Q1
MATHS
Unit 12: Vector Algebra
Let AB = 2i + 4j - 5k and AD = lambda*i + lambda*j + k, lambda ∈ R. Let the projection of the vector v = i + j + k on the diagonal AC of the parallelogram ABCD be of length one unit. If α, β, where α > β, be the roots of the equation 2λ^2 - 6λ + 5 = 0, then 2α - β is equal to
- A. 1
- B. 4
- C. 3
- D. 6
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Q2
MATHS
Unit 1: Sets Relations and Functions
Let the relation R on the set M = {1, 2, 3, ..., 16} be given by R = {(x, y) : 4y = 5x - 3, x, y ∈ M}. Then the minimum number of elements required to be added in R, in order to make the relation symmetric, is equal to
- A. 1
- B. 2
- C. 4
- D. 3
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Q3
MATHS
Unit 8: Integral Calculus
Let the line x = -1 divide the area of the region {(x, y) : 1 <= x^2 + y^2 <= 3 - x} in the ratio m : n, gcd(m, n) = 1. Then m + n is equal to
- A. 25
- B. 28
- C. 26
- D. 27
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Q4
MATHS
Unit 13: Statistics and Probability
Two distinct numbers a and b are selected at random from {1, 2, 3, ..., 50}. The probability that their product ab is divisible by 3 is
- A. 561/1225
- B. 664/1225
- C. 272/1225
- D. 8/25
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Q5
MATHS
Unit 7: Limit Continuity and Differentiability
Let f(x) = x^2025 - x^2000, x ∈ [0, 1] and the minimum value of the function f(x) in the interval [0, 1] be (80/81)^(n). Then n is equal to
- A. -81
- B. -40
- C. -41
- D. -80
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Q6
MATHS
Unit 11: Three Dimensional Geometry
Let P(α, β, γ) be the point on the line (x-1)/2 = (y+1)/3 = z/2 at a distance of 4√14 from the point (1, -1, 0) and nearer to the origin. Then the shortest distance between the lines (x-α)/1 = (y-β)/2 = (z-γ)/3 and (x+5)/2 = (y-10)/1 = (z-3)/1 is equal to
- A. 5√7 / 4
- B. 7√4 / 5
- C. 5√4 / 7
- D. 7√2 / 4
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Q7
MATHS
Unit 13: Statistics and Probability
If a random variable x has the probability distribution given by P(x) = {0: x=0, 2k: x=1, k: x=2, 3k^2: x=3, 2k: x=4, 2k: x=5, k^2: x=6, 7k^2+k: x=7}, then P(3 < x <= 6) is equal to
- A. 0.34
- B. 0.22
- C. 0.64
- D. 0.33
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Q8
MATHS
Unit 2: Complex Numbers and Quadratic Equations
The number of distinct real solutions of the equation |x+4| + 3|x-2| = 10 is
- A. 3
- B. 1
- D. 2
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Q9
MATHS
Unit 8: Integral Calculus
Let f: [1, ∞) -> R be a differentiable function. If integral from 1 to x of 6f(t) dt = 3x f(x) - x^3 + 4 for all x >= 1, then the value of f(2) - f(3) is
- A. -4
- B. -3
- C. 4
- D. 3
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Q10
MATHS
Unit 10: Co-ordinate Geometry
If the line x + 2y = α, where α ∈ R, does not meet the hyperbola x^2 - 9y^2 = 9, then a possible value of α is:
- A. 0.6
- B. 0.8
- C. 0.5
- D. 0.7
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Q10
MATHS PAPER 2B
Unit 10: Co-ordinate Geometry
If the line x + 2y = alpha, where alpha is in R, does not meet the hyperbola x^2 - 9y^2 = 9, then a possible value of alpha is:
- A. 0.6
- B. 0.8
- C. 0.5
- D. 0.7
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Q11
MATHS PAPER 2B
Unit 11: Three Dimensional Geometry
If the image of the point P(1, 2, a) in the line (x-6)/3 = (y-7)/2 = (z-7)/(-2) is Q(5, b, c), then a^2 + b^2 + c^2 is equal to:
- A. 293
- B. 264
- C. 298
- D. 283
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Q12
MATHS PAPER 2B
Unit 10: Co-ordinate Geometry
Let the set of all values of r, for which the circles (x-1)^2 + (y+4)^2 = r^2 and x^2 + y^2 - 4x + 2y - 4 = 0 intersect at two distinct points be the interval (alpha, beta). Then alpha*beta is equal to:
- A. 25
- B. 20
- C. 21
- D. 24
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Q13
MATHS PAPER 2B
Unit 3: Matrices and Determinants
If A = [[2, 3], [3, 5]], then the determinant of the matrix (A^2025 - 3A^2024 + A^2023) is:
- A. 28
- B. 12
- C. 24
- D. 16
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Q16
MATHS PAPER 2A
Unit 5: Binomial Theorem and its Simple Applications
The coefficient of x^48 in (1+x)^1 + 2(1+x)^2 + 3(1+x)^3 + ... + 100(1+x)^100 is equal to:
- A. 100*C(100, 49) - C(100, 50)
- B. C(100, 50) + C(100, 49)
- C. 100*C(100, 49) - C(100, 48)
- D. 100*C(101, 49) - C(101, 50)
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Q17
MATHS PAPER 2B
Unit 10: Co-ordinate Geometry
If the chord joining the points P1(x1, y1) and P2(x2, y2) on the parabola y^2 = 12x subtends a right angle at the vertex of the parabola, then x1x2 + y1y2 is equal to
- A. 288
- B. 280
- C. 284
- D. 292
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Q18
MATHS PAPER 2B
Unit 14: Trigonometry
The number of solutions of (1/tan 4x) + (1/tan 6x) = 1/6, where -11π/26 < x < 11π/26 is equal to
- A. 3
- C. 1
- D. 2
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Q19
MATHS PAPER 2B
Unit 9: Differential Equations
Let the solution curve of the differential equation (x^2 - y^2)dx + xy dy = 0, x > 0, y(1) = 0, be y = y(x). Then y(3) is equal to
- A. 4
- B. 6
- C. 1
- D. 2
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Q20
MATHS PAPER 2B
Unit 6: Sequence and Series
If the sum of the first four terms of an A.P. is 6 and the sum of its first six terms is 4, then the sum of its first twelve terms is
- A. -20
- B. -24
- C. -26
- D. -22
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Q21
MATHS PAPER 2B
Unit 2: Complex Numbers and Quadratic Equations
Let α = (-1 + i√3)/2 and β = (-1 - i√3)/2. If ((7α + 9β)^20 + (9α + 7β)^20) / ((7α + 7β)^10 + (14α + 7β)^10) = m^10, then m is equal to
- A. 49
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Q22
MATHS PAPER 2B
Unit 3: Matrices and Determinants
Let A be a 3x3 matrix such that A^T + A = O. If det(adj(2adj(A))) + det(adj(A+I)) = αβγ, where α, β, γ are non-negative integers, then α + β + γ is equal to
- A. 18
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Q23
MATHS PAPER 2B
Unit 8: Integral Calculus
If ∫ (sinx)^-11/2 (cosx)^-5/2 dx = (p1(cotx)^q1/p1 + p2(cotx)^q2/p2 + p3(cotx)^q3/p3 + p4(cotx)^q4/p4) + C, where gcd(pi, qi) = 1, then (p1+p2+p3+p4)/(q1+q2+q3+q4) is equal to
- A. 16
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Q24
MATHS PAPER 2B
Unit 14: Trigonometry
If (cos^2 48° - sin^2 12°) / (sin^2 24° - sin^2 6°) = (α + √β)/2, where α, β ∈ N, then α + β is equal to
- A. 4
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Q24
MATHS
Unit 14: Trigonometry
If (cos^2(48°) - sin^2(12°)) / (sin^2(24°) - sin^2(6°)) = (5 + α) / (β), where α, β ∈ N, then α + β is equal to ____.
- A. 2
- B. 3
- C. 4
- D. 5
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Q25
MATHS PAPER 2B
Unit 4: Permutations and Combinations
Let ABC be a triangle. Consider four points p1, p2, p3, p4 on side AB, five points p5, p6, p7, p8, p9 on side BC, and four points p10, p11, p12, p13 on side AC. Total number of pentagons that can be formed using these points is
- A. 660
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Q25
MATHS
Unit 4: Permutations and Combinations
Let ABC be a triangle. Consider four points p1, p2, p3, p4 on the side AB, five points p5, p6, p7, p8, p9 on the side BC, and four points p10, p11, p12, p13 on the side AC. None of these points is a vertex of the triangle ABC. Then the total number of pentagons that can be formed by taking all the vertices from the points p1, p2, ..., p13 is ____.
- A. 660
- B. 540
- C. 480
- D. 720
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Q26
PHYSICS
Unit 5: Rotational Motion
A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm. The moment of inertia of this pair of spheres about the tangent passing through the point of contact is ____ kg.m^2.
- A. 0.36
- B. 0.72
- C. 0.18
- D. 0.63
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Q27
PHYSICS
Unit 18: Atoms and Nuclei
7.9 MeV α-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) ____ m.
- A. 5.76 * 10^-14
- B. 1.44 * 10^-13
- C. 2.88 * 10^-14
- D. 1.69 * 10^-12
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Q28
PHYSICS
Unit 11: Electrostatics
Six point charges are kept 60° apart from each other on the circumference of a circle of radius R. The net electric field at the centre of the circle is ____.
- A. -(5Q/8πϵR^2)(i + 3j)
- B. -(Q/4πϵR^2)(3i + j)
- C. -(5Q/8πϵR^2)(i - 3j)
- D. -(Q/4πϵR^2)(3i - j)
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Q29
PHYSICS
Unit 14: Electromagnetic Induction and Alternating Currents
XPQY is a vertical smooth long loop having a total resistance R where PX is parallel to QY and separation between them is l. A constant magnetic field B perpendicular to the plane of the loop exists in the entire space. A rod CD of length L (L > l) and mass m is made to slide down from rest under the gravity. The terminal speed acquired by the rod is ____ m/s.
- A. 2mgR / (B^2 l^2)
- B. 8mgR / (B^2 l^2)
- C. 2mgR / (B^2 L^2)
- D. mgR / (B^2 l^2)
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Q30
PHYSICS
Unit 6: Gravitation
The escape velocity from a spherical planet A is 10 km/s. The escape velocity from another planet B whose density and radius are 10% of those of planet A, is ____ m/s.
↻ Repeated question — also appeared in
2026 (1 set)
- A. 1000
- B. 200√5
- C. 100√10
- D. 1000√2
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Q31
PHYSICS
Unit 12: Current Electricity
A meter bridge with two resistances R1 and R2 as shown in figure was balanced (null point) at 40 cm from the point P. The null point changed to 50 cm from the point P, when 16Ω resistance is connected in parallel to R2. The values of resistances R1 and R2 are ____.
- A. R2 = 16Ω, R1 = 16/3 Ω
- B. R2 = 4Ω, R1 = 4/3 Ω
- C. R2 = 16/3 Ω, R1 = 8Ω
- D. R2 = 12Ω, R1 = 12/3 Ω
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Q32
PHYSICS
Unit 2: Kinematics
A projectile is thrown upward at an angle 60° with the horizontal. The speed of the projectile is 20 m/s when its direction of motion is 45° with the horizontal. The initial speed of the projectile is ____ m/s.
- A. 40 2
- B. 40
- C. 20 3
- D. 20 2
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Q33
PHYSICS
Unit 7: Properties of Solids and Liquids
Given below are two statements:
Statement I: Pressure of fluid is exerted only on a solid surface in contact as the fluid-pressure does not exist everywhere in a still fluid.
Statement II: Excess potential energy of the molecules on the surface of a liquid, when compared to interior, results in surface tension.
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 false
- C. Both Statement I and Statement II are true
- D. Statement I is false but Statement II is true
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Q35
PHYSICS
Unit 6: Gravitation
Net gravitational force at the centre of a square is found to be F1 when four particles having mass M, 2M, 3M and 4M are placed at the four corners of the square as shown in figure and it is F2 when the positions of 3M and 4M are interchanged. The ratio F1/F2 is 5/α. The value of α is ____.
- A. 2
- B. 3
- C. 1
- D. 2 5
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Q36
PHYSICS
Unit 18: Atoms and Nuclei
The minimum frequency of photon required to break a particle of mass 15.348 amu into 4 alpha particles is ____ kHz. [mass of He nucleus = 4.002 amu, 1 amu = 1.66 * 10^-27 kg, h = 6.6 * 10^-34 J.s, c = 3 * 10^8 m/s]
- A. 19 9 * 10
- B. 20 9 * 10
- C. 20 14.94 * 10
- D. 19 14.94 * 10
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Q37
PHYSICS
Unit 9: Kinetic Theory of Gases
A cylindrical tube AB of length , closed at both ends contains an ideal gas of 1 mol having molecular weight M. The tube is rotated in a horizontal plane with constant angular velocity about an axis perpendicular to AB and passing through the edge at end A. If PA and PB are the pressures at A and B respectively, then (Consider the temperature is same at all points in the tube)
↻ Repeated question — also appeared in
2026 (1 set)
- A. PB = PA * exp(Mω^2 * ^2 / 2RT)
- B. PB = PA
- C. PB = PA * exp(Mω^2 * ^2 / 3RT)
- D. PB = PA * exp(Mω^2 * ^2 / RT)
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Q38
PHYSICS
Unit 8: Thermodynamics
Rods x and y of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points A and F are maintained at 100°C and 40°C respectively. Given the thermal conductivity of rod x is three times of that of rod y, the temperature at junction points B and E are (close to):
- A. 89°C and 73°C respectively
- B. 80°C and 60°C respectively
- C. 80°C and 70°C respectively
- D. 60°C and 45°C respectively
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Q40
PHYSICS
Unit 16: Optics
Consider an equilateral prism (refractive index μ = 2). A ray of light is incident on its one surface at a certain angle i. If the emergent ray is found to graze along the other surface then the angle of refraction at the incident surface is close to:
- A. 15°
- B. 20°
- C. 40°
- D. 30°
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Q41
PHYSICS
Unit 9: Kinetic Theory of Gases
The volume of an ideal gas increases 8 times and temperature becomes (1/4) of initial temperature during a reversible change. If there is no exchange of heat in this process (ΔQ = 0) then identify the gas from the following options (Assuming the gases given in the options are ideal gases):
- A. CO2
- B. O2
- C. NH3
- D. He
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Q41
PHYSICS
Unit 8: Thermodynamics
A gas undergoes a reversible change in temperature. If there is no exchange of heat in this process (ΔQ=0) then identify the gas from the following options (Assuming the gases given in the options are ideal gases):
- A. CO2
- B. O2
- C. NH3
- D. He
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Q42
PHYSICS
Unit 11: Electrostatics
Electric field in a region is given by E = Ax i + By j, where A = 10 V/m^2 and B = 5 V/m^2. If the electric potential at a point (10, 20) is 500 V, then the electric potential at origin is ____ V.
↻ Repeated question — also appeared in
2026 (1 set)
- A. 1000
- B. 500
- C. 2000
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Q43
PHYSICS
Unit 11: Electrostatics
A simple pendulum has a bob with mass m and charge q. The pendulum string has negligible mass. When a uniform and horizontal electric field E is applied, the tension in the string changes. The final tension in the string, when pendulum attains an equilibrium position is ____.
- A. mg - qE
- B. mg + qE
- C. sqrt((mg)^2 + (qE)^2)
- D. sqrt((mg)^2 - (qE)^2)
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Q44
PHYSICS
Unit 1: Units and Measurements
Match the LIST-I with LIST-II: A. Spring constant, B. Thermal conductivity, C. Boltzmann constant, D. Inductive reactance.
- A. A-II, B-I, C-IV, D-III
- B. A-I, B-IV, C-II, D-III
- C. A-III, B-II, C-IV, D-I
- D. A-II, B-IV, C-I, D-III
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Q47
PHYSICS
Unit 15: Electromagnetic Waves
The electric field of a plane electromagnetic wave, travelling in an unknown non-magnetic medium is given by, E_y = 20 sin(3*10^6 x - 4.5*10^14 t) V/m. The dielectric constant of the medium is ____ . (speed of light in free space is 3*10^8 m/s)
- A. 2
- B. 3
- C. 4
- D. 6
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Q48
PHYSICS
Unit 16: Optics
A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm. Refractive index of glass is 1.5. The rays converge to a point at a distance x cm from the centre of the curvature of the spherical surface. The value of x is ____ cm.
- A. 50
- B. 100
- C. 150
- D. 200
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Q49
PHYSICS
Unit 5: Rotational Motion
A circular disc has radius R1 and thickness T1. Another circular disc made of the same material has radius R2 and thickness T2. If the moment of inertia of both discs are same and R1/R2 = 2, then T1/T2 = α. The value of α is ____.
- A. 4
- B. 8
- C. 16
- D. 32
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Q51
CHEMISTRY
Unit 12: Coordination Compounds
Consider the transition metal ions Mn3+, Cr3+, Fe3+ and Co3+ and all form low spin octahedral complexes. The correct decreasing order of unpaired electrons in their respective d-orbitals of the complexes is:
- A. Cr3+ > Fe3+ > Co3+ > Mn3+
- B. Mn3+ > Fe3+ > Co3+ > Cr3+
- C. Fe3+ > Co3+ > Mn3+ > Cr3+
- D. Cr3+ > Mn3+ > Fe3+ > Co3+
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Q52
CHEMISTRY
Unit 3: Chemical Bonding and Molecular Structure
The formal charges on the atoms marked as (1) to (4) in the Lewis representation of HNO3 molecule respectively are:
- A. +1, 0, 0, -1
- B. 0, -1, 0, +1
- C. 0, +1, 0, -1
- D. 0, 0, -1, +1
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Q53
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
Given below are two statements: Statement I: Phenol on treatment with CHCl3/aq. KOH under refluxing condition, followed by acidification produces p-hydroxy benzaldehyde as the major product and o-hydroxy benzaldehyde as the minor product. Statement II: The mixture of p-hydroxybenzaldehyde and o-hydroxybenzaldehyde can be easily separated through steam distillation. In the light of the above statements, choose the correct answer from the options given below:
- A. Both Statement I and Statement II are false
- B. Statement I is true but Statement II is false
- C. Both Statement I and Statement II are true
- D. Statement I is false but Statement II is true
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Q54
CHEMISTRY
Unit 2: Atomic Structure
The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is ____ J mol–1. Given : R_H = 2.18*10^-11 ergs.
↻ Repeated question — also appeared in
2026 (1 set)
- A. 1.635*10^-18
- B. 9.835*10^5
- C. 9.835*10^12
- D. 1.635*10^-11
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Q55
CHEMISTRY
Unit 9: Classification of Elements and Periodicity in Properties
A 'p'-block element (E) and hydrogen form a binary cation (EH4)+, while EH3 on treatment with K2HgI4 in alkaline medium gives a precipitate of basic mercury(II)amido-iodine. Given below are first ionisation enthalpy values (kJ mol–1) for the first element each from group 13, 14, 15 and 16. Identify the correct first ionisation enthalpy value for element E. (1) 1312 (2) 1086 (3) 1402 (4) 801
- A. 1312
- B. 1086
- C. 1402
- D. 801
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Q56
CHEMISTRY
Unit 6: Equilibrium
In the reaction, 2Al(s) + 6HCl(aq) -> 2Al3+(aq) + 6Cl–(aq) + 3H2(g), identify the correct statement.
- A. 11.2 L H2(g) at STP is produced for every mole of HCl consumed.
- B. 67.2 L H2(g) at STP is produced for every mole of Al that reacts.
- C. 12 L HCl(aq) is consumed for every 6 L H2(g) produced.
- D. 33.6 L H2(g) is produced regardless of temperature and pressure for every mole of Al that reacts.
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Q57
CHEMISTRY
Unit 5: Solutions
Consider a solution of CO2(g) dissolved in water in a closed container. Which one of the following plots correctly represents variation of log(partial pressure of CO2) [y-axis] with log(mole fraction of CO2) [x-axis] at 25°C?
- A. Linear with positive slope and positive intercept
- B. Linear with negative slope
- C. Linear with positive slope (slope=1) and positive intercept
- D. Curve
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Q58
CHEMISTRY
Unit 12: Coordination Compounds
A first row transition metal (M) does not liberate H2 gas from dilute HCl. 1 mol of aqueous solution of MSO4 is treated with excess of aqueous KCN and then H2S(g) is passed through the solution. The amount of MS (metal sulphide) formed from the above reaction is ____ mol.
- A. 2
- B. 1
- C. 3
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Q59
CHEMISTRY
Unit 16: Organic Compounds Containing Halogens
The correct order of reactivity of CH3Br in methanol with the following nucleophiles is F–, I–, C2H5O– and C6H5O–.
- A. C6H5O– > C2H5O– > I– > F–
- B. I– > C2H5O– > C6H5O– > F–
- C. I– > C2H5O– > F– > C6H5O–
- D. C6H5O– > F– > C2H5O– > I–
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Q60
CHEMISTRY
Unit 4: Chemical Thermodynamics
Match the LIST-I with LIST-II (Thermodynamic Process with Magnitude in kJ). A: Rev Iso expansion 2mol 2dm3 to 20dm3 300K, B: Irrev Iso expansion 1mol 1m3 to 3m3 300K against 3kPa, C: Adiabatic exp 1mol CV=3/2R 320K, D: Enthalpy change CP=5/2R 337K.
- A. A-III, B-II, C-IV, D-I
- B. A-II, B-III, C-I, D-IV
- C. A-I, B-II, C-III, D-IV
- D. A-II, B-I, C-III, D-IV
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Q61
CHEMISTRY
Unit 15: Hydrocarbons
Given below are two statements:
Statement I: Benzene is nitrated to give nitrobenzene, which on further treatment with CH3COCl / AlCl3 will give acetophenone.
Statement II: NO2 group is a m-directing, and deactivating group.
In the light of the above statements, choose the most appropriate answer from the options given below.
- A. Statement I is correct but Statement II is incorrect.
- B. Both Statement I and Statement II are correct.
- C. Statement I is incorrect but Statement II is correct.
- D. Both Statement I and Statement II are incorrect.
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Q62
CHEMISTRY
Unit 8: Chemical Kinetics
A -> products (First order reaction).
Three sets of experiment were performed for a reaction under similar experimental conditions.
Run 1: 100 mL of 10 M solution of reactant A
Run 2: 200 mL of 10 M solution of reactant A
Run 3: 100 mL of 10 M solution of reactant A + 100 mL of H2O added.
The correct variation of rate of reaction is
- A. Run 1 = Run 2 = Run 3
- B. Run 3 < Run 1 = Run 2
- C. Run 3 < Run 1 < Run 2
- D. Run 1 < Run 2 < Run 3
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Q63
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
Match the LIST-I with LIST-II:
List-I (Reagents): A. NH2NH2, KOH; B. Ag(NH3)2OH; C. Aq. CuSO4, Sodium Potassium tartarate, KOH; D. Zn(Hg), HCl
List-II (Name of Reaction involving carbonyl compound): I. Tollen's Test; II. Clemmensen Reduction; III. Wolff-Kishner Reduction; IV. Fehling's Test
- A. A-III, B-I, C-IV, D-II
- B. A-II, B-I, C-IV, D-III
- C. A-IV, B-III, C-II, D-I
- D. A-III, B-IV, C-I, D-II
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Q64
CHEMISTRY
Unit 10: p-Block Elements
Given below are two statements:
Statement I: The halogen that makes longest bond with hydrogen in HX, has the smallest covalent radius in its group.
Statement II: A group 15 element's hydride EH3 has the lowest boiling point among corresponding hydrides of other group 15 elements. The maximum covalency of that element E is 4.
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. Statement I is false but Statement II is true.
- C. Both Statement I and Statement II are false.
- D. Statement I is true but Statement II is false.
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Q65
CHEMISTRY
Unit 19: Biomolecules
Given below are two statements:
Statement I: Sucrose is dextrorotatory. However, sucrose upon hydrolysis gives a solution having mixture of products. This solution shows laevorotation.
Statement II: Hydrolysis of sucrose gives glucose and fructose. Since the laevorotation of glucose is more than the dextrorotation of fructose the resulting solution becomes laevorotatory.
In the light of the above statements, choose the correct answer from the options given below.
- A. Statement I is false but Statement II is true.
- B. Both Statement I and Statement II are false.
- C. Both Statement I and Statement II are true.
- D. Statement I is true but Statement II is false.
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Q66
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
'A' is a neutral organic compound (M. F : C8H9ON). On treatment with aqueous Br2/OH-, 'A' forms a compound 'B' which is soluble in dilute acid. 'B' on treatment with aqueous NaNO2/HCl at 0-5 °C produces a compound 'C' which on treatment with CuCN/NaCN produces 'D'. Hydrolysis of 'D' produces 'E' which is also obtainable from the hydrolysis of 'A'. 'E' on treatment with acidified KMnO4 produces 'F'. 'F' contains two different types of hydrogen atoms. The structure of 'A' is
- A. CH3CONHC6H5
- B. C6H5CH2CONH2
- C. C6H5NHCOCH3
- D. p-CH3C6H4NH2
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Q67
CHEMISTRY
Unit 16: Organic Compounds Containing Halogens
The correct order of the rate of reaction of the following reactants with nucleophile by SN1 mechanism is : (Given : Structure I and II are rigid)
- A. IV < III < II < I
- B. III < I < II < IV
- C. II < I < III < IV
- D. I < II < III < IV
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Q68
CHEMISTRY
Unit 10: p-Block Elements
Two p-block elements X and Y form fluorides of the type EF3. The fluoride compound XF3 is a Lewis acid and YF3 is a Lewis base. The hybridization of the central atoms of XF3 and YF3 respectively are
- A. Both sp3
- B. sp2 and sp3
- C. sp3 and sp2
- D. Both sp2
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Q69
CHEMISTRY
Unit 16: Organic Compounds Containing Halogens
As compared with chlorocyclohexane, which of the following statements correctly apply to chlorobenzene ? A. The magnitude of negative charge is more on chlorine atoms. B. The C-Cl bond has partial double bond character. C. C-Cl bond is less polar. D. C-Cl bond is longer due to repulsion between delocalised electrons of the aromatic ring and lone pairs of electrons of chlorine. E. The C-Cl bond is formed using sp2 hybridised orbital of carbon. Choose the correct answer from the options given below :
- A. A, C and E only
- B. B, C and D only
- C. A, D and E only
- D. B, C and E only
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Q70
CHEMISTRY
Unit 5: Solutions
Given below are two statements: Statement I: The Henry's law constant KH is constant with respect to variations in solution's concentration over the range for which the solutions is ideally dilute. Statement II : KH does not differ for the same solute in different solvents. In the light of the above statements, choose the correct answer from the options.
- A. Statement I is false but Statement II is true.
- B. Statement I is true but Statement II is false.
- C. Both Statement I and Statement II are true.
- D. Both Statement I and Statement II are false.
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Q71
CHEMISTRY
Unit 15: Hydrocarbons
The cycloalkane (X) on bromination consumes one mole of bromine per mole of (X) and gives the product (Y) in which C:Br ratio is 3:1. The percentage of bromine in the product (Y) is ____ %. (Nearest integer) (Given : Molar mass in g mol–1 H : 1, C : 12, O : 16, Br : 80)
- A. 66
- B. 50
- C. 33
- D. 75
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Q72
CHEMISTRY
Unit 7: Redox Reactions and Electrochemistry
Consider the following electrochemical cell at 298 K: Pt | HSnO2- | Sn(OH)6^2- || Bi2O3(s) | Bi(s). If the reaction quotient at a given time is 10^6, then the cell EMF (Ecell) is x*10^-1 V. (Nearest integer). Given the standard half-cell reduction potential as E^0 Bi2O3/Bi = -0.44 V and E^0 Sn(OH)6^2-/HSnO2- = -0.90 V.
↻ Repeated question — also appeared in
2026 (1 set)
- A. 4
- B. 2
- C. 6
- D. 8
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Q73
CHEMISTRY
Unit 8: Chemical Kinetics
The temperature at which the rate constants of the given below two gaseous reactions become equal is ____ K. (Nearest integer). X -> Y (k1 = 10^6 * e^(-30000/T)); P -> Q (k2 = 10^4 * e^(-24000/T)). Given : ln 10 = 2.303
- A. 1303
- B. 1200
- C. 1405
- D. 1150
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Q73
CHEMISTRY
Unit 8: Chemical Kinetics
The temperature at which the rate constants of the two given gaseous reactions become equal is T K. Find the nearest integer T. Reactions: X -> Y (k1 = 10^6 * e^(-30000/T)), P -> Q (k2 = 10^4 * e^(-24000/T)).
- A. 1203
- B. 1303
- C. 1403
- D. 1503
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Q74
CHEMISTRY
Unit 13: Purification and Characterisation of Organic Compounds
Sodium fusion extract of an organic compound (Y) with CHCl3 and chlorine water gives violet color to the CHCl3 layer. 0.15 g of (Y) gave 0.12 g of the silver halide precipitate in Carius method. Percentage of halogen in the compound (Y) is ____%. (Nearest integer). Molar masses: C=12, H=1, Cl=35.5, Br=80, I=127.
- A. 41
- B. 42
- C. 43
- D. 44
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Q75
CHEMISTRY
Unit 6: Equilibrium
Dissociation of a gas A2 takes place according to A2(g) ⇌ 2A(g). At equilibrium, total pressure is 1 bar at 300 K. Given ΔG°f(A2) = -100.00 kJ/mol, ΔG°f(A) = -50.832 kJ/mol. The degree of dissociation α is given by (x * 10^-1)^1/2, where x is the nearest integer. [R = 8.3 J/mol K]
- A. 31
- B. 32
- C. 33
- D. 34
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