Q1
MATHS
Unit 6: Sequence and Series
The positive integer n, for which the solutions of the equation Σ_{r=1}^{n} (x+2r-2)(x+2r) = 8n/3 are two consecutive even integers, is :-
- A. 3
- B. 6
- C. 12
- D. 9
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Q2
MATHS
Unit 7: Limit Continuity and Differentiability
Let f: R → R be a twice differentiable function such that f''(x) > 0 for all x in R and f'(a) = 0, where a is a real number. Let g(x) = f(tan² x - 2tan x + a), 0 < x < π/2. Consider the following two statements: (I) g is increasing in (0, π/4), (II) g is decreasing in (π/4, π/2). Then,
- A. Neither (I) nor (II) is True
- B. Only (II) is True
- C. Only (I) is True
- D. Both (I) and (II) are True
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Q3
MATHS
Unit 7: Limit Continuity and Differentiability
Let f(x) = x³ + 2xf'(1) + 2f''(2) + f'''(3), x ∈ R. Then the value of f'(5) is:
- A. 62/5
- B. 657/5
- C. 2/5
- D. 117/5
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Q4
MATHS
Unit 10: Co-ordinate Geometry
If the line x + 4y = α, where α ∈ R, touches the ellipse 3x² + 4y² = 1 at the point P in the first quadrant, then one of the focal distances of P is:
- A. 1/3 - 2/11
- B. 1/3 + 2/5
- C. 1/3 - 2/5
- D. 1/3 + 2/7
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Q5
MATHS
Unit 10: Co-ordinate Geometry
Let y² = 12x be the parabola with its vertex at O. Let P be a point on the parabola and A be a point on the x-axis such that ∠OPA = 90°. Then the locus of the centroid of such triangles OPA is:
- A. y² - 6x + 4 = 0
- B. y² - 9x + 6 = 0
- C. y² - 2x + 8 = 0
- D. y² - 4x + 8 = 0
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Q6
MATHS
Unit 10: Co-ordinate Geometry
Let one end of a focal chord of the parabola y² = 16x be (16, 16). If P(α, β) divides this focal chord internally in the ratio 5:2, then the minimum value of α + β is equal to:
- A. 22
- B. 7
- C. 5
- D. 16
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Q7
MATHS
Unit 11: Three Dimensional Geometry
Let the line L pass through the point (-3, 5, 2) and make equal angles with the positive coordinate axes. If the distance of L from the point (-2, r, 1) is 14/3, then the sum of all possible values of r is:
↻ Repeated question — also appeared in
2026 (1 set)
- A. 12
- B. 16
- C. 6
- D. 10
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Q8
MATHS
Unit 11: Three Dimensional Geometry
Let the line L1 be parallel to the vector -3i + 2j + 4k and pass through the point (2, 6, 7) and the line L2 be parallel to the vector 2i + j + 3k and pass through the point (4, 3, 5). If the line L3 is parallel to the vector -3i + 5j + 6k and intersects the lines L1 and L2 at the points C and D, respectively, then 2|CD|^2 is equal to:
- A. 171
- B. 290
- C. 312
- D. 89
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Q9
MATHS
Unit 2: Complex Numbers and Quadratic Equations
Let alpha and beta be the roots of the equation x^2 + 2ax + 3a + 10 = 0 such that alpha < 1 < beta. Then the set of all possible values of a is:
- A. (-infinity, -11/5) U (5, infinity)
- B. (-infinity, -2) U (5, infinity)
- C. (-infinity, -3)
- D. (-infinity, -11/5)
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Q10
MATHS
Unit 13: Statistics and Probability
A random variable X takes values 0, 1, 2, 3 with probabilities (2a+1)/30, (8a-1)/30, (4a+1)/30, b respectively. Let mu and sigma be the mean and standard deviation such that sigma^2 + mu^2 = 2. Then a/b is equal to:
- A. 30
- B. 3
- C. 60
- D. 12
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Q11
MATHS
Unit 8: Integral Calculus
If the area of the region {(x,y) : 1 <= 2x^2 + y^2 <= 4x, x>=0, y>=0} is alpha/beta, where alpha, beta are coprime, then alpha + beta is:
- A. 73
- B. 85
- C. 91
- D. 67
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Q12
MATHS
Unit 6: Sequence and Series
Let a1, a2, ..., a10 be a GP of common ratio 1/2. If a1 + a2 + ... + a10 = 62, then a1 is equal to:
- A. 2^21 - 1
- B. 2^2 - 1
- C. 2^1 - 1
- D. 2^2(2-1)
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Q13
MATHS
Unit 1: Sets Relations and Functions
Let A = {x : x^2 <= 6x - 10} and B = {x : x^2 > 1}. Then which is true?
- A. A U B = (-infinity, -1] U [2, infinity)
- B. A - B = [2, 3]
- C. A n B = [-4, -2] U [3, 4]
- D. B - A = (-infinity, -4) U (-2, 1) U (4, infinity)
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Q13
MATHS
Unit 1: Sets Relations and Functions
Let A = {x : x^2 - 10x + 6 <= 0} and B = {x : |x - 2| > 1}. Then
- A. A U B = (-inf, 1) U [2, inf)
- B. A - B = [2, 3)
- C. A n B = [-4, -2] U [3, 4]
- D. B - A = (-inf, -4) U (-2, 1) U (4, inf)
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Q14
MATHS
Unit 3: Matrices and Determinants
For the matrices A = [[3, 4], [-1, 1]] and B = [[29, 49], [-13, 18]], if A^15 + B = [[x, 0], [0, y]], then which one is true?
↻ Repeated question — also appeared in
2026 (1 set)
- A. x = 5, y = 7
- B. x = 18, y = 11
- C. x = 11, y = 2
- D. x = 16, y = 3
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Q15
MATHS
Unit 12: Vector Algebra
For a triangle ABC, let p = BC, q = CA, and r = BA. If |p| = 2sqrt(3), |q| = 2, and cos(theta) = 1/3, where theta is the angle between p and q, then |p x q + 3r|^2 is equal to:
- A. 340
- B. 220
- C. 410
- D. 200
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Q16
MATHS
Unit 9: Differential Equations
Let y = y(x) be the solution of the differential equation dy/dx - 2y tan(x) = 2 sin(x), x in (-pi/2, pi/2), y(pi/4) = 0. Then y(pi/6) is equal to:
- A. -5/2
- B. -5/4
- C. -3sqrt(3)/7
- D. -3sqrt(2)/7
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Q17
MATHS
Unit 1: Sets Relations and Functions
Let A = {2, 3, 5, 7, 9}. Let R be the relation on A defined by xRy iff 2x <= 3y. Let lambda be the number of elements in R, and m be the minimum number of elements required to be added in R to make it a symmetric relation. Then lambda + m is equal to:
- A. 23
- B. 25
- C. 21
- D. 27
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Q18
MATHS
Unit 3: Matrices and Determinants
If the system of equations 3x + y + 4z = 3, 2x + alpha y + z = -2, x + 2y + z = 4 has no solution, then the value of alpha is equal to:
- A. 19
- B. 4
- C. 13
- D. 23
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Q19
MATHS
Unit 2: Complex Numbers and Quadratic Equations
Let z be the complex number satisfying |z - 5| <= 3 and having maximum positive principal argument. Then |(5z - 12)/(5iz + 16)| is equal to:
- A. 16
- B. 12
- C. 26
- D. 20
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Q20
MATHS
Unit 4: Permutations and Combinations
The largest n in N, for which 7^n divides 101!, is:
- A. 16
- B. 18
- C. 15
- D. 19
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Q26
PHYSICS
Unit 6: Gravitation
Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both the spheres are given an initial speed of u towards each other. The minimum value of u, so that they can just touch each other is: (Take k = 1/(4πε0) and assume 2kQ^2 > Gm^2)
- A. (kQ^2/mR - Gm^2/kQ)^(1/2)
- B. (kQ^2/mR + Gm^2/kQ)^(1/2)
- C. (kQ^2/2mR - Gm^2/kQ)^(1/2)
- D. (kQ^2/2mR - Gm^2/2kQ)^(1/2)
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Q27
PHYSICS
Unit 11: Electrostatics
The charge stored by the capacitor C in the given circuit in the steady state is ____ μC.
- A. 12.5
- B. 10
- C. 7.5
- D. 5
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Q28
PHYSICS
Unit 12: Current Electricity
The total length of potentiometer wire AB is 50 cm. If P is the point where the galvanometer shows zero reading then the length AP is ____ cm.
- A. 15
- B. 30
- C. 25
- D. 20
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Q29
PHYSICS
Unit 14: Electromagnetic Induction and Alternating Currents
A capacitor C is first charged fully with potential difference of V0 and disconnected from the battery. The charged capacitor is connected across an inductor having inductance L. In t s 25% of the initial energy in the capacitor is transferred to the inductor. The value of t is ____ s.
- A. (LC^1/2 * π)/3
- B. (LC^1/2 * π)/6
- C. (LC^1/2 * π)/2
- D. (LC^1/2 * π)/2
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Q30
PHYSICS
Unit 9: Kinetic Theory of Gases
The r.m.s speed of oxygen molecules at 47°C is equal to that of the hydrogen molecules kept at ____ °C. (Mass of oxygen molecule/mass of hydrogen molecule=32/2)
- A. -235
- B. -100
- C. -253
- D. -20
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Q31
PHYSICS
Unit 3: Laws of Motion
Two cars A and B each of mass 10^3 kg are moving on parallel tracks separated by a distance of 10 m, in same direction with speeds 72 km/h and 36 km/h. The magnitude of angular momentum of car A with respect to car B is ____ J.s.
- A. 3.6 * 10^5
- B. 10^5
- C. 3 * 10^5
- D. 2 * 10^5
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Q32
PHYSICS
Unit 5: Rotational Motion
The pulley is made using a thin rim and two rods of length equal to diameter of the rim. The rim and each rod have a mass of M. Two blocks of mass M and m are attached to two ends of a light string passing over the pulley. The magnitudes of the acceleration experienced by the blocks is:
- A. (M-m)g / (M+m + I/r^2)
- B. (M-m)g / (M+m)
- C. (M-m)g / (M+m + 5M/3)
- D. (M-m)g / (M+m + 2M)
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Q33
PHYSICS
Unit 10: Oscillations and Waves
The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency of 176 rad/s. The frequency of this simple harmonic oscillator is Hz. (take π = 22/7)
↻ Repeated question — also appeared in
2026 (1 set)
- A. 14
- B. 88
- C. 28
- D. 176
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Q34
PHYSICS
Unit 16: Optics
Given below are two statements: Statement I: In a Young's double slit experiment, the angular separation of fringes will increase as the screen is moved away from the plane of the slits. Statement II: In a Young's double slit experiment, the angular separation of fringes will increase when monochromatic source is replaced by another monochromatic source of higher wavelength. In the light of the above statements, choose the correct answer from the options given below:
- A. Both Statement I and Statement II are true
- B. Both Statement I and Statement II are false
- C. Statement I is false but Statement II is true
- D. Statement I is true but Statement II is false
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Q35
PHYSICS
Unit 12: Current Electricity
A battery with EMF E and internal resistance r is connected across a resistance R. The power consumption in R will be maximum when:
- A. R = 2r
- B. r = R/2
- C. R = 2r
- D. R = r
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Q36
PHYSICS
Unit 1: Units and Measurements
Keeping the significant figures in view, the sum of the physical quantities 52.01 m, 153.2 m and 0.123 m is:
- A. 205 m
- B. 205.333 m
- C. 205.33 m
- D. 205.3 m
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Q37
PHYSICS
Unit 7: Properties of Solids and Liquids
A spherical body of radius r and density σ falls freely through a viscous liquid having density ρ and viscosity η and attains a terminal velocity v0. Estimated maximum error in the quantity η is: (Ignore errors associated with σ, ρ, and g)
- A. Δη/η = Δr/r - Δv0/v0 * 2
- B. Δη/η = 2Δr/r + Δv0/v0
- C. Δη/η = [Δr/r + Δv0/v0] * 2
- D. Δη/η = [Δr/r - Δv0/v0] * 2
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Q38
PHYSICS
Unit 7: Properties of Solids and Liquids
Surface tension of two liquids (having same densities), T1 and T2, are measured using capillary rise method utilizing two tubes with inner radii r1 and r2 where r1 > r2. The measured liquid heights are h1 and h2 respectively. The heights h1 and h2 and surface tensions T1 and T2 satisfy the relation:
- A. h1 < h2 and T1 = T2
- B. h1 = h2 and T1 = T2
- C. h1 > h2 and T1 = T2
- D. h1 > h2 and T1 < T2
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Q41
PHYSICS
Unit 18: Atoms and Nuclei
The energy of an electron in an orbit of the Bohr's atom is -0.04E0 eV where E0 is the ground state energy. If L is the angular momentum of the electron in this orbit and h is the Planck's constant, then L^2/(h^2/pi^2) is ____ :
- A. 2
- B. 4
- C. 5
- D. 6
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Q42
PHYSICS
Unit 13: Magnetic Effects of Current and Magnetism
An infinitely long straight wire carrying current I is bent in a planar shape as shown in the diagram. The radius of the circular part is r. The magnetic field at the centre O of the circular loop is:
- A. (mu0 * I / 2r) * (1 + 1/pi) i^
- B. (mu0 * I / 2r) * (1/pi - 1) i^
- C. (mu0 * I / 2r) * (1/pi + 1) i^
- D. (mu0 * I / 2r) * (-1/pi + 1) i^
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Q43
PHYSICS
Unit 5: Rotational Motion
A large drum having radius R is spinning around its axis with angular velocity omega. The minimum value of omega so that a body of mass M remains stuck to the inner wall of the drum, taking the coefficient of friction between the drum surface and mass M is mu, is:
- A. sqrt(g / muR)
- B. sqrt(2g / muR)
- C. sqrt(g / 2Rmu)
- D. sqrt(g / Rmu)
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Q44
PHYSICS
Unit 4: Work Energy and Power
A body of mass 2 kg is moving along x-direction such that its displacement as function of time is given by x(t) = alpha*t^2 + beta*t + gamma, where alpha = 1 m/s^2, beta = 1 m/s, and gamma = 1 m. The work done on the body during the time interval t = 2 s to t = 3 s is ____ J.
- A. 49
- B. 42
- C. 24
- D. 12
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Q45
PHYSICS
Unit 16: Optics
As shown in the diagram, when the incident ray is parallel to the base of the prism, the emergent ray grazes along the second surface. If refractive index of the material of prism is sqrt(2), the angle theta of prism is:
- A. 60 degrees
- B. 75 degrees
- C. 90 degrees
- D. 45 degrees
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Q46
PHYSICS
Unit 12: Current Electricity
An electromagnetic wave of frequency 100 MHz propagates through a medium of conductivity, sigma = 10 mho/m. The ratio of maximum conducting current density to maximum displacement current density is ____.
- A. 1800
- B. 1600
- C. 1500
- D. 1200
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Q47
PHYSICS
Unit 7: Properties of Solids and Liquids
The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm/s. The terminal velocity of another ball of same material and having radius 3 mm in the same fluid will be ____ cm/s.
- A. 5
- B. 10
- C. 15
- D. 20
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Q48
PHYSICS
Unit 17: Dual Nature of Matter and Radiation
A particle having electric charge 3*10^-19 C and mass 6*10^-27 kg is accelerated by applying an electric potential of 1.21 V. Wavelength of the matter wave associated with the particle is alpha*10^-12 m. The value of alpha is ____.
- A. 10
- B. 5
- C. 12
- D. 15
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Q49
PHYSICS
Unit 16: Optics
In a Young's double slit experiment set up, the two slits are kept 0.4 mm apart and screen is placed at 1 m from slits. If a thin transparent sheet of thickness 20 mu-m is introduced in front of one of the slits then centre bright fringe shifts by 20 mm on the screen. The refractive index of transparent sheet is given by alpha/10, where alpha is ____.
↻ Repeated question — also appeared in
2026 (1 set)
- A. 14
- B. 12
- C. 10
- D. 16
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Q50
PHYSICS
Unit 8: Thermodynamics
A diatomic gas (gamma = 1.4) does 100 J of work when it is expanded isobarically. Then the heat given to the gas is ____ J.
↻ Repeated question — also appeared in
2026 (1 set)
- A. 250
- B. 350
- C. 400
- D. 500
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Q51
CHEMISTRY
Unit 2: Atomic Structure
Consider the following spectral lines for atomic hydrogen:
A. First line of Paschen series B. Second line of Balmer series
C. Third line of Paschen series D. Fourth line of Bracket series
The correct arrangement of the above lines in ascending order of energy is:
- A. (1) D < C < A < B
- B. (2) A < B < C < D
- C. (3) C < D < B < A
- D. (4) D < A < C < B
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Q54
CHEMISTRY
Unit 7: Redox Reactions and Electrochemistry
Aqueous HCl reacts with MnO2(s) to form MnCl2(aq), Cl2(g) and H2O(l). What is the weight (in g) of Cl2 liberated when 8.7 g of MnO2(s) is reacted with excess aqueous HCl solution? (Given Molar mass in g mol–1 Mn = 55, Cl = 35.5, O = 16, H = 1)
- A. (1) 7.1
- B. (2) 71
- C. (3) 21.3
- D. (4) 14.2
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Q55
CHEMISTRY
Unit 1: Some Basic Concepts in Chemistry
By usual analysis, 1.00 g of compound (X) gave 1.79 g of magnesium pyrophosphate. The percentage of phosphorus in compound (X) is: (nearest integer) (Given, molar mass in g mol–1 : O=16, Mg=24, P=31)
- A. (1) 50
- B. (2) 30
- C. (3) 20
- D. (4) 40
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Q56
CHEMISTRY
Unit 4: Chemical Thermodynamics
Consider the following data: Enthalpy of formation of methane = X kJ mol^-1. Enthalpy of sublimation of graphite = Y kJ mol^-1. Dissociation enthalpy of H2 = Z kJ mol^-1. The bond enthalpy of C-H bond is given by:
- A. (1) (X + Y + 2Z)/4
- B. (2) (X + Y + Z)/4
- C. (3) X + Y + Z
- D. (4) (-X + Y + Z)/4
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Q57
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
Match List-I with List-II.
- A. (1) A-II, B-III, C-IV, D-I
- B. (2) A-IV, B-III, C-I, D-II
- C. (3) A-IV, B-I, C-II, D-III
- D. (4) A-II, B-IV, C-I, D-III
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Q57
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
Match List-I (Reagents involving aldehydes) with List-II (Reaction Name):
List-I:
A. H2, Pd/BaSO4
B. SnCl2, HCl
C. CrO2Cl2, CS2
D. CO, HCl / Anhyd. AlCl3
List-II:
I. Etard Reaction
II. Rosenmund Reduction
III. Gatterman-Koch Reaction
IV. Stephen Reaction
Choose the correct answer:
- A. (1) A-II, B-III, C-IV, D-I
- B. (2) A-IV, B-III, C-I, D-II
- C. (3) A-IV, B-I, C-II, D-III
- D. (4) A-II, B-IV, C-I, D-III
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Q58
CHEMISTRY
Unit 8: Chemical Kinetics
Decomposition of A is a first order reaction at T K and is given by A(g) -> B(g) + C(g). In a 1 L vessel, 1 bar A(g) is allowed to decompose at T K. After 100 minutes, the total pressure was 1.5 bar. What is the rate constant (in min^-1) of the reaction? (log 2 = 0.3)
- A. (1) 6.9 x 10^-1
- B. (2) 6.9 x 10^-3
- C. (3) 6.9 x 10^-2
- D. (4) 6.9 x 10^-4
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Q60
CHEMISTRY
Unit 9: Classification of Elements and Periodicity in Properties
Given below are two statements:
Statement-I: The correct order in terms of atomic/ionic radii is Al > Mg > Mg2+ > Al3+.
Statement-II: The correct order in terms of the magnitude of electron gain enthalpy is Cl > Br > S > O.
In the light of the above statements, choose the correct answer:
- A. (1) Both Statement I and Statement II are false
- B. (2) Statement I is false but Statement II is true
- C. (3) Statement I is true but Statement II is false
- D. (4) Both Statement I and Statement II are true
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Q61
CHEMISTRY
Unit 19: Biomolecules
The correct statements are:
A. Activation energy for enzyme catalysed hydrolysis of sucrose is lower than that of acid catalysed hydrolysis.
B. During denaturation, secondary and tertiary structures of a protein are destroyed but primary structure remains intact.
C. Nucleotides are joined together by glycosidic linkage between C1 and C4 carbons of the pentose sugar.
D. Quaternary structure of proteins represents overall folding of the polypeptide chain.
- A. (1) A, C and D Only
- B. (2) A, B and D Only
- C. (3) A and B Only
- D. (4) B and C Only
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Q62
CHEMISTRY
Unit 16: Organic Compounds Containing Halogens
The correct order of the rate of the reaction (substitution) with respect to nucleophiles for CH3Br is:
- A. (1) PhO- > OH- > CH3COO- > ClO4-
- B. (2) ClO4- > CH3COO- > OH- > PhO-
- C. (3) CH3COO- > PhO- > OH- > ClO4-
- D. (4) OH- > PhO- > CH3COO- > ClO4-
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Q63
CHEMISTRY
Unit 12: Coordination Compounds
Given below are two statements:
Statement I: Crystal Field Stabilization Energy (CFSE) of [Cr(H2O)6]2+ is greater than that of [Mn(H2O)6]2+.
Statement II: Potassium ferricyanide has a greater spin-only magnetic moment than sodium ferrocyanide.
In the light of the above statements, choose the correct answer:
↻ Repeated question — also appeared in
2026 (1 set)
- A. (1) Both Statement I and Statement II are true
- B. (2) Both Statement I and Statement II are false
- C. (3) Statement I is true but Statement II is false
- D. (4) Statement I is false but Statement II is true
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Q64
CHEMISTRY
Unit 3: Chemical Bonding and Molecular Structure
The correct increasing order of C–H(A), C–O(B), C=O(C) and C≡N(D) bonds in terms of covalent bond length is:
- A. A < B < C < D
- B. A < D < C < B
- C. D < C < B < A
- D. D < C < A < B
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Q66
CHEMISTRY
Unit 10: p-Block Elements
Given below are some of the statements about Mn and Mn2O7. Identify the correct statements:
A. Mn forms the oxide Mn2O7 in which Mn is in its highest oxidation state.
B. Oxygen stabilizes the Mn in higher oxidation states by forming multiple bonds with Mn.
C. Mn2O7 is an ionic oxide.
D. The structure of Mn2O7 consists of one bridged oxygen.
Choose the correct answer from the options given below:
- A. A, B, C and D
- B. A, B and D Only
- C. A, C and D Only
- D. A, B and C Only
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Q67
CHEMISTRY
Unit 7: Redox Reactions and Electrochemistry
For a closed circuit Daniell cell, which of the following plots is the accurate one at a given temperature?
- A. Plot 1
- B. Plot 2
- C. Plot 3
- D. Plot 4
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Q69
CHEMISTRY
Unit 10: p-Block Elements
Given below are two statements:
Statement I: The correct order in terms of bond dissociation enthalpy is Cl2 > Br2 > F2 > I2
Statement II: The correct trend in the covalent character of the metal halides is [SnCl4 > SnCl2], [PbCl4 > PbCl2] and [UF4 > UF6]
In the light of the above statements, choose the correct answer from the options given below:
- A. Statement I is true but Statement II is false
- B. Both Statement I and Statement II are true
- C. Statement I is false but Statement II is true
- D. Both Statement I and Statement II are false
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Q70
CHEMISTRY
Unit 10: p-Block Elements
On heating a mixture of common salt and K2Cr2O7 in equal amount along with concentrated H2SO4 in a test tube, a gas is evolved. Formula of the gas evolved and oxidation state of the central metal atom in the gas respectively are:
↻ Repeated question — also appeared in
2026 (1 set)
- A. CrO2Cl2 and +5
- B. CrO2Cl2 and +6
- C. Cr2O2Cl2 and +6
- D. Cr2O2Cl2 and +3
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Q71
CHEMISTRY
Unit 6: Equilibrium
The first and second ionization constants of H2X are 2.5 × 10^-8 and 1.0 × 10^-13 respectively. The concentration of X^2- in 0.1M H2X solution is x × 10^-15 M. Find the value of x (Nearest Integer).
- A. 100
- B. 50
- C. 10
- D. 1
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Q72
CHEMISTRY
Unit 5: Solutions
The osmotic pressure of a living cell is 12 atm at 300 K. The strength of sodium chloride solution that is isotonic with the living cell at this temperature is x g/L. Find x (Nearest integer). Given: R = 0.08 L atm K^-1 mol^-1, Molar mass of Na = 23 and Cl = 35.5 g/mol.
- A. 12
- B. 15
- C. 30
- D. 10
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Q73
CHEMISTRY
Unit 5: Solutions
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol^-1) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is x × 10^-2. Find x (Nearest integer). Given: Kb of the solvent = 5.0 K kg mol^-1.
- A. 1
- B. 2
- C. 3
- D. 4
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Q74
CHEMISTRY
Unit 12: Coordination Compounds
Identify the metal ions among Co^2+, Ni^2+, Fe^2+, V^2+ and Ti^2+ having a spin-only magnetic moment value more than 3.0 BM. The sum of unpaired electrons present in the high spin octahedral complexes formed by those metal ions is x. Find x.
- A. 5
- B. 6
- C. 7
- D. 8
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Q75
CHEMISTRY
Unit 7: Redox Reactions and Electrochemistry
MX is a sparingly soluble salt that follows the solubility equilibrium MX(s) ⇌ M+(aq) + X-(aq); Ksp = 10^-10. If the standard reduction potential for M+(aq) + e- → M(s) is 0.79 V, then the value of the standard reduction potential for the metal/metal insoluble salt electrode (X-/MX(s)/M) is x mV. Find x.
- A. 100
- B. 200
- C. 300
- D. 400
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