Let f : [−1, 2] → R be given by f(x) = 2x² + x + ⌊x²⌋ − ⌊x⌋, where ⌊t⌋ denotes the greatest integer less than or equal to t. The number of points where f is not continuous is:

1. 6
2. 3
3. 4
4. 5

The differential equation of the family of circles passing the origin and having the center on the line y = x is:

1. (x² − y² + 2xy)dx = (x² − y² − 2xy)dy
2. (x² + y² + 2xy)dx = (x² + y² − 2xy)dy
3. (x² − y² − 2xy)dx = (x² − y² + 2xy)dy
4. (x² + y² − 2xy)dx = (x² + y² + 2xy)dy

Let S₁ = {z ∈ ℂ : |z| ≤ 5},
S₂ = {z ∈ ℂ : Im((z + 1)/(z − 1)) ≥ 0},
S₃ = {z ∈ ℂ : Re(z) ≥ 0}.
The area common to S₁, S₂, and S₃ is:

1. (125/6)π
2. (125/24)π
3. (125/4)π
4. (125/12)π

The area enclosed between the curves y = x|x| and y = x − |x| is:

1. 8/3
2. 2/3
3. 1
4. 4/3

60 words can be made using all the letters of the word BHBJO, with or without meaning. If these words are written as in a dictionary, then the 50th word is:

1. OBBHJ
2. HBBJO
3. OBBJH
4. JBBOH

Let a = 2î + 5ĵ − k̂, b = 2î − 2ĵ + 2k̂, and c be three vectors such that:
(c + î) × (a + b + î) = a × (c + î) and a · c = −29.
Then c · (−2î + ĵ + k̂) is equal to:

1. 10
2. 5
3. 15
4. 12

Consider three vectors a, b, c. Let |a| = 2, |b| = 3, and a = b × c. If α ∈ (0, π/3) is the angle between the vectors b and c, then the minimum value of 27|c − a|² is equal to:

1. 110
2. 105
3. 124
4. 121

Let A(−1, 1) and B(2, 3) be two points and P be a variable point above the line AB such that the area of ∆PAB is 10. If the locus of P is ax + by = 15, then 5a + 2b is:

1. −12/5
2. −6/5
3. 4
4. 6

Let (α, β, γ) be the point (8, 5, 7) on the line (x−1)/2 = (y+1)/3 = (z−2)/5. Then α + β + γ is equal to:

1. 16
2. 18
3. 14
4. 20

If the constant term in the expansion of √(3/5)x + 2x/√(3)5)^12, x ≠ 0, is αx² × √(3/5), then 25α is equal to:

1. 639
2. 724
3. 693
4. 742

Let f, g : R → R be defined as:
f(x) = |x − 1| and
g(x) = e^x, x ≥ 0 x + 1, x ≤ 0
Then the function f(g(x)) is:

1. neither one-one nor onto
2. one-one but not onto
3. both one-one and onto
4. onto but not one-one

Let the circle C₁: x² + y² − 2(x + y) + 1 = 0 and C₂ be a circle having its centre at (−1, 0) and radius 2. If the line of the common chord of C₁ and C₂ intersects the y-axis at the point P, then the square of the distance of P from the centre of C₁ is:

1. 2
2. 1
3. 6
4. 4

Let the set S = {2, 4, 8, 16, . . . , 512} be partitioned into 3 sets A, B, C with an equal number of elements such that A∪B∪C = S and A∩B = B∩C = A∩C = ∅. The maximum number of such possible partitions of S is equal to:

1. 1680
2. 1520
3. 1710
4. 1640

The values of m, n for which the system of equations
x + y + z = 4,
2x + 5y + 5z = 17,
x + 2y + mz = n
has infinitely many solutions, satisfy the equation:

1. m² + n² − m − n = 46
2. m² + n² + m + n = 64
3. m² + n² + mn = 68
4. m² + n² − mn = 39

The coefficients a, b, c in the quadratic equation ax² + bx + c = 0 are from the set {1, 2, 3, 4, 5, 6}. If the probability of this equation having one real root bigger than the other is p, then 216p equals:

1. 57
2. 38
3. 19
4. 76

Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the line segment AB and the point F is on the diagonal AC. Then the radius r of the circle passing through the point F and touching the line segments BC and CD satisfies:

1. r = 1
2. r² − 8r + 8 = 0
3. 2r² − 4r + 1 = 0
4. 2r² − 8r + 7 = 0

Let β(m, n) = ∫₀¹ x^m−1(1 − x)ⁿ⁻¹ dx, m, n > 0. If
∫₀¹ (1 − x¹⁰)²⁰ dx = a × β(b, c),
then 100(a + b + c) equals:

1. 1021
2. 1120
3. 2012
4. 2120

Let αβ ≠ 0 and A =
[ β α 3 ] [ α α β ] [ −β α 2α ]
If B =
[ 3α −9 3α ] [ −α 7 −2α ] [ −2α 5 −2β ]
is the matrix of cofactors of the elements of A, then det(AB) is equal to:

1. 343
2. 125
3. 64
4. 216

If
y(θ) = (2 cos θ + cos 2θ − 1) / (4 cos³ θ + 8 cos² θ + 5 cos θ + 2),
then at θ = π/2, y'' + y' + y is equal to:

1. 3/2
2. 1
3. 1/2
4. 2

For x ≥ 0, the least value of K for which
4^1+x, 4^1−x, K², 16^x + 16^−x
are three consecutive terms of an arithmetic progression (A.P.) is equal to:

1. 10
2. 4
3. 8
4. 16

Let the mean and the standard deviation of the probability distribution given by:
X: 1, 0, −3
P(X): 1/3, K, 1/6, 1
be µ and σ, respectively. If σ − µ = 2, then σ + µ is equal to:

1. 3
2. 4
3. 5
4. 6

Let y = y(x) be the solution of the differential equation:
(dy/dx) + (2x / (1 + x²)) y = (x * e) / (1 + x²), y(0) = 0.
Then the area enclosed by the curve f(x) = y(x)e^1/(1+x²) and the line y − x = 4 is equal to:

1. 10
2. 12
3. 15
4. 18

The number of solutions of:
sin²x + (2 + 2x − x²) sin x − 3(x − 1)² = 0,
where −π ≤ x ≤ π, is:

1. 1
2. 2
3. 3
4. 4

Let the point (−1, α, β) lie on the line of the shortest distance between the lines:
(x + 2) / −3 = (y − 2) / 4 = (z − 5) / 2
and
(x + 2) / −1 = (y + 6) / 2 = (z − 1) / 0
Then (α − β)² is equal to:

1. 15
2. 20
3. 25
4. 30

If
(1 + √3 − √2 / 2) (√3 + 5 − 2√6 / 18) + (9√3 − 11√2 / 36√3) + (49 − 20√6 / 180) + . . . up to ∞ = 2 q (b / a + 1) log(e)
Then 11a + 18b is equal to:

1. 56
2. 62
3. 70
4. 76

Let a > 0 be a root of the equation 2x² + x − 2 = 0.
If lim_x→1/a (16 (1 − cos(2 + x − 2x²)) / (1 − ax²)) = α + β √17, where α, β ∈ Z, then α + β is equal to:

1. 150
2. 160
3. 170
4. 180

If f(t) = ∫₀^π (2x / (1 − cos²t sin²x)) dx, 0 < t < π, then the value of ∫₀^π/2 π² dt / f(t) is equal to:

1. 1
2. 2
3. 3
4. 4

Let the maximum and minimum values of (√(8x − x²) − 12 − 4)² + (x − 7)², x ∈ R, be M and m, respectively. Then M² − m² is equal to:

1. 1500
2. 1550
3. 1600
4. 1650

Let a line perpendicular to the line 2x − y = 10 touch the parabola y² = 4(x − 9) at the point P. The distance of the point P from the center of the circle x² + y² − 14x − 8y + 56 = 0 is equal to:

1. 8
2. 9
3. 10
4. 11

The number of real solutions of the equation x|x + 5| + 2|x + 7| − 2 = 0 is:

1. 1
2. 2
3. 3
4. 4

Given below are two statements:
Statement I: When white light passes through a prism, red light bends less than yellow and violet.
Statement II: The refractive indices are different for different wavelengths in dispersive media.
In the light of the above statements, choose the correct answer:

1. Both Statement I and Statement II are true
2. Statement I is true but Statement II is false
3. Both Statement I and Statement II are false
4. Statement I is false but Statement II is true

Which of the following statements is NOT true about the stopping potential (V₀)?

1. It depends on the nature of the emitter material
2. It depends upon the frequency of the incident light
3. It increases with the increase in intensity of the incident light
4. It is 1/e times the maximum kinetic energy of the emitted electrons

The angular momentum of an electron in a hydrogen atom is proportional to (where r is the radius of the orbit):

1. √r
2. 1/r
3. r
4. 1/√r

A galvanometer of resistance 100Ω is connected in series with a 400Ω resistor to measure up to 10V. The value of resistance required to convert the galvanometer into an ammeter to read up to 10A is x × 10^-2Ω. The value of x is:

1. 2
2. 800
3. 20
4. 200

The vehicles carrying inflammable fluids usually have metallic chains touching the ground:

1. To conduct excess charge due to air friction to the ground and prevent sparking
2. To alert other vehicles
3. To protect tires from catching dirt from the ground
4. It is a custom

If n is the number density and d is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e., mean free path) is represented by:

1. 1/√(2πd²)
2. √(2πd²)
3. 1/√(2πd²n)
4. 1/√(2nπ²d²)

A particle moves in the x-y plane under the influence of a force F such that its linear momentum is P⃗(t) = î cos(kt) − ĵ sin(kt). If k is constant, the angle between F⃗ and P⃗ will be:

1. π/2
2. π/6
3. π/4
4. π/3

The electrostatic force (F₁) and magnetic force (F₂) acting on a charge q moving with velocity v can be written as:

1. F₁ = qv · E, F₂ = q(B · v)
2. F₁ = qB, F₂ = q(B × v)
3. F₁ = qE, F₂ = q(v × B)
4. F₁ = qE, F₂ = q(B × v)

A man carrying a monkey on his shoulder cycles smoothly on a circular track of radius 9m and completes 120 revolutions in 3 minutes. The magnitude of the centripetal acceleration of the monkey is (in m/s²):

1. Zero
2. 16π² m/s²
3. 4π² m/s²
4. 57600π² m/s²

A series LCR circuit is subjected to an AC signal of 200V, 50Hz. If the voltage across the inductor (L = 10mH) is 31.4V, then the current in this circuit is:

1. 68 A
2. 63 A
3. 10 A
4. 10 mA

What is the dimensional formula of ab^-1 in the equation:
(P + a/V²)(V − b) = RT,
where letters have their usual meaning?

1. [M⁰L³T^-2]
2. [ML²T^-2]
3. [M¹L⁵T^-2]
4. [M⁴L⁷T⁴]

The output (Y) of the logic circuit given below is 0 only when:

1. A = 1, B = 0
2. A = 0, B = 0
3. A = 1, B = 1
4. A = 0, B = 1

A body is moving unidirectionally under the influence of a constant power source. Its displacement in time t is proportional to:

1. t²
2. t^2/3
3. t^3/2
4. t

Match List-I with List-II:
List-I (EM-Wave)      List-II (Wavelength Range)
(A) Infra-red          (I) < 10^-3 nm
(B) Ultraviolet       (II) 400 nm to 1 nm
(C) X-rays            (III) 1 mm to 700 nm
(D) Gamma rays     (IV) 1 nm to 10^-3 nm

Choose the correct option:

1. (A)-(III), (B)-(I), (C)-(IV), (D)-(III)
2. (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
3. (A)-(IV), (B)-(III), (C)-(II), (D)-(I)
4. (A)-(I), (B)-(III), (C)-(II), (D)-(IV)

During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of C_P/C_V for the gas is:

1. 5/3
2. 9/7
3. 7/5
4. 3/2

Choose the answer from the options given below:

1. (A)-(II), (B)-(IV), (C)-(I), (D)-(III)
2. (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
3. (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
4. (A)-(III), (B)-(I), (C)-(II), (D)-(IV)

A vernier calipers has 20 divisions on the vernier scale, which coincides with the 19th division on the main scale. The least count of the instrument is 0.1mm. One main scale division is equal to:

1. 1
2. 0.5
3. 2
4. 5

A heavy box of mass 50kg is moving on a horizontal surface. If the coefficient of kinetic friction between the box and the surface is 0.3, then the force of kinetic friction is:

1. 14.7N
2. 147N
3. 1.47N
4. 1470N

A satellite revolving around a planet in a stationary orbit has a time period of 6 hours. The mass of the planet is one-fourth the mass of Earth. The radius of the orbit of the planet is:

1. 1.4×10⁴ km
2. 8.4×10⁴ km
3. 1.68×10⁵ km
4. 1.05×10⁴ km

The ratio of heat dissipated per second through the resistances 5Ω and 10Ω in the circuit given below is:

1. 1 : 2
2. 2 : 1
3. 4 : 1
4. 1 : 1

A solenoid of length 0.5m has a radius of 1 cm and is made up of m number of turns. It carries a current of 5A. If the magnitude of the magnetic field inside the solenoid is 6.28×10⁻³T, then the value of m is:

1. 100
2. 300
3. 500
4. 800

The shortest wavelength of the spectral lines in the Lyman series of the hydrogen spectrum is 915 Å. The longest wavelength of spectral lines in the Balmer series will be:

1. 5460 Å
2. 6588 Å
3. 4861 Å
4. 7400 Å

In a single-slit experiment, a parallel beam of green light of wavelength 550 nm passes through a slit of width 0.20 mm. The transmitted light is collected on a screen 100 cm away. The distance of the first-order minima from the central maximum will be x×10⁻⁵ m. The value of x is:

1. 100
2. 200
3. 275
4. 300

A sonometer wire of resonating length 90 cm has a fundamental frequency of 400 Hz when kept under some tension. The resonating length of the wire with a fundamental frequency of 600 Hz under the same tension is:

1. 45 cm
2. 60 cm
3. 75 cm
4. 90 cm

A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of rotational kinetic energy to its total kinetic energy is x/5. The value of x is:

1. 1
2. 2
3. 3
4. 4

A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of 10 N is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is:

1. 500 N
2. 1000 N
3. 2000 N
4. 1500 N

The electric field at point P due to an electric dipole is E. The electric field at point R on the equatorial line will be E/x. The value of x is:

1. 8
2. 16
3. 32
4. 4

The maximum height reached by a projectile is 64 m. If the initial velocity is halved, the new maximum height of the projectile is:

1. 32 m
2. 16 m
3. 8 m
4. 64 m

A wire of resistance 20 Ω is divided into 10 equal parts. A combination of two parts is connected in parallel, and so on. Now the resulting pairs of parallel combinations are connected in series. The equivalent resistance of the final combination is:

1. 2 Ω
2. 5 Ω
3. 10 Ω
4. 20 Ω

The current in an inductor is given by I = (3t + 8), where t is in seconds. The magnitude of the induced emf produced in the inductor is 12 mV. The self-inductance of the inductor is:

1. 2 mH
2. 4 mH
3. 6 mH
4. 8 mH

Match List-I with List-II:

List-I:
(A) ICl
(B) ICl₃
(C) ClF₅
(D) IF₇

List-II:
(I) T-Shape
(II) Square pyramidal
(III) Pentagonal bipyramidal
(IV) Linear

1. (A)-(I), (B)-(IV), (C)-(III), (D)-(II)
2. (A)-(I), (B)-(III), (C)-(II), (D)-(IV)
3. (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
4. (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

While preparing crystals of Mohr’s salt, dilute H₂SO₄ is added to a mixture of ferrous sulfate and ammonium sulfate. Before dissolving this mixture in water, dilute H₂SO₄ is added here to:

1. Prevent the hydrolysis of ferrous sulfate
2. Prevent the hydrolysis of ammonium sulfate
3. Make the medium strongly acidic
4. Increase the rate of formation of crystals

Identify the major product in the following reaction:

1. Cyclopentane
2. Cyclopentanol
3. Cyclopentene
4. Cyclopentanone

The nomenclature for the following compound is:

1. 2-Carboxy-4-hydroxyhept-6-enal
2. 2-Carboxy-4-hydroxyhept-7-enal
3. 2-Formyl-4-hydroxyhept-6-enoic acid
4. 2-Formyl-4-hydroxyhept-7-enoic acid

Given below are two statements:

Assertion (A): NH₃ and NF₃ molecules have a pyramidal shape with a lone pair of electrons on the nitrogen atom. The resultant dipole moment of NH₃ is greater than that of NF₃.

Reason (R): In NH₃, the orbital dipole due to the lone pair is in the same direction as the resultant dipole moment of the N-H bonds. F is the most electronegative element.

1. Both (A) and (R) are true, and (R) is the correct explanation of (A).
2. (A) is true, but (R) is false.
3. (A) is false, but (R) is true.
4. Both (A) and (R) are true, but (R) is not the correct explanation of (A).

Given below are two statements:

Statement I: On passing HCl(g) through a saturated solution of BaCl₂ at room temperature, white turbidity appears.

Statement II: When HCl(g) is passed through a saturated solution of NaCl, sodium chloride is precipitated due to the common ion effect.

1. Statement I is correct, but Statement II is incorrect.
2. Both Statement I and Statement II are correct.
3. Statement I is incorrect, but Statement II is correct.
4. Both Statement I and Statement II are incorrect.

The metal atom present in the complex MABXL (where A, B, X, and L are unidentate ligands and M is a metal) involves sp³ hybridization. The number of geometrical isomers exhibited by the complex is:

1. 4
2. 0
3. 2
4. 3

Match List-I with List-II:

List-I (Pair of Compounds):
(A) n-Propanol and isopropanol
(B) Methoxypropane and ethoxyethane
(C) Propanone and propanal
(D) Neopentane and isopentane

List-II (Type of Isomerism):
(I) Metamerism
(II) Chain Isomerism
(III) Position Isomerism
(IV) Functional Isomerism

1. (A)-(III), (B)-(I), (C)-(IV), (D)-(II)
2. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
3. (A)-(I), (B)-(III), (C)-(IV), (D)-(II)
4. (A)-(IV), (B)-(I), (C)-(III), (D)-(II)

The quantity of silver deposited when one coulomb of charge is passed through AgNO₃ solution is:

1. 0.1 g atom of silver
2. 1 chemical equivalent of silver
3. 1 g of silver
4. 1 electrochemical equivalent of silver

Which one of the following reactions is NOT possible?

1. Hydrolysis of an ether to form phenol
2. Conversion of phenol to chlorobenzene using HCl
3. Hydrolysis of chlorobenzene to phenol
4. Electrophilic substitution of anisole with chlorine

Given below are two statements:

Statement I: The metallic radius of Na is 1.86 Å, and the ionic radius of Na⁺ is lesser than 1.86 Å.

Statement II: Ions are always smaller in size than the corresponding elements.

1. Statement I is correct, but Statement II is false.
2. Both Statement I and Statement II are true.
3. Both Statement I and Statement II are false.
4. Statement I is incorrect, but Statement II is true.

Consider the above reaction sequence and identify the major product P:

1. Methane
2. Methanal
3. Methoxymethane
4. Methanoic acid

Consider the given chemical reaction. Product 'A' is:

1. Picric acid
2. Oxalic acid
3. Acetic acid
4. Adipic acid

For the electrochemical cell M—M²⁺||X—X²⁻, if E°(M²⁺/M) = 0.46V and E°(X/X²⁻) = 0.34V, which of the following is correct?

1. E_cell = -0.80V
2. M + X²⁻ → M²⁺ + X²⁻ is a spontaneous reaction
3. M²⁺ + X²⁻ → M + X is a spontaneous reaction
4. E_cell = 0.80V

The number of moles of methane required to produce 11 g of CO₂ after complete combustion is:

1. 0.75
2. 0.25
3. 0.35
4. 0.50

The number of complexes from the following with no electrons in the t₂ orbital is:

TiCl₄, [MnO₄]^-, [FeO₄]^2-, [FeCl₄]^-, [CoCl₄]^2-

1. 3
2. 1
3. 4
4. 2

The number of ions from the following that have the ability to liberate hydrogen from a dilute acid is:

Ti²⁺, Cr²⁺, V²⁺

1. 0
2. 2
3. 3
4. 1

Identify A and B in the given chemical reaction sequence:

Friedel-Crafts acylation followed by Clemmensen reduction

1. A = Benzaldehyde, B = Benzyl alcohol
2. A = Acetophenone, B = Ethylbenzene
3. A = Benzene, B = Phenol
4. A = Phenol, B = Benzene

The correct decreasing order of atomic radii of Group 13 elements is:

1. Tl > In > Ga > Al > B
2. Tl > In > Ga > B > Al
3. Al > Ga > In > Tl > B
4. In > Tl > Ga > Al > B

The number of ways the set S = {2, 4, 8, ..., 512} can be partitioned into three subsets of equal size is:

1. 1680
2. 1720
3. 1640
4. 1600

Combustion of 1 mole of benzene is expressed as:

C₆H₆(l) + 15/2 O₂(g) → 6CO₂(g) + 3H₂O(l)

The standard enthalpy of combustion of 2 moles of benzene is -x kJ. Calculate the value of x given the following data:
- Standard enthalpy of formation of C₆H₆(l): 48.5 kJ/mol
- Standard enthalpy of formation of CO₂(g): -393.5 kJ/mol
- Standard enthalpy of formation of H₂O(l): -286 kJ/mol

1. 6535
2. 6400
3. 7000
4. 6800

The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products A and B along with the evolution of CO₂. The sum of spin-only magnetic moment values of A and B is ___ B.M. (Nearest integer).

Given atomic numbers: C = 6, Na = 11, O = 8, Fe = 26, Cr = 24

1. 4
2. 5
3. 6
4. 7

In an atom, the total number of electrons having quantum numbers n = 4, |m_l| = 1, and m_s = -1/2 is:

1. 4
2. 5
3. 6
4. 7

Using the given figure, the ratio of R_f values of sample A and sample C is x × 10⁻². Value of x is:

Figure: Solvent front = 12.5 cm, Sample A = 5.0 cm, Sample C = 10.0 cm.

1. 40
2. 50
3. 60
4. 70

In the Claisen-Schmidt reaction to prepare 351 g of dibenzalacetone using 87 g of acetone, the amount of benzaldehyde required is ________ g (nearest integer).

1. 300
2. 318
3. 325
4. 330

In the Claisen-Schmidt reaction to prepare 351 g of dibenzalacetone using 87 g of acetone, the amount of benzaldehyde required is ________ g (nearest integer).

1. 300
2. 318
3. 325
4. 330

Consider the following single-step reaction in the gas phase at constant temperature:

2A(g) + B(g) → C(g)

The initial rate of the reaction is r₁ when the reaction starts with 1.5 atm pressure of A and 0.7 atm pressure of B. After some time, the rate r₂ is recorded when the pressure of C becomes 0.5 atm. The ratio r₁ : r₂ is ________ × 10⁻¹ (nearest integer).

1. 300
2. 315
3. 320
4. 325

The product C in the following sequence of reactions has ________ π bonds:

Reaction sequence: KMnO₄–KOH, ∆ → A; H₃O⁺ → B; Br₂/FeBr₃ → C

1. 3
2. 4
3. 5
4. 6

Considering acetic acid dissociates in water, its dissociation constant is 6.25 × 10⁻⁵. If 5 mL of acetic acid is dissolved in 1 liter of water, the solution will freeze at −x × 10⁻² °C, provided pure water freezes at 0 °C. x = _________. (Nearest integer).

Given: K_f(water) = 1.86 K·kg·mol⁻¹, density of acetic acid = 1.2 g·mL⁻¹, molar mass of acetic acid = 60 g·mol⁻¹, density of water = 1 g·cm⁻³.

1. 18
2. 19
3. 20
4. 21

Number of compounds from the following with zero dipole moment is ___________. HF, H₂, H₂S, CO₂, NH₃, BF₃, CH₄, CHCl₃, SiF₄, H₂O, BeF₂

1. 4
2. 5
3. 6
4. 7