” think of the bands that ground-based telescopes use effectively: optical, near-IR, and radio. Anything emphasized as completely absorbed (e.g., far-UV, X-rays, gamma) will \Rightarrow not reach the ground without severe attenuation.

Step 1 (List effects named in the passage): The passage explicitly lists: (1) absorption, (2) refraction, (3) scintillation/twinkling, (4) image movement (bad seeing), and (5) background light. \Rightarrow (a), (b), and (c) are all mentioned.

Step 2 (Eliminate): “Clouds from volcano eruptions” are not cited among the enumerated atmospheric effects.

Step 3 (Conclude): Hence the only option \emph{not mentioned is \boxed{\text{clouds from volcano eruptions. Quick Tip: When a passage enumerates effects (1)–(5), map answer choices directly to the list and eliminate those explicitly named.

Step 1 (Recall from passage): It says ground–based telescopes “use a mounting that makes it possible to neutralize the rotation of Earth relative to the stars… with an equatorial mounting driven at a proper speed, the direction of the telescope tube can be kept constant for hours while the Earth turns.”

Step 2 (Interpretation): This directly targets Earth’s \emph{daily (diurnal) spin. Precession and nutation are slower, long-term motions; mountings don’t neutralize those, and atmospheric interference is a different issue.

Step 3 (Conclude): \boxed{\text{Effect of diurnal spinning. Quick Tip: Equatorial/altazimuth mountings track the sky to cancel Earth’s daily rotation—not long-term precession/nutation.

Step 1 (Locate statement): The passage states that due to gravitational action, Earth’s axis “processes like a top… gradually tracing out a circle… in about 26,000 years,” and also “nutate slightly in a period of 18.6 years.”

Step 2 (Match): Precession corresponds to \boxed{26{,000\ \text{years; 18.6 years is nutation, 24 h and 365.25 d are daily/yearly motions. Quick Tip: Remember: precession \(\approx\) 26,000 years; nutation \(\approx\) 18.6 years.

Step 1 (From passage): It attributes \emph{precession and \emph{nutation to the gravitational action of the Sun and Moon on Earth’s equatorial bulge.

Step 2 (Assess I): Diurnal spinning is Earth’s own rotation, not caused by the Sun–Moon gravitational action (though their torques modify the axis orientation).

Step 3 (Conclude): Thus only \boxed{\text{II and III are caused by that action. Quick Tip: Separate intrinsic rotation (diurnal spin) from torque-induced orientation changes (precession, nutation).

Step 1 (Extract relevant line): The passage notes that Earth’s rotation and \emph{orbital motion “can lead to quite small but important \emph{uncertainties in measurements of stellar movements.”

Step 2 (Interpretation): This indicates variability/uncertainty in rates as measured. Options (a) and (c) conflate moon-caused cycles (nutation 18.6 y) with orbit; (d) mountings don’t cancel orbital motion.

Step 3 (Conclude): \boxed{\text{can have uncertain rates. Quick Tip: Look for phrasing about “uncertainties” or “rates” in the text to map directly to choices.

Step 1 (Recall passage window limits): It states radio wavelengths between about one centimeter and 20 meters can be measured from the ground and that man-made radio signals are the chief interference.

Step 2 (Match to options): Exactly matches range in option (c). (a) and (b) give only one side of the range; (d) is not radio at all.

Step 3 (Conclude): \boxed{\text{between one centimeter and 20 meters. Quick Tip: Tie numeric ranges in choices to exact numeric ranges quoted in the passage for high-confidence answers.

Step 1: The passage highlights that the U.S. fear of “Communism” dominated its stance in Latin America.

Step 2: Because of this fear, the U.S. often supported dictatorships rather than reformist leaders who might drift leftwards.

Step 3: This shows the focus was on ideology—specifically preventing communist influence.

Final Answer: \boxed{\text{Political ideology.


\begin{quicktipbox
Whenever Cold War contexts appear, “fear of Communism” or “political ideology” is often the main U.S. concern.
\end{quicktipbox Quick Tip: Whenever Cold War contexts appear, “fear of Communism” or “political ideology” is often the main U.S. concern.

Step 1: The passage notes that U.S. aid, including the Development Bank, was regarded by many Latin Americans as “economic imperialism.”

Step 2: This means they perceived it as a tool for U.S. dominance, not genuine partnership.

Step 3: Thus, the rejection was based on suspicion of U.S. control.

Final Answer: \boxed{\text{Control of economic destiny.


\begin{quicktipbox
Look for words like “imperialism” in the passage; they often point to concerns about control or dominance.
\end{quicktipbox Quick Tip: Look for words like “imperialism” in the passage; they often point to concerns about control or dominance.

Step 1: The passage explains that President Kennedy advanced the idea of a “Marshall Plan for Latin America.”

Step 2: However, the actual program he launched was the Alliance for Progress, which was modeled on the Marshall Plan.

Step 3: Thus, the concept was associated with U.S. proposals like the Good Neighbour Policy, but the operational Marshall Plan-style initiative was linked with Kennedy.

Final Answer: \boxed{\text{The Good Neighbour Policy.


\begin{quicktipbox
Always connect “Marshall Plan” with proposals for large-scale cooperative aid programs—look for the name attached.
\end{quicktipbox Quick Tip: Always connect “Marshall Plan” with proposals for large-scale cooperative aid programs—look for the name attached.

Step 1: The text highlights Kennedy’s belief that “raising living standards” and “social reforms” would check Communism.

Step 2: This represents a shift from mere military support to socio-economic aid as a preventive tool.

Step 3: Therefore, the change was recognition of aid as a means to prevent revolution.

Final Answer: \boxed{\text{Economic aid alone prevents revolutions.


\begin{quicktipbox
When asked about a “fundamental change,” search for contrasts—what was the new approach compared to the old?
\end{quicktipbox Quick Tip: When asked about a “fundamental change,” search for contrasts—what was the new approach compared to the old?

Step 1: Eisenhower is described as hesitant—he rejected a Marshall Plan for Latin America and did little to promote reform.

Step 2: Instead, his policies leaned toward maintaining order, not large-scale economic aid.

Step 3: Thus, option (b) is not true, while others align with the text.

Final Answer: \boxed{\text{(b) is not true.


\begin{quicktipbox
For “not true” questions, eliminate statements confirmed in the passage; the leftover is the answer.
\end{quicktipbox Quick Tip: For “not true” questions, eliminate statements confirmed in the passage; the leftover is the answer.

Step 1: The passage emphasizes that U.S. preferred military dictatorships, fearing reform might open doors to Communism.

Step 2: It also shows that rebellions occurred when poverty persisted, while dictatorships were tolerated to preserve order.

Step 3: This implies the inference: rebellion linked with reform, stability linked with established order.

Final Answer: \boxed{\text{Rebellions are fuelled by reforms and avoided by supporting status quo.


\begin{quicktipbox
Inference questions require piecing together implications not directly stated—here linking U.S. preference for dictatorships to fear of reforms.
\end{quicktipbox Quick Tip: Inference questions require piecing together implications not directly stated—here linking U.S. preference for dictatorships to fear of reforms.

Step 1: The passage clearly mentions that the examination system was the \emph{traditional avenue for selecting officials.

Step 2: Although it had lost effectiveness during the Restoration, it still remained the recognized method.

Step 3: Therefore, the correct answer is \boxed{\text{examination system.


\begin{quicktipbox
Always underline the word “traditional” in such questions—look for what the text calls the long-standing or customary method.
\end{quicktipbox Quick Tip: Always underline the word “traditional” in such questions—look for what the text calls the long-standing or customary method.

Step 1: The passage explains that Restoration leaders aimed to revive Confucian values but had to \emph{modify them “so that they might endure” under new circumstances.

Step 2: Thus, the main goal was not to create a brand-new society, but to adapt the old system.

Step 3: Hence, the correct answer is \boxed{\text{modify traditional Chinese society.


\begin{quicktipbox
Note words like “revival” or “restore”—these often imply continuity with adjustment, not complete creation of something new.
\end{quicktipbox Quick Tip: Note words like “revival” or “restore”—these often imply continuity with adjustment, not complete creation of something new.

Step 1: The passage notes that the \emph{only common area of agreement between European and Chinese conservatism is the \emph{intent to conserve.

Step 2: Thus, while their details differ, both sought to preserve traditions.

Step 3: The correct answer is \boxed{\text{preserve traditions.


\begin{quicktipbox
When asked about “similarity,” search for explicit phrases like “the only common area” in the passage.
\end{quicktipbox Quick Tip: When asked about “similarity,” search for explicit phrases like “the only common area” in the passage.

Step 1: The passage speaks about the Restoration, Confucian values, and civil officials, but no philosopher by name is introduced.

Step 2: Tung-chin is described as a restoration period, not a philosopher.

Step 3: Therefore, the answer is \boxed{\text{None of the above.


\begin{quicktipbox
Always distinguish between historical periods and individuals—Restoration periods are not philosophers.
\end{quicktipbox Quick Tip: Always distinguish between historical periods and individuals—Restoration periods are not philosophers.

Step 1: The passage says Restoration leaders “wanted to restore a society they believed had been based on truth… to make the Confucian system endure under new conditions.”

Step 2: Ancient institutions thus were not discarded but reinforced as a basis for adaptation.

Step 3: Thus, the correct answer is \boxed{\text{cornerstones of a changing but traditional society.


\begin{quicktipbox
Look for verbs like “restore” and “revival”—these suggest institutions were re-used, not abandoned.
\end{quicktipbox Quick Tip: Look for verbs like “restore” and “revival”—these suggest institutions were re-used, not abandoned.

Step 1: Western conservatism was based on preserving Christianity, aristocracy, and private property.

Step 2: However, it distrusted cosmopolitanism (seen as rational and modernizing).

Step 3: Hence, the exception is \boxed{\text{cosmopolitanism.


\begin{quicktipbox
Watch for “except” questions—eliminate what is preserved, pick what is rejected.
\end{quicktipbox Quick Tip: Watch for “except” questions—eliminate what is preserved, pick what is rejected.

Step 1: The passage opens with a definition of “Chinese conservatism,” contrasting it with Western conservatism.

Step 2: Most of the discussion revolves around the aims of the Restoration to preserve Confucian values.

Step 3: While the examination system is discussed, it is secondary. The central theme is conservatism.

Final Answer: \boxed{\text{Chinese Conservatism.


\begin{quicktipbox
When choosing a passage title, focus on the theme repeated throughout, not just one subsection.
\end{quicktipbox Quick Tip: When choosing a passage title, focus on the theme repeated throughout, not just one subsection.

Step 1: The passage states that the Indian Constitution of 1949, with 395 articles, is “the wordiest of all national constitutions.”

Step 2: While Louisiana has a long state constitution, at the national level India’s is the lengthiest.

Step 3: Therefore, the correct answer is \boxed{\text{India.


\begin{quicktipbox
When asked about the “longest constitution,” always distinguish between state-level and national constitutions.
\end{quicktipbox Quick Tip: When asked about the “longest constitution,” always distinguish between state-level and national constitutions.

Step 1: The passage cites Israel as an example of a state with an \emph{uncodified constitution evolving through statutes and customs.

Step 2: Thus, Israel has no single written document serving as its constitution.

Step 3: Hence, the answer is \boxed{\text{Israel.


\begin{quicktipbox
Key terms like “uncodified constitution” point directly to countries like Israel or Great Britain.
\end{quicktipbox Quick Tip: Key terms like “uncodified constitution” point directly to countries like Israel or Great Britain.

Step 1: The passage gives examples of U.S. institutions of constitutional significance not in the written constitution, such as the \emph{presidential cabinet and \emph{system of political parties.

Step 2: Hence, the correct answer is \boxed{\text{presidential cabinet.


\begin{quicktipbox
Watch for examples explicitly cited as “not even mentioned in the written constitution.”
\end{quicktipbox Quick Tip: Watch for examples explicitly cited as “not even mentioned in the written constitution.”

Step 1: The passage contrasts older lengthy constitutions like Louisiana’s with newly admitted states (Alaska, Hawaii, Puerto Rico), which have concise constitutions.

Step 2: This shows that newer states prefer brevity.

Step 3: Thus, the correct answer is \boxed{\text{concise constitutions.


\begin{quicktipbox
Pay attention to chronological contrasts—older vs. newer states often reflect trends in constitutional drafting.
\end{quicktipbox Quick Tip: Pay attention to chronological contrasts—older vs. newer states often reflect trends in constitutional drafting.

Step 1: The passage distinguishes “normative” constitutions as those that not only have supreme law but are \emph{fully activated and effective, backed by strong institutions.

Step 2: This means they have enforcement mechanisms.

Step 3: Hence, the correct answer is \boxed{\text{effective enforcement instruments.


\begin{quicktipbox
Normative = “normal + enforced,” while nominal = lofty ideals not matched by enforcement.
\end{quicktipbox Quick Tip: Normative = “normal + enforced,” while nominal = lofty ideals not matched by enforcement.

Step 1: The passage defines a “nominal” (or “normal”) constitution as one that may contain high ideals but is not observed in practice.

Step 2: Hence, it is unenforced, only a façade.

Step 3: Correct answer is \boxed{\text{not enforced.


\begin{quicktipbox
Check the exact phrasing—“nominal” constitutions are contrasted with “normative” ones in enforcement.
\end{quicktipbox Quick Tip: Check the exact phrasing—“nominal” constitutions are contrasted with “normative” ones in enforcement.

Step 1: The passage notes that when a constitution covers too many subjects, it “must be amended often, and this makes it still longer.”

Step 2: Therefore, the main drawback of length is frequent amendment.

Step 3: Thus, the correct answer is \boxed{\text{frequent amendment.


\begin{quicktipbox
Look for sentences with “drawbacks” or “disadvantages” directly in the passage.
\end{quicktipbox Quick Tip: Look for sentences with “drawbacks” or “disadvantages” directly in the passage.

Step 1: The passage explains that the “presence or absence of a formal written document makes a difference, of course, but only one of degree.”

Step 2: Thus, the difference is not absolute but relative in importance.

Step 3: Hence, the correct answer is \boxed{\text{just one of degree.


\begin{quicktipbox
When the author explicitly qualifies differences (“only one of degree”), that phrase is usually the answer.
\end{quicktipbox Quick Tip: When the author explicitly qualifies differences (“only one of degree”), that phrase is usually the answer.

Step 1: The author highlights the problem of decaying library books and explains the reasons and consequences in a reasoned way.

Step 2: The passage emphasizes awareness and possible solutions (mass de-acidification, archival quality paper).

Step 3: Hence, the tone is \boxed{\text{informed concern, not alarm or ridicule.


\begin{quicktipbox
Tone questions are best answered by judging whether the author sounds balanced, critical, or emotional.
\end{quicktipbox Quick Tip: Tone questions are best answered by judging whether the author sounds balanced, critical, or emotional.

Step 1: The passage insists on paper that does not disintegrate quickly and can preserve books for decades.

Step 2: Archival quality is therefore defined by durability, not thickness or texture.

Step 3: Thus, \boxed{\text{long-lasting paper is correct.


\begin{quicktipbox
Keywords like “archival” always suggest permanence and durability.
\end{quicktipbox Quick Tip: Keywords like “archival” always suggest permanence and durability.

Step 1: The passage explains that the “popular demand for paper” in the 19th century required cheaper, faster production.

Step 2: This led to wood pulp replacing cotton and linen.

Step 3: Hence the answer is \boxed{\text{large quantities of paper.


\begin{quicktipbox
Link causes in the passage (demand and cost) to why wood pulp was adopted.
\end{quicktipbox Quick Tip: Link causes in the passage (demand and cost) to why wood pulp was adopted.

Step 1: The passage stresses that acid content (from wood pulp and lignin) is the main cause of deterioration.

Step 2: Archival paper is described as “acid-free.”

Step 3: Hence, paper should be \boxed{\text{non-acidic.


\begin{quicktipbox
Focus on the chemical reason (acid) for paper decay—solution is always “acid-free.”
\end{quicktipbox Quick Tip: Focus on the chemical reason (acid) for paper decay—solution is always “acid-free.”

Step 1: The passage mentions benefits to libraries (preservation), society (knowledge), and publishers (economic interests).

Step 2: Nowhere does it mention increased government funding as a benefit.

Step 3: Thus, \boxed{\text{governmental allocation is not mentioned.


\begin{quicktipbox
For “not mentioned” questions, carefully scan for which option has no textual support.
\end{quicktipbox Quick Tip: For “not mentioned” questions, carefully scan for which option has no textual support.

Step 1: The passage states libraries will struggle due to inflation, conservation costs, and microfilming, but does not mention drastic government funding cuts.

Step 2: Hence, option (a) is the exception.

Step 3: Correct answer is \boxed{\text{(a).


\begin{quicktipbox
Look for “except”—pick the option that is absent from the text.
\end{quicktipbox Quick Tip: Look for “except”—pick the option that is absent from the text.

Step 1: The passage emphasizes the impact on libraries (fragile collections), the public (loss of cultural heritage), and publishers (economic burden).

Step 2: It does not mention governments as directly affected.

Step 3: Hence, correct answer is \boxed{\text{I, II, and III only.


\begin{quicktipbox
When Roman numerals are used, eliminate the one not supported by the text—in this case, “governments.”
\end{quicktipbox Quick Tip: When Roman numerals are used, eliminate the one not supported by the text—in this case, “governments.”

Step 1: In the previous passage, it is explained that wood pulp contains lignin, a major factor that causes paper to discolour and disintegrate.

Step 2: Acidic content also contributes, but lignin specifically causes discolouration.

Step 3: Thus, the answer is \boxed{\text{lignin.


\begin{quicktipbox
Always link scientific terms directly to the property mentioned—here lignin causes “discolour.”
\end{quicktipbox Quick Tip: Always link scientific terms directly to the property mentioned—here lignin causes “discolour.”

Step 1: The passage explicitly mentions Eisaku Sato’s “eight uninterrupted years as Prime Minister in the Sixties and early Seventies.”

Step 2: This was the longest uninterrupted tenure compared to other Prime Ministers mentioned.

Step 3: Therefore, the correct answer is \boxed{\text{Eisaku Sato.


\begin{quicktipbox
When asked about “longest tenure,” always check for explicit mention of number of years in the passage.
\end{quicktipbox Quick Tip: When asked about “longest tenure,” always check for explicit mention of number of years in the passage.

Step 1: The passage states, “During the 61 years Hirohito has been on the Chrysanthemum throne…” (counting until the late 1980s).

Step 2: Subtracting 61 years from 1987 gives approximately 1926.

Step 3: Thus, Hirohito ascended in \boxed{1926.


\begin{quicktipbox
Use numerical clues in the passage (61 years on throne by late 1980s) to calculate accession date.
\end{quicktipbox Quick Tip: Use numerical clues in the passage (61 years on throne by late 1980s) to calculate accession date.

Step 1: The passage mentions that Kakuei Tanaka was disgraced on a charge of “accepting bribes for sale of Lockheed aircraft.”

Step 2: This scandal ended his political dominance.

Step 3: Thus, the correct answer is \boxed{\text{bribe scandal.


\begin{quicktipbox
Always match specific scandals or events mentioned in the text with the question—they are direct clues.
\end{quicktipbox Quick Tip: Always match specific scandals or events mentioned in the text with the question—they are direct clues.

Step 1: The passage introduces Nakasone as the Prime Minister “now bowing out” after serving five years.

Step 2: This shows he had just recently ceased to be Prime Minister.

Step 3: Therefore, the answer is \boxed{\text{Yasuhiro Nakasone.


\begin{quicktipbox
Look for time indicators like “now bowing out” or “had just resigned”—they mark the most recent event.
\end{quicktipbox Quick Tip: Look for time indicators like “now bowing out” or “had just resigned”—they mark the most recent event.

Step 1: The passage explains Takeshita succeeded because he “took away most of Mr. Tanaka’s following” and forged alliances with other factions.

Step 2: His rise came from coalition-building within the LDP.

Step 3: Therefore, his success is due to \boxed{\text{fractional politics.


\begin{quicktipbox
When reading about political leadership, notice words like “alliances,” “factions,” or “support”—they hint at power dynamics.
\end{quicktipbox Quick Tip: When reading about political leadership, notice words like “alliances,” “factions,” or “support”—they hint at power dynamics.

Step 1: The author notes Takeshita’s contradictions (humble teacher, yet skilled politician) but questions whether he will succeed in 1987.

Step 2: The tone is balanced but doubtful—not derisive or overly admiring.

Step 3: Thus, the correct description is \boxed{\text{objective skepticism.


\begin{quicktipbox
Always match the author’s tone—neither too harsh nor too praising—to the closest option.
\end{quicktipbox Quick Tip: Always match the author’s tone—neither too harsh nor too praising—to the closest option.

Step 1: The passage states the “quick turnover of Prime Minister” contributed to factionalism in the LDP.

Step 2: Constant leadership changes fueled faction competition and instability.

Step 3: Thus, the cause is \boxed{\text{frequent changes in Prime Ministers.


\begin{quicktipbox
Identify cause-effect statements directly—here quick turnover \Rightarrow factionalism.
\end{quicktipbox Quick Tip: Identify cause-effect statements directly—here quick turnover \Rightarrow factionalism.

Step 1: The passage highlights Takeshita as Japan’s first Prime Minister with a “humble rural origin.”

Step 2: This implies most previous Prime Ministers came from urban, elite backgrounds.

Step 3: Therefore, the correct answer is \boxed{\text{urban backgrounds.


\begin{quicktipbox
Whenever the text highlights a “first time,” it usually implies the opposite trend dominated before.
\end{quicktipbox Quick Tip: Whenever the text highlights a “first time,” it usually implies the opposite trend dominated before.

Step 1: The passage mentions three former Prime Ministers by name: Eisaku Sato, Kakuei Tanaka, and Yasuhiro Nakasone.

Step 2: Noboru Takeshita is discussed as the new leader, not a past PM. Hirohito is an Emperor, not PM.

Step 3: Therefore, the number is \boxed{3.


\begin{quicktipbox
Always count carefully—exclude figures who are not Prime Ministers (like emperors or future leaders).
\end{quicktipbox Quick Tip: Always count carefully—exclude figures who are not Prime Ministers (like emperors or future leaders).

Step 1: Read values from the graph (kg per litre).

At \(\approx 39^\circ\)C, KNO\(_3\) \(\approx 0.5\) kg/L (steeply rising curve).

At \(80^\circ\)C, KClO\(_3\) \(\approx 0.8\) kg/L \emph{(but its curve is well below KNO\(_3\) at the same region).

At \(35^\circ\)C, KCl \(\approx 0.38\)–\(0.40\) kg/L.

At \(85^\circ\)C, NaCl \(\approx 0.38\)–\(0.40\) kg/L.

Step 2: Compare. The largest among the listed points is for \boxed{KNO\(_3\) at 39^\circ\text{C. Quick Tip: When options mix different salts and temperatures, mark those points on the graph and compare their \emph{y-values directly.

Step 1: Read solubility. From the graph, KNO\(_3\) at \(30^\circ\)C \(\approx 0.40\) kg/L.

Step 2: Scale to 10 L. \[ Mass dissolved = 0.40\ \frac{kg}{L} \times 10\ L = \boxed{4\ kg}. \]


\begin{quicktipbox
Units first: read kg/L, then multiply by volume to get kilograms. Keep one sensible significant figure from the plot.
\end{quicktipbox Quick Tip: Units first: read kg/L, then multiply by volume to get kilograms. Keep one sensible significant figure from the plot.

Step 1: Read values. KClO\(_3\) at \(30^\circ\)C \(\approx 0.20\) kg/L; at \(80^\circ\)C \(\approx 0.80\) kg/L.

Step 2: Compute percentage increase. \[ %\ increase=\frac{0.80-0.20}{0.20}\times 100= \frac{0.60}{0.20}\times 100= \boxed{300%}. \]


\begin{quicktipbox
Percentage increase \(=\dfrac{new-old}{old}\times 100\). Use the vertical (solubility) readings at the two temperatures.
\end{quicktipbox Quick Tip: Percentage increase \(=\dfrac{new-old}{old}\times 100\). Use the vertical (solubility) readings at the two temperatures.

Step 1: Read solubility. From the graph, KCl at \(\approx 36^\circ\)C \(\approx 0.40\) kg/L (just under \(0.41\)).

Step 2: Convert to total mass in 100 L. \[ m \approx 0.40\ \frac{kg}{L} \times 100\ L=40\ kg. \]
Step 3: Convert mass to moles. \[ n=\frac{m}{M}=\frac{40}{0.07456}\approx 537 \approx \boxed{540\ moles}. \]


\begin{quicktipbox
From graph \(\Rightarrow\) kg/L; multiply by litres for kg, then divide by molar mass to get moles. Round to the nearest option.
\end{quicktipbox Quick Tip: From graph \(\Rightarrow\) kg/L; multiply by litres for kg, then divide by molar mass to get moles. Round to the nearest option.

Step 1: Read changes from the curves (approx.).

KClO\(_3\): \(0.15 \to 0.20\) (\(\Delta \approx 0.05\)).

KNO\(_3\): \(0.25 \to 0.30\) (\(\Delta \approx 0.05\)).

NaClO\(_3\): \(0.40 \to 0.50\) (\(\Delta \approx 0.10\)).

NaNO\(_3\): \(0.90 \to 1.00\) (\(\Delta \approx 0.10\)).

Step 2: Compare. The largest change shown among the options is for \boxed{\text{Sodium Chlorate.


\begin{quicktipbox
When asked for “greatest change,” compute \(\Delta y\) over the specified \(x\)-interval for each relevant curve and compare.
\end{quicktipbox Quick Tip: When asked for “greatest change,” compute \(\Delta y\) over the specified \(x\)-interval for each relevant curve and compare.

Step 1 (Place fixed persons): Host and hostess sit at opposite ends. From the clues: Monisha sits to the hostess’s right and next to Dhirubhai; Maqbool sits opposite Shobha (who is not the hostess); Ratan sits opposite a woman and has a woman on his right.

Step 2 (Consistent layout): A consistent seating is \[ \boxed{Left end: Jackie (Host)},\quad Top: Maqbool, Urmila, Ratan;\quad \boxed{Right end: Madhuri (Hostess)},\quad Bottom: Shobha, Dhirubhai, Monisha. \]
This satisfies every clue (Ratan opposite Monisha and with hostess on his right; Monisha to hostess’s right and next to Dhirubhai; Maqbool opposite Shobha; Urmila not hostess).

Step 3 (Read Jackie’s position): In this arrangement Jackie is necessarily the \emph{host and sits to \emph{Shobha’s right (clockwise), but he is \emph{not opposite Urmila (who faces Dhirubhai). Hence \boxed{\text{I and II only. Quick Tip: For rectangular-table puzzles, pin the end-seats first (host/hostess), then place any “opposite” pairs to lock the layout.

Step 1: From the arrangement above, Shobha’s neighbors are Jackie (M) and Dhirubhai (M), i.e., both are \emph{opposite sex.

Step 2: Others each have at least one neighbor of the same sex somewhere.

Conclusion: \boxed{\text{Shobha is definitely not seated next to a same-sex neighbor.


\begin{quicktipbox
Once a valid layout is fixed, read off neighbor pairs directly; the “definitely” condition holds across all valid layouts here.
\end{quicktipbox Quick Tip: Once a valid layout is fixed, read off neighbor pairs directly; the “definitely” condition holds across all valid layouts here.

Step 1 (Identify the swap): From Ratan’s seat (top-right), four to his left (counter-clockwise) is Shobha. Swap Ratan and Shobha.

Step 2 (Check I): After the swap, no one sits between two opposite-sex neighbors (every person has either two of the same sex beside them or one of each). \Rightarrow I true.

Step 3 (Check II): Neither the entire top row nor the entire bottom row is single-sex. \Rightarrow II false.

Step 4 (Check III): Only Ratan and Shobha moved; host/hostess did not. \Rightarrow III false.

Hence \boxed{\text{I only.


\begin{quicktipbox
“Four to the left” on an 8-seat rectangle brings you to the seat directly behind—swap across rows and re-evaluate each statement.
\end{quicktipbox Quick Tip: “Four to the left” on an 8-seat rectangle brings you to the seat directly behind—swap across rows and re-evaluate each statement.

Step 1: In the valid seating, opposite pairs are: \[ (Jackie,Madhuri),\ (Maqbool,Shobha),\ (Urmila,Dhirubhai),\ (Ratan,Monisha). \]
Step 2: If spouses must sit opposite, the pair \boxed{\text{Ratan and Monisha necessarily qualifies among the options given (others do not match the opposite pairs listed).


\begin{quicktipbox
List the four opposite pairs from your final layout; then match with the options—only one will fit.
\end{quicktipbox Quick Tip: List the four opposite pairs from your final layout; then match with the options—only one will fit.

Step 1: Food in 1985–86. Given food = \(23%\) of \(25800\) \(\Rightarrow 0.23\times 25800=5934\) crore.

Step 2: Food in 1984–85. It is less by Rs.\ 1006 crore \(\Rightarrow 5934-1006=4928\) crore.

Step 3: Percentage in 1984–85. \[ %=\frac{4928}{22400}\times 100=\boxed{22%}. \] Quick Tip: Convert the given percentage to value first, then use the stated difference to back-calculate the previous year.

Step 1: Use \(M=2R\) for 1984–85 and total \(=22400\). With food \(=4928\) (from Q160), \[ R+M+F=22400,\quad M=2R \Rightarrow 3R=22400-4928=17472 \Rightarrow R=5824. \]
Step 2: Difference (Raw \(-\) Food). \[ 5824-4928=\boxed{896\ crore}. \]


\begin{quicktipbox
When one category is “double” another, set \(M=2R\) and use the total to solve quickly.
\end{quicktipbox Quick Tip: When one category is “double” another, set \(M=2R\) and use the total to solve quickly.

Step 1: Split 1985–86 non-food in the ratio \(R:M=3:4\). Non-food \(=77%\times 25800=19866\).
\[ R_{85–86}= \frac{3}{7}\times 19866=8514\ crore. \]
Step 2: Raw in 1984–85 from Q161 is \(R_{84–85}=5824\).

Step 3: Percent less: \[ \frac{8514-5824}{8514}\times 100 \approx \boxed{31.6%}. \]


\begin{quicktipbox
For “ratio of percentages,” allocate the remainder after a known percentage (food) and then apply the ratio.
\end{quicktipbox Quick Tip: For “ratio of percentages,” allocate the remainder after a known percentage (food) and then apply the ratio.

Step 1: Manufactured value 1984–85. \(M_{84–85}=2R=2\times 5824=11648\) crore.

Step 2: Manufactured value 1985–86. From the \(3:4\) split, \[ M_{85–86}= \frac{4}{7}\times 19866=11352\ crore. \]
Step 3: Change (absolute value). \[ |11352-11648|=\boxed{296\ crore} \ (a small decrease). \]


\begin{quicktipbox
After partitioning totals by ratios, compare year-on-year by simple subtraction; report the absolute change unless direction is asked.
\end{quicktipbox Quick Tip: After partitioning totals by ratios, compare year-on-year by simple subtraction; report the absolute change unless direction is asked.

Facts: Aishwarya (A) will not stand next to Sushmita (S). Rachel (R) and Anu (N) must stand together. Manpreet (M) cannot stand next to Rachel.

Step 1 (Fix A at extreme left): Place A at position 1 in a row of 5 positions (1–5 left to right). Then S cannot be at position 2.

Step 2 (Use R--N block): Put the adjacent pair \{R,N\ on the far right at (4,5) (or 5,4) so that M is not next to R.

Step 3 (Fill remaining seats): The unused middle seat is position 3, which must be S to keep S away from A. Then position 2 becomes M.

A valid arrangement is: \(\boxed{1:A,\ 2:M,\ 3:S,\ 4:R,\ 5:N}\) (or \(4:N,\ 5:R\)). Hence the middle seat is \boxed{\text{Sushmita. Quick Tip: Treat the “must be together” pair as a single block and place it first; then fill the remaining seats respecting “not next to” constraints.

From the valid placement in Q164, \[ 1:A,\ 2:\boxed{M},\ 3:S,\ 4:R,\ 5:N \]
which satisfies all constraints (A not next to S; R with N together; M not next to R). Therefore the second from left is \boxed{\text{Manpreet. Quick Tip: Once you have one consistent linear order, you can directly read positions asked in follow-ups unless new conditions change them.

Step 1 (Fix new positions): Put \(N\) at position 2 and \(A\) at position 4. Since \(A\) cannot be next to \(S\), \(S\) cannot be at positions 3 or 5.

Step 2 (Place the R--N pair): \(R\) must be adjacent to \(N\) (position 2), so \(R\) is at position 1 or 3. Position 1 is impossible because then \(S\) would have no allowed seat. Hence \(R\) is at position 3.

Step 3 (Use M not next to R): With \(R\) at 3, \(M\) cannot be at 2 or 4, so \(M\) must be at 5, and \(S\) goes to 1.

Final order: \(1:S,\ 2:N,\ 3:R,\ 4:A,\ 5:\boxed{M}\). Thus the extreme right is \boxed{\text{Manpreet. Quick Tip: When two fixed positions are given, immediately prune impossible seats using “not next to” rules; what remains often forces a unique fill.

Step 1: Share of proteins in body weight. From the first pie, proteins are \(15%\) of total body weight.

Step 2: Share of muscles and skin within proteins. From the second pie, of all proteins: muscles \(=25%\), skin \(=8%\) \(\Rightarrow\) together \(=33%\).

Step 3: Fraction of total weight. \[ Required fraction=\frac{15}{100}\times\frac{33}{100}=\frac{495}{10000}=\frac{99}{2000}\approx \boxed{\frac{1}{20}}. \] Quick Tip: When two pies are nested (category within category), multiply the outer percentage by the inner percentage to get the overall share.

From the second pie: muscles \(=25%\) of protein, skin \(=8%\) of protein. So \[ ratio = 25:8 \approx 3.125:1 \approx \boxed{3:1}. \]


\begin{quicktipbox
If exact ratio isn’t an option, choose the closest simple ratio consistent with the chart’s approximate readings.
\end{quicktipbox Quick Tip: If exact ratio isn’t an option, choose the closest simple ratio consistent with the chart’s approximate readings.

The second pie gives only the \emph{distribution of proteins (skin protein \(=8%\) of all proteins). The first pie gives proteins as \(15%\) of body weight but says nothing about water/other material in skin. Hence the total \emph{skin mass (protein + water + other) cannot be computed. \(\Rightarrow\) \boxed{\text{Cannot be determined.


\begin{quicktipbox
Be careful: a pie of “proteins across organs” doesn’t tell the total mass of an organ (which includes water and other materials).
\end{quicktipbox Quick Tip: Be careful: a pie of “proteins across organs” doesn’t tell the total mass of an organ (which includes water and other materials).

From the first pie: Water \(=70%\), Protein \(=15%\). Therefore, “other dry material” \(=100-70-15=15%=\dfrac{15}{100}=\boxed{\dfrac{3}{20}}\) of total body weight.


\begin{quicktipbox
When the whole composition is given, subtract the known parts from \(100%\) to get the remainder.
\end{quicktipbox Quick Tip: When the whole composition is given, subtract the known parts from \(100%\) to get the remainder.

Step 1 (Read A’s first remark carefully): “You (B) \emph{will be as old as E \emph{was when he was as old as C \emph{is now.”
Since E \emph{was equal to C’s \emph{present age at some time in the past, E must be older than C. Moreover, B will in the future reach an age already attained by E, hence E is older than B.

Step 2 (Other relations don’t put anyone above E):
From B’s reply we only learn comparisons like \(A>E?\) is not implied; it only says \(A\) may be older than \(F\), \(B>G\), and \(F>D\). None of these surpasses E.
Conclusion: The only person forced to be on top is \boxed{E. Quick Tip: Whenever a statement says “\(X\) will be as old as \(Y\) was…”, it forces \(Y\) to be older than \(X\) \emph{now}.

Step 1 (Use B’s second sentence): “\(D\) will be as old as \(F\) was when \(F\) will be as old as \(G\) is.”
Read right to left: \(F\) will \emph{reach \(G\)’s \emph{present age in the future \(\Rightarrow F\) is younger than \(G\). At that future moment, the age that \(F\) \emph{had earlier is the age that \(D\) will reach even later \(\Rightarrow D\) is younger than \(F\) as well.
Thus we get \(\boxed{G>F>D}\). Nothing places anyone below \(D\). Hence \(\boxed{D}\) is the youngest. Quick Tip: In chained “will be / was” statements, move from the innermost future to the outside: it yields a strict younger-than ladder.

Step 1 (Use the two direct comparisons):
From A’s first sentence, “You (B) are as old as C \emph{was when I (A) was twice as old as D.” That places B equal to a \emph{past age of C while A corresponded to twice \(D\)’s age then; this fixes only differences, not order.
From B’s reply, “G is as old as I \emph{was when you \emph{were as old as G \emph{is.” Since A must be older than G at present, G equals a \emph{past age of B \(\Rightarrow B>G\).

Step 2 (Why A and B line up together):
The only pair linked by \emph{two symmetric time references is \(A\) and \(B\) (each statement pegs one to the other’s past age). This pins their current ages to be equal while remaining consistent with all other inequalities (with \(E\) older, and \(G>F>D\)).
Hence the pair most naturally forced to equality is \boxed{A \text{ and B. Quick Tip: When two people’s ages are each referenced at the other’s past age, equality “now” is the consistent resolution—typical twin cue.

Step 1 (Collect the order we established):
From above: \(E\) is the oldest; \(A\) and \(B\) are twins; \(B>G>F>D\) and \(E>C\). One consistent ordering is \[ \boxed{E \;>\; A=B \;>\; G \;>\; F \;>\; C \;>\; D}. \]
Step 2 (Check each statement):
(a) \(G\) has four elders ( \(E,A,B\) plus possibly one of \(\{F,C\}\) above \(G\) )—true in such a ranking.
(b) \(A\) older than \(G\) but younger than \(E\)—true.
(d) A pair of twins exists—true (\(A,B\)).
(c) For \(B\): elders are only \(E\) (since \(A\) is the same age, not elder). So “three elder brothers” is false.
Hence \boxed{(c) is the false statement. Quick Tip: After deducing a consistent total order, test each option directly on that order; equality (twins) never counts as “elder”.

Step 1: Primary sales: 1975 \(=42137\), 1980 \(=68718\).

Step 2: Growth rate \[ \frac{68718-42137}{42137}\times 100 \approx \frac{26581}{42137}\times 100 \approx \boxed{63%}. \]


\begin{quicktipbox
Growth rate \(%=\dfrac{final-initial}{initial}\times 100\).
\end{quicktipbox Quick Tip: Growth rate \(%=\dfrac{final-initial}{initial}\times 100\).

Compute growth (1975\(\to\)1980):

Primary: \(\frac{68718-42137}{42137}\approx 63%\);

Secondary: \(\frac{20177-8820}{8820}\approx 129%\);

Higher secondary: \(\frac{82175-65303}{65303}\approx 26%\);

Graduate: \(\frac{36697-25343}{25343}\approx 45%\).

Smallest is \boxed{\text{Higher secondary.


\begin{quicktipbox
When several percentages are needed, rough mental division is enough to rank them.
\end{quicktipbox Quick Tip: When several percentages are needed, rough mental division is enough to rank them.

From the calculations in Q176, the largest growth is for Secondary (\(\approx 129%\)). Hence \boxed{\text{Secondary.


\begin{quicktipbox
Reuse earlier computations to answer follow-ups quickly.
\end{quicktipbox Quick Tip: Reuse earlier computations to answer follow-ups quickly.

Check year-by-year trends:
Primary and Secondary rise \(\to\) dip (1978) \(\to\) rise;
Higher secondary rise \(\to\) small dip (1978) \(\to\) rise;
Graduate increases every year (25343 \(\to\) 27930 \(\to\) 28687 \(\to\) 30057 \(\to\) 33682 \(\to\) 36697).
Thus only \boxed{\text{Graduate Level shows consistent growth.


\begin{quicktipbox
Scan each row for any down-step; the one with all up-steps (or all down-steps) is the consistent series.
\end{quicktipbox Quick Tip: Scan each row for any down-step; the one with all up-steps (or all down-steps) is the consistent series.

From the bar chart (values in hundreds):
Private \(=180\), Govt.\ \(=120\), Regional \(=80\), IITs \(=40\).
Total \(=(180+120+80+40)\times 100=420\times 100=\boxed{42000}\).


\begin{quicktipbox
When axes are in “hundreds,” add the bar heights first, then multiply by \(100\) at the end.
\end{quicktipbox Quick Tip: When axes are in “hundreds,” add the bar heights first, then multiply by \(100\) at the end.

Govt.: \(80 \rightarrow 120\) (increase \(=40\) on base \(80\)) \(\Rightarrow 50%\).
Private: \(120 \rightarrow 180\) (increase \(=60\) on base \(120\)) \(\Rightarrow 50%\).
Hence growth rates are \boxed{equal.


\begin{quicktipbox
Compute “% increase” as \(\dfrac{\text{new-old}{old}\times 100\) for each series and compare.
\end{quicktipbox Quick Tip: Compute “% increase” as \(\dfrac{new-old}{old}\times 100\) for each series and compare.

For 1990–91 the bars read (in hundreds): Private \(=250\), Govt.\ \(=130\), Regional \(=100\), IITs \(=80\).
Total \(= (250+130+100+80)\times 100 = 56000\).
A \(10%\) reduction \(\Rightarrow 0.9\times 56000 = 50400\), which is not among the options.
Thus, \boxed{\text{none of these.


\begin{quicktipbox
Sum the previous year first; apply the percentage change once to the total.
\end{quicktipbox Quick Tip: Sum the previous year first; apply the percentage change once to the total.

IITs \(=80\) (hundreds), total (from Q181) \(=560\) (hundreds). \[ % at IITs=\frac{80}{560}\times 100=\boxed{14%}. \]


\begin{quicktipbox
Percent share \(=\dfrac{category}{total}\times 100\); the common unit (“hundreds”) cancels out.
\end{quicktipbox Quick Tip: Percent share \(=\dfrac{category}{total}\times 100\); the common unit (“hundreds”) cancels out.

Rules: 2 Bingoos + 1 Cingo + 2 Dingoes.

(a) Valid structure: Bingoos (Grumbs, Harrumphs), Cingo (Ihavittoo), needs 2 Dingoes – possible.

(b) Bingoos chosen: Harrumphs + Ihavittoo \(\Rightarrow\) invalid because Ihavittoo is not a Bingo, it is a Cingo.

(c) Bingoos (Grumbs + Ihavittoo, but wait: Ihavittoo is a Cingo). However, sentence also lists Lovitoo and Nana as Dingoes, so if corrected classification applied, it can be consistent.

(d) Metoo + Nana as Dingoes \(\Rightarrow\) valid selection of 2 Dingoes.

Thus, impossible case is \boxed{(b).


\begin{quicktipbox
Always classify words strictly into Bingoos, Cingoes, and Dingoes before checking sentence rules.
\end{quicktipbox Quick Tip: Always classify words strictly into Bingoos, Cingoes, and Dingoes before checking sentence rules.

Sentence must be 2 Bingoos (Grumbs, Harrumphs), 1 Cingo, 2 Dingoes.

I. True: the only remaining Cingo available is Ihavittoo.

II. Not necessarily true: Lovitoo is a Dingo, but the Dingoes could be other options (Metoo, Nana).

III. True: at least one among Lovitoo and Metoo must appear, because Kooldoo is only allowed if Lovitoo is present, but two Dingoes must be filled from limited options.

Thus, correct = \boxed{I \& III.


\begin{quicktipbox
Fix two categories first (here, Bingoos), then deduce forced assignments for the remaining slots.
\end{quicktipbox Quick Tip: Fix two categories first (here, Bingoos), then deduce forced assignments for the remaining slots.

Check each:

(a) Grumbs, Harrumphs (2 Bingoos), Ihavittoo (Cingo), Lovitoo, Metoo (2 Dingoes) \(\Rightarrow\) valid.

(b) Grumbs, Harrumphs (2 Bingoos), Ihavittoo (Cingo), Jingongo (Cingo), Lovitoo (Dingo) \(\Rightarrow\) 2 Cingoes – invalid.

(c) Harrumphs (Bingo), Ihavittoo (Cingo), Jingongo (Cingo), Lovitoo + Metoo (2 Dingoes) \(\Rightarrow\) only 1 Bingo – invalid.

(d) Grumbs (Bingo), Ihavittoo (Cingo), Kooldoo (Cingo), Metoo + Nana (Dingoes) \(\Rightarrow\) 2 Cingoes – invalid.

Only \boxed{(a) is valid.


\begin{quicktipbox
Validate by counting: exactly 2 Bingoos, 1 Cingo, 2 Dingoes; no extra allowed.
\end{quicktipbox Quick Tip: Validate by counting: exactly 2 Bingoos, 1 Cingo, 2 Dingoes; no extra allowed.

Grumbs is Bingo. Sentence requires 2 Bingoos, so the other must be Harrumphs (since only Grumbs, Harrumphs are Bingoos). Ihavittoo is a Cingo, not a Bingo, so it cannot be forced as Bingo.

Thus, option (b) is impossible. Others are possible: (a) valid, (c) valid, (d) impossible but is not mandated – only (b) is directly contradictory.

Correct answer: \boxed{(b).


\begin{quicktipbox
Remember: each word has a fixed type; it cannot shift category (a Cingo can never become a Bingo).
\end{quicktipbox Quick Tip: Remember: each word has a fixed type; it cannot shift category (a Cingo can never become a Bingo).

Given pattern (weeks 1–4): daily work/rest = \(5/2\) hours in odd weeks, and the opposite \(2/5\) in even weeks.
“When he works longer than he rests” \(\Rightarrow\) wage \(= \) twice the “work-less-than-rest” wage.
Since week 1 (work \(>\) rest) pays Rs.\(20\)/h, the low rate is Rs.\(10\)/h.

Week-wise pay (6 working days per week): \[ \begin{aligned} Wk1: &6\times5\times 20=600, \quad Wk2: 6\times2\times 10=120,
Wk3: &600,\quad Wk4: 120. \end{aligned} \]
Total for the month \(=600+120+600+120=\boxed{1440}\).


\begin{quicktipbox
If two weekly patterns are exact opposites and rates are in a fixed ratio, compute one “high” and one “low” week once, then repeat.
\end{quicktipbox Quick Tip: If two weekly patterns are exact opposites and rates are in a fixed ratio, compute one “high” and one “low” week once, then repeat.

Across months the “base” (odd-week) daily hours change as shown for weeks \(1,5,9,13\):
Month 1 base \(5/2\) \(\Rightarrow\) total \(=1440\) (from Q.187).
Month 2 base \(7/3\): per odd week \(6\!\times\!7\!\times\!20=840\); per even week \(6\!\times\!3\!\times\!10=180\). \(\Rightarrow\) month 2 total \(=840+180+840+180=2040\).
Month 3 base \(6/4\): month 3 total \(=720+240+720+240=1920\).
Month 4 base \(4/8\): month 4 total \(=480+480+480+480=1920\).

Average over the four months \[ \frac{1440+2040+1920+1920}{4}=\boxed{1830}. \]


\begin{quicktipbox
For each month with odd-week daily work \(w\) and even-week daily work \(r\), the total is \(2(6\cdot20\,w+6\cdot10\,r)=240w+120r\).
\end{quicktipbox Quick Tip: For each month with odd-week daily work \(w\) and even-week daily work \(r\), the total is \(2(6\cdot20\,w+6\cdot10\,r)=240w+120r\).

In month 3 (weeks 9–12) the daily (odd/even) hours are \(w/r=6/4\) and \(4/6\).

Old scheme (from Q.187): monthly total \(=240w+120r=240\!\times\!6+120\!\times\!4=1920\).

New scheme: per day net \(=25(work)-5(rest)\).
Across the month the total work hours \(=6(6+4+6+4)=120\), total rest hours \(=6(4+6+4+6)=120\).
Hence new monthly total \(=25\!\times\!120-5\!\times\!120=3000-600=2400\).

Change \(=2400-1920=\boxed{120}\).


\begin{quicktipbox
When a symmetric month has equal total work and rest hours, the “pay–deduct” scheme reduces to \((25-5)\times\) total work; compare with the old total.
\end{quicktipbox Quick Tip: When a symmetric month has equal total work and rest hours, the “pay–deduct” scheme reduces to \((25-5)\times\) total work; compare with the old total.

First two months (weeks 1–8) under old scheme: \(1440+2040=3480\).
Third month (weeks 9–12) under new scheme from Q.\,189: \(2400\).
Fourth month (weeks 13–16) continues new scheme with base \(4/8\) and \(8/4\): total work hours \(=6(4+8+4+8)=144\), total rest hours \(=144\).
Earning \(=25\times144-5\times144=3600-720=2880\).

Grand total \(=3480+2400+2880=\boxed{9600}\).


\begin{quicktipbox
Sum month-wise; once the new scheme begins, compute \((25\timeswork - 5\timesrest)\) over the whole month.
\end{quicktipbox Quick Tip: Sum month-wise; once the new scheme begins, compute \((25\timeswork - 5\timesrest)\) over the whole month.