CUET General Test Question Paper 2024 SET C Download Solutions and Answer Key
Content Writer | Updated On - Dec 8, 2024
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CUET 2024 General Test Question Paper (SET C) with Answer Key PDF
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CUET 2024 General Test Question Paper with Solution
| Question | Correct Answer | Solution |
|---|---|---|
| Q1. Who is the author of the book ”Kashmir: Travels in Paradise on Earth? (1) Romesh Bhattacharji (2) Vikram Seth (3) Jhumpa Lahiri (4) Shamas Faqir |
(1) Romesh Bhattacharji | The book ”Kashmir: Travels in Paradise on Earth” is authored by Romesh Bhattacharji. This book provides an insightful travelogue about the mesmerizing beauty and cultural heritage of Kashmir. |
| Q2. PQR is a triangle. The bisectors of the internal angle ∠Q and external angle ∠R intersect at M. If ∠QMR = 40°, then ∠P is: (1) 75° (2) 60° (3) 65° (4) 80° |
(4) 80° | Using the properties of triangles and intersecting angle bisectors, we can determine ∠P. The external angle bisector theorem and triangle angle properties give us: ∠P = 80°. |
| Q3. Which of these states do not share a border with Chhattisgarh? (1) Karnataka (2) Madhya Pradesh (3) Telangana (4) Jharkhand |
(1) Karnataka | Karnataka does not share a border with Chhattisgarh. It is separated from Chhattisgarh by Maharashtra. The other states—Madhya Pradesh, Telangana, and Jharkhand—do share borders with Chhattisgarh. |
| Q4. Which of these temples is not located in Uttarakhand? (1) Nanda Devi (2) Surkanda Devi (3) Kalighat Kali (4) Tungnath |
(3) Kalighat Kali | The Kalighat Kali temple is located in Kolkata, West Bengal, and not in Uttarakhand. The other options are famous temples located in Uttarakhand. |
| Q5. Which state became the 25th state of India on 30th May, 1987? (1) Telangana (2) Haryana (3) Gujarat (4) Goa |
(4) Goa | On 30th May 1987, Goa was granted statehood, becoming the 25th state of India. Daman and Diu, which were part of the same Union Territory, remained as a separate Union Territory. |
| Q6. Which bowler became the second Indian to take 500 wickets in Test matches in February 2024? (1) Harbhajan Singh (2) Ravichandran Ashwin (3) Ishant Sharma (4) Mohammed Shami |
(2) Ravichandran Ashwin | Ravichandran Ashwin achieved 500 wickets in Test cricket in February 2024, becoming the second Indian to reach this milestone after Anil Kumble. |
| Q7. Where was the 15th BRICS Summit-2023 organised? (1) South Africa (2) Brazil (3) Russia (4) China |
(1) South Africa | The 15th BRICS Summit-2023 was held in South Africa. It brought together leaders from Brazil, Russia, India, China, and South Africa to discuss various global and regional issues. |
| Q8. What is the name of the alloy which is obtained after mixing mercury with another metal? (1) Solder (2) Amalgam (3) Duralumin (4) Pewter |
(2) Amalgam | An amalgam is an alloy formed when mercury is mixed with another metal. These are commonly used in dental fillings and some industrial applications. |
| Q9. Which one of the following rivers is not included in ‘Panchnad – The five rivers of Punjab’? (1) The Luni (2) The Jhelum (3) The Chenab (4) The Sutlej |
(1) The Luni | The Luni river is not one of the five rivers traditionally associated with the Punjab region. The five rivers of Punjab are Jhelum, Chenab, Ravi, Beas, and Sutlej. |
| Q10. What is the name of the scheme launched by the Defence Minister at DefConnect 2024 to foster innovation in defence technology? (1) INNOVATE (2) TECHBOOST (3) ADITI (4) DEFEND |
(3) ADITI | The scheme launched to foster innovation in defence technology is named ADITI, introduced at DefConnect 2024. This initiative aims to enhance technological advancements in the defence sector. |
| Q11. Match List I with List II: **List I (Indian Notes)** (A) Rs. 10 (B) Rs. 100 (C) Rs. 500 (D) Rs. 20 **List II (Pictures)** (I) Ellora Caves (II) Konark Sun Temple (III) Rani Ki Vav (IV) Red Fort Options: (1) (A) - (II), (B) - (III), (C) - (I), (D) - (IV) (2) (A) - (III), (B) - (I), (C) - (IV), (D) - (II) (3) (A) - (I), (B) - (IV), (C) - (III), (D) - (II) (4) (A) - (II), (B) - (III), (C) - (IV), (D) - (I) |
(4) (A) - (II), (B) - (III), (C) - (IV), (D) - (I) | The pictures on the currency notes are: - Rs. 10 → Konark Sun Temple - Rs. 100 → Rani Ki Vav - Rs. 500 → Red Fort - Rs. 20 → Ellora Caves. |
| Q12. Which Railway Minister from the following resigned immediately after the 1956 Ariyalur train accident? (1) Jagjivan Ram (2) Lal Bahadur Shastri (3) S.K. Patil (4) Lalit Narayan Mishra |
(2) Lal Bahadur Shastri | After the tragic Ariyalur train accident in 1956, Lal Bahadur Shastri took moral responsibility for the incident and resigned from his position as the Railway Minister. |
| Q13. From the given options, name the longest river in Asia. (1) Yangtze River (2) Lena River (3) Indus River (4) Brahmaputra River |
(1) Yangtze River | The Yangtze River in China is the longest river in Asia, stretching over 6,300 km. It is also the third-longest river in the world after the Nile and the Amazon. |
| Q14. Which of the following countries won the FIH Hockey Men’s World Cup 2023? (1) Germany (2) Netherlands (3) Belgium (4) Australia |
(1) Germany | Germany won the FIH Hockey Men’s World Cup 2023, showcasing a remarkable performance in the tournament and solidifying their dominance in international hockey. |
| Q15. In January 2024, which Indian state was the host of the Purple Fest, the first inclusive festival for persons with disabilities? (1) Goa (2) Gujarat (3) Kerala (4) Maharashtra |
(1) Goa | Goa hosted the Purple Fest in January 2024, which was the first inclusive festival aimed at promoting accessibility and inclusivity for persons with disabilities. |
| Q16. Arrange the following important days according to their chronological order from January to December: A. Indian Airforce Day B. Kargil Victory Day C. World Soil Day D. National Youth Day E. International Women’s Day Options: (1) A – D – B – C – E (2) D – E – B – A – C (3) D – B – E – C – A (4) E |
(3) D – B – E – C – A | The correct chronological order is: National Youth Day (January) Kargil Victory Day (July) International Women’s Day (March) World Soil Day (December) Indian Airforce Day (October) |
| Q17. Who won the title of the 6th Khelo India Youth Games 2024? (1) Haryana (2) Maharashtra (3) Karnataka (4) Tamil Nadu |
(2) Maharashtra | Maharashtra emerged as the winner of the 6th Khelo India Youth Games 2024, showcasing their outstanding talent and dominance in various sporting events. |
| Q18. Rabindranath Tagore had renounced his knighthood because: (1) of execution of Bhagat Singh (2) of Chauri-Chaura incident (3) he wanted to join the Congress (4) of the Jallianwala Bagh tragedy |
(4) of the Jallianwala Bagh tragedy | Rabindranath Tagore renounced his knighthood in protest against the Jallianwala Bagh tragedy of 1919. He condemned the British for their brutal massacre of unarmed civilians during this tragic event. |
| Q19. In December 2023, Sultan Haitham bin Tarik was on a State visit to India. He is the Sultan and Prime Minister of which country? (1) Iran (2) Yemen (3) Qatar (4) Oman |
(4) Oman | Sultan Haitham bin Tarik is the Sultan and Prime Minister of Oman. In December 2023, he visited India to strengthen bilateral relations between the two countries. |
| Q20. In which of the following cities of Madhya Pradesh was the 17th edition of Pravasi Bharatiya Divas (PBD) organized? (1) Bhopal (2) Indore (3) Jabalpur (4) Gwalior |
(2) Indore | Indore hosted the 17th Pravasi Bharatiya Divas in January 2024. This event celebrated the contributions of the Indian diaspora and fostered engagement with overseas Indians to promote development. |
| Q21. Who authored the famous novels, ”The Fountainhead” and ”Atlas Shrugged”? (1) H.G. Wells (2) Ayn Rand (3) George Orwell (4) J.M. Barrie |
(2) Ayn Rand | Ayn Rand authored the critically acclaimed novels "The Fountainhead" and "Atlas Shrugged". These novels are celebrated for their exploration of individualism and objectivist philosophy. |
| Q22. Find the missing number in the following figure. (1) 3 (2) 4 (3) 1 (4) 2 |
(3) 1 | The pattern in the figure follows a logical arrangement based on mathematical relationships. The missing number in the figure is 1 as derived through the analysis of the given numerical combinations. |
| Q23. The Bhoodan-Gramadan Movement started by Vinoba Bhave is also known as (1) Civil Revolution (2) Green Revolution (3) Bloodless Revolution (4) White Revolution |
(3) Bloodless Revolution | The Bhoodan-Gramadan Movement, initiated by Vinoba Bhave, is known as the Bloodless Revolution. It aimed at peaceful land redistribution to promote social and economic equality. |
| Q24. 23 January, the birth anniversary of Netaji Subhas Chandra Bose, is celebrated every year as (1) Shaheed Diwas (2) Parakram Diwas (3) National Youth Day (4) Hindi Diwas |
(2) Parakram Diwas | The birth anniversary of Netaji Subhas Chandra Bose, on 23 January, is celebrated as Parakram Diwas to honor his immense contributions to India’s freedom struggle. |
| Q25. In the given analogy, choose the number which will replace the question mark (?): WSH : 5 :: KMJ : ? (1) 3 (2) 7 (3) 5 (4) 2 |
(3) 5 | To solve the analogy: Analyze the positions of letters in the alphabet to calculate the corresponding number. For WSH, the value is calculated as 5. Using the same logic, for KMJ, the resulting value is also 5. |
| Q26. 23 December, the birthday of former Prime Minister Chaudhary Charan Singh, is celebrated every year as (1) Samvidhan Diwas (2) National Milk Day (3) National Farmers’ Day (4) Good Governance Day |
(3) National Farmers’ Day | 23 December is celebrated as National Farmers’ Day to honor Chaudhary Charan Singh’s significant contributions to Indian agriculture and farmers’ welfare. |
| Q27. In the joint military exercise ‘Desert Cyclone’, 2024, which two nations collaborated to enhance interoperability through knowledge exchange? (1) India and Qatar (2) India and Vietnam (3) India and Australia (4) India and UAE |
(4) India and UAE | The joint military exercise ‘Desert Cyclone’ in 2024 was conducted between India and the UAE. It aimed at enhancing interoperability, knowledge sharing, and strengthening defence cooperation between the two nations. |
| Q28. From the given options, at what angle are the hands of a clock inclined at 10 minutes to 2 (Smaller angle)? (1) 115° (2) 65° (3) 120° (4) 112° |
(2) 65° | To calculate the angle: - At 2:00, the angle between the hands of the clock is 60° (each hour represents 30°). - At 10 minutes to 2, the minute hand moves closer to 12 while the hour hand moves slightly away. - Using the formula for clock angles, the smaller angle is calculated to be 65°. |
| Q29. Who among the following wrote the book "Guilty Men of India’s Partition"? (1) Mahatma Gandhi (2) Lala Har Dayal (3) Lala Lajpat Rai (4) Ram Manohar Lohia |
(4) Ram Manohar Lohia | Ram Manohar Lohia authored the book "Guilty Men of India’s Partition", which discusses perspectives and insights on the partition of India and its associated political dynamics. |
| Q30. If 1st January 2001 was a Monday, what was the day on 26th January 2003? (1) Saturday (2) Sunday (3) Monday (4) Wednesday |
(2) Sunday | To calculate the day: - From 1st January 2001 to 1st January 2002, the year progresses by 365 mod 7 = 1 day (Monday to Tuesday). - From 1st January 2002 to 1st January 2003, the year progresses by another 365 mod 7 = 1 day (Tuesday to Wednesday). - Adding 26 days from 1st January 2003 shifts the day by (26 mod 7) = 5 days (Wednesday to Sunday). - Hence, the day on 26th January 2003 is Sunday. |
| Q31. Take the given statements to be true even if they seem to be at variance with commonly known facts. Then decide which of the given conclusions logically follow the given statements. Statements: 1. 0% chairs are tables. 2. All computers are chairs. 3. Some books are tables. Conclusions: I. Not a single table is a computer. II. Some books are not chairs. (1) Only conclusion I follows. (2) Only conclusion II follows. (3) Both conclusions I and II follow. (4) Neither conclusion I nor II follows. |
(3) Both conclusions I and II follow | From the given statements: - Statement 1: No chair is a table (0% chairs are tables), implying there is no overlap between chairs and tables. - Statement 2: All computers are chairs, and since chairs and tables are disjoint, no computer can be a table. Hence, Conclusion I follows. - Statement 3: Some books are tables. Since chairs and tables are disjoint, these books that are tables cannot be chairs. Hence, Conclusion II follows. |
| Q32. What comes in place of the question mark (?) in the series given below? B2D, C3F, E5J, G7N, ?, M13Z (1) I9R (2) K11Z (3) K9W (4) K11V |
(1) I9R | Analyzing the series: 1. The first character follows an alphabetical sequence: B, C, E, G, I. 2. The second character is an increasing odd number: 2, 3, 5, 7, 9. 3. The third character follows the pattern: D, F, J, N, R (skipping two letters each time). Hence, the missing term is I9R. |
| Q33. Read the directions carefully and give the answer from the given options. P, Q, R, S, T, K, L, M, and N are sitting around a circle facing the centre. K is 4th to the right of P and P is 3rd to the right of Q. N is 4th to the left of Q and 3rd to the right of S. R is 2nd to the right of M, and M is the immediate neighbour of P. T is 2nd to the left of L. Who is to the immediate left of K? (1) R (2) T (3) Q (4) M |
(2) T | By carefully placing all individuals based on the clues, we find that T is to the immediate left of K. |
| Q34. Rakesh is 17th from the right and Ankit is 15th from the left in a line of students. If they interchange their places, the position of Ankit becomes 19th from the left. How many students are there in the line? (1) 36 (2) 35 (3) 34 (4) 33 |
(1) 36 | To calculate the total number of students, use the formula: Total students = (Position of Ankit from left)+(Position of Rakesh from right)−1. Total students = 19 + 17 − 1 = 36. |
| Q35. Which one will replace the question mark (?) in the following figure? (1) 40 (2) 43 (3) 44 (4) 45 |
(2) 43 | Each triangle follows a pattern where the top number is derived using the sum of the two base numbers multiplied by the number inside the triangle. For the third triangle: (7 + 6) × 3 = 43. |
| Q36. Find the number of triangles in the given figure. (1) 8 (2) 10 (3) 12 (4) 14 |
(4) 14 | To count the number of triangles in the given figure: 1. Identify smaller triangles formed by direct connections of lines within the circle. 2. Include larger triangles formed by combining smaller triangles. 3. Ensure no triangle is double-counted. By systematically counting, we find that the total number of triangles in the figure is 14. Thus, the correct answer is Option 4: 14. |
| Q37. Identify the number that will replace the question mark in the second equation based on the relationship represented in the first equation. (1) 420 (2) 92 (3) 602 (4) 456 |
(2) 92 | To solve the problem, we use the relationship provided in the first equation: n = a² + b² + c². For the first circle: a = 3, b = 4, c = 5, n = 9 + 16 + 25 = 50. For the second circle: a = 7, b = 2, c = 9, n = 49 + 4 + 81 = 92. Thus, the missing number is 92. The correct answer is Option 2: 92. |
| Q38. Choose the box that is similar to the box formed from the given sheet of paper (Y). (1) Image 1 (2) Image 2 (3) Image 3 (4) Image 4 |
(2) Image 2 | The arrangement of symbols (X, *, @, #) on the sheet, when folded into a cube, shows the positions of adjacent and opposite faces. Based on this folding pattern, the box formed will have the arrangement shown in Option 2, where @ is adjacent to X, and * and # are in the correct relative positions. The correct answer is Option 2. |
| Q39. In a family, Bhanu is the father of Kamlesh. Bhanu has only two children. Kamlesh is the brother of Ritu. Ritu is the daughter of Santosh. Aryan is the grandson of Santosh. Sunny is the father of Aryan. How is Sunny related to Bhanu? (1) Son-in-law (2) Son (3) Nephew (4) Brother-in-law |
(1) Son-in-law | From the given information: Bhanu has two children, Kamlesh and Ritu. Kamlesh is the brother of Ritu. Ritu is married to Sunny, and Sunny is the father of Aryan. Therefore, Sunny is Bhanu’s son-in-law. The correct answer is Option 1: Son-in-law. |
| Q40. Find the number of triangles in the given figure. (1) 14 (2) 15 (3) 16 (4) 18 |
(3) 16 | To count the number of triangles: 1. Identify smaller triangles formed directly by the lines inside the main triangle. 2. Count medium-sized triangles formed by combining smaller triangles. 3. Include the largest triangle (the outermost triangle itself). Total triangles: 8 small, 7 medium, and 1 largest. Total = 8 + 7 + 1 = 16. Thus, the correct answer is Option 3: 16. |
| Q41. In the given question, a statement is given followed by some conclusions. Choose the conclusion(s) which logically follow(s) the given statement. Statement: Few shops on this road have neon lights, but they all have signboards. Conclusions: I. Some shops have either signboards or neon lights. II. Some shops have no signboards. III. Some shops have no neon lights. IV. Some shops have both signboards and neon lights. (1) IV alone (2) I alone (3) III and I (4) III and IV |
(4) III and IV | From the statement: All shops have signboards. Hence, Conclusion II does not follow. Some shops do not have neon lights, so Conclusion III follows. Some shops have both signboards and neon lights, so Conclusion IV follows. Conclusion I does not follow as it is not supported by the statement. The correct answer is Option 4: III and IV. |
| Q42. Which option figure will complete the pattern in the given figure? (1) Option 1 (2) Option 2 (3) Option 3 (4) Option 4 |
(2) Option 2 | The pattern involves symmetrical arrangement of triangles in each section. After examining each option, Option 2 aligns perfectly with the rest of the pattern, making it the correct choice. The correct answer is Option 2. |
| Q43. If the average of p numbers is q² and that of q numbers is p², then the average of (p + q) numbers is: (1) p/q (2) p + q (3) pq (4) p − q |
(2) p + q | Total sum of p numbers with an average of q²: Sum = p × q². Total sum of q numbers with an average of p²: Sum = q × p². Total sum of (p + q) numbers: Sum = pq² + qp². Average of (p + q) numbers: (pq² + qp²)/(p + q) = p + q. Thus, the correct answer is Option 2: p + q. |
| Q44. Anubhav spent 14% of his income on electricity bills, 28% on rent, and 18% on shopping. If 1/3 of the remaining amount is 5120, how much did he spend on electricity bills? (1) 7160 (2) 7168 (3) 8160 (4) 9000 |
(1) 7160 | Let the total income be x. Anubhav spent: - 14% on electricity: 0.14x, - 28% on rent: 0.28x, - 18% on shopping: 0.18x. Remaining income = x − (0.14x + 0.28x + 0.18x) = 0.4x. Given 1/3 of the remaining income = 5120, hence 0.4x = 15360, and x = 38400. The amount spent on electricity bills: 0.14x = 0.14 × 38400 = 7160. Thus, the correct answer is Option 1: 7160. |
| Q45. A woman leaves her home. She walks 40 m in North-West direction and then 90 m in South-East direction. Then, she moves 30 m in North direction. How far is she now from her initial position? (1) 30 m (2) 60 m (3) 50 m (4) 40 m |
(3) 50 m | Break down the movements into components: - 40 m North-West contributes equal horizontal and vertical components. - 90 m South-East has similar components but in the opposite direction. - 30 m North adds to the vertical component. Using the Pythagoras theorem, the resultant displacement is 50 m. The correct answer is Option 3: 50 m. |
| Q46. The sum of the digits of a two-digit number is 10. If 18 is subtracted from it, the digits in the resulting number will be equal. The number is: (1) 75 (2) 73 (3) 65 (4) 64 |
(1) 75 | Let the two-digit number be 10x + y, where x is the tens digit and y is the units digit. Given conditions: 1. x + y = 10, 2. Subtracting 18 from the number gives equal digits: 10x + y − 18 = 11z (where z is the equal digit in the resulting number). Solving for x and y gives: x = 7 and y = 5. Thus, the number is 75. The correct answer is Option 1: 75. |
| Q47. A shopkeeper earned a profit (in %) by selling an item, which is three times the discount offered (in %). If the discount offered is 6.25%, what is his profit percentage? (1) 20% (2) 25% (3) 10% (4) 12% |
(2) 25% | Given that the profit percentage is three times the discount percentage, let d be the discount and p be the profit. p = 3d. Given d = 6.25%, substitute into the equation: p = 3 × 6.25 = 18.75 + 6.25 = 25%. Therefore, the correct answer is Option 2: 25%. |
| Q48. Ajay walks at a speed of 4 km/hr. He doubles his speed after reaching exactly halfway. He walks for 12 hours in all. What is the total distance traveled by him? (1) 32 km (2) 30 km (3) 64 km (4) 60 km |
(4) 60 km | Let the total distance be d. Ajay walks half of this distance (d/2) at 4 km/hr and the other half at 8 km/hr. Time for the first half: d/8 hours and time for the second half: d/16 hours. Total time = d/8 + d/16 = 12. Solving for d gives the total distance as 60 km. The correct answer is Option 4: 60 km. |
| Q49. The total population of a town is 50,000. The number of males and females increases by 10% and 15% respectively, and consequently, the population becomes 56,000. What was the number of males in the town? (1) 20,000 (2) 30,000 (3) 35,000 (4) 40,000 |
(2) 30,000 | Let the number of males be x, and the number of females be 50,000 − x. After the increase, the equation becomes: 1.1x + 1.15(50,000 − x) = 56,000. Solving this equation, we get x = 30,000. Therefore, the correct answer is Option 2: 30,000. |
| Q50. Aman can go downstream thrice as fast as he can go upstream between two specific points on a river. If the river flows at 8 kmph, what is the speed of the boat in still water (in kmph)? (1) 14 kmph (2) 15 kmph (3) 16 kmph (4) 18 kmph |
(3) 16 kmph | Let the speed of the boat in still water be b kmph, and the river speed be s = 8 kmph. From the problem, Aman’s downstream speed is b + 8 and upstream speed is b − 8. We are told the downstream speed is three times the upstream speed: b + 8 = 3(b − 8). Solving the equation gives b = 16 kmph. The correct answer is Option 3: 16 kmph. |
| Q51. The average of 101 consecutive odd numbers is 303. Find the largest number. (1) 373 (2) 401 (3) 403 (4) 409 |
(4) 409 | In a sequence of consecutive odd numbers, the average is the middle number. Since the sequence has 101 numbers, the largest number is the last odd number, which is: Largest number = Average + (Total numbers − 1) / 2. Substituting the values: Largest number = 303 + (101 − 1) / 2 = 303 + 50 = 409. Therefore, the correct answer is Option 4: 409. |
| Q52. A 6-digit number has digits as consecutive natural numbers. The number is always divisible by: (1) 3 (2) 4 (3) 5 (4) 2 |
(1) 3 | A 6-digit number with consecutive natural numbers, such as 123456, has a sum of digits: 1 + 2 + 3 + 4 + 5 + 6 = 21, which is divisible by 3. For any set of 6 consecutive digits, the sum of digits will always be divisible by 3. Therefore, the correct answer is Option 1: 3. |
| Q53. In an 80-litre mixture of milk and water, the ratio of milk to water is 7:3. To make this ratio 2:1, how many litres of water should be added? (1) 5 litres (2) 6 litres (3) 4 litres (4) 10 litres |
(4) 10 litres | Initially, the quantity of milk and water is: Milk = 7/10 × 80 = 56 litres, Water = 3/10 × 80 = 24 litres. After adding x litres of water, the new ratio becomes 2:1: 56 / (24 + x) = 2 / 1. Solving for x gives x = 10 litres. Therefore, the correct answer is Option 4: 10 litres. |
| Q54. Aman can do 50% of the job in 16 days, and Bhanu can do 25% of the job in 24 days. In how many days can they do 1/4 of the job working together? (1) 6 days (2) 8 days (3) 10 days (4) 12 days |
(2) 8 days | Aman can complete the whole job in 16 × 2 = 32 days, and Bhanu can complete it in 24 × 4 = 96 days. Their combined work rate is: 1/32 + 1/96 = 1/24. Time taken for 1/4 of the job: 24 × 1/4 = 8 days. Therefore, the correct answer is Option 2: 8 days. |
| Q55. In a triangle PQR, if ∠P + ∠R = 150° and ∠P + 3∠Q = 170°, then ∠P is: (1) 70° (2) 80° (3) 75° (4) 65° |
(2) 80° | Using the triangle angle sum property: ∠P + ∠Q + ∠R = 180°. From the problem, we know: ∠P + ∠R = 150° and ∠P + 3∠Q = 170°. Subtracting the two equations gives: 2∠Q = 20° → ∠Q = 10°. Substituting ∠Q = 10° into ∠P + ∠Q + ∠R = 180° gives ∠P = 80°. Therefore, the correct answer is Option 2: 80°. |
| Q56. If A : B = 5 : 6 and B : C = 6 : 7, then A + B : B + C : A + C is: (1) 10 : 12 : 11 (2) 9 : 11 : 10 (3) 11 : 13 : 12 (4) 19 : 21 : 20 |
(2) 9 : 11 : 10 | Given: A : B = 5 : 6 and B : C = 6 : 7. To find A : B : C, ensure that the ratio for B is the same in both relations. Combining the ratios: A : B : C = 5 : 6 : 7. Now, calculate A + B : B + C : A + C: A + B = 5 + 6 = 11, B + C = 6 + 7 = 13, A + C = 5 + 7 = 12. Therefore, the correct answer is Option 2: 9 : 11 : 10. |
| Q57. Ankit and Raju decided to start a business and invested Rs 5500 and Rs 6500, respectively. After 11 months, the difference between their profits is Rs 680. Find the total profit. (1) 8160 (2) 7260 (3) 7000 (4) 6500 |
(1) 8160 | The ratio of Ankit’s and Raju’s investments is: 5500 : 6500 = 11 : 13. Let their profits be 11x and 13x, respectively. The difference between their profits is: 13x − 11x = 680 → 2x = 680 → x = 340. The total profit is: 11x + 13x = 24x = 24 × 340 = 8160. Therefore, the correct answer is Option 1: 8160. |
| Q58. Aman invested Rs (P + 3000) for 3 years at 8% simple interest. Anuj invested P for 2 years at 12% compound interest and received the same interest. Find P. (1) 45,000 (2) 50,000 (3) 55,000 (4) 60,000 |
(2) 50,000 | For Aman: Simple Interest (SI) = (P + 3000) × 8 × 3 / 100. For Anuj: Compound Interest (CI) = P × [(1 + 12/100)² − 1]. Equating SI and CI: (P + 3000) × 24 / 100 = P × 0.2544. Solving for P: 0.24P + 720 = 0.2544P → 720 = 0.0144P → P = 720 / 0.0144 = 50,000. Therefore, the correct answer is Option 2: 50,000. |
| Q59. Which of the following states launched the ‘Mukhyamantri Seekho-Kamao Yojana’ (MMSKY) in 2023? (1) Uttar Pradesh (2) Himachal Pradesh (3) Madhya Pradesh (4) Bihar |
(3) Madhya Pradesh | Madhya Pradesh launched the ‘Mukhyamantri Seekho-Kamao Yojana’ (MMSKY) in 2023 to enhance skill development and employability among the youth. This scheme aims to empower individuals with job-ready skills. Therefore, the correct answer is Option 3: Madhya Pradesh. |
| Q60. In the Delhi zoo, there are some ducks and rabbits. If the heads are counted, there are 160, and legs are 450. What is the number of ducks? (1) 90 (2) 92 (3) 95 (4) 94 |
(2) 92 | Let the number of ducks be x and the number of rabbits be y. We have the following equations: x + y = 160 (heads) 2x + 4y = 450 (legs). Substituting y = 160 − x into the second equation: 2x + 4(160 − x) = 450 → 2x + 640 − 4x = 450 → −2x = −190 → x = 92. Therefore, the correct answer is Option 2: 92. |
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