Daily MCQ Paper — 27 April 2026

April 27, 2026 ·

📝 Online Quiz Engine

Daily Practice Sheet — 50 Questions

Take this quiz online with timer, mark-for-review, instant scorecard, percentile, and per-question explanations. CLAT scoring scheme: +1 / -0.25.

Daily MCQ Paper — 27 April 2026

50 questions across all sections. Use the practice interface to attempt; review answers and explanations after submission.

Q1. For a solid sphere rolling without slipping, the ratio of rotational KE to total KE is
1. 2/5
2. 2/7
3. 5/7
4. 1/2
Q2. Kepler's third law states T^2 is proportional to
1. a
2. a^2
3. a^3
4. 1/a
Q3. Escape velocity from Earth's surface is approximately
1. 7.9 km/s
2. 11.2 km/s
3. 13.6 km/s
4. 9.8 km/s
Q4. By the parallel axis theorem, the moment of inertia about an axis distance d from the centre of mass is
1. I_cm + Md
2. I_cm + Md^2
3. I_cm – Md^2
4. I_cm × Md^2
Q5. On a p-V diagram, the area under an isothermal expansion equals
1. Internal energy change
2. Work done by the gas
3. Heat absorbed only
4. Both work and heat (since ΔU=0)
Q6. The efficiency of a Carnot engine operating between T_h = 600 K and T_c = 300 K is
1. 25%
2. 40%
3. 50%
4. 75%
Q7. The rotational KE of a flywheel of moment of inertia I and angular velocity ω is
1. Iω
2. Iω/2
3. ½Iω²
4. I²ω
Q8. Bernoulli's equation is essentially conservation of
1. Mass
2. Momentum
3. Energy in fluids
4. Charge
Q9. The terminal velocity of a sphere in a viscous fluid is proportional to
1. r
2. r^2
3. 1/r
4. r^3
Q10. The acceleration due to gravity at height h above Earth's surface (h<<R) is approximately
1. g(1 – 2h/R)
2. g(1 + 2h/R)
3. g(1 – h/R)
4. g(1 + h/R)
Q11. A body is projected with velocity 20 m/s at 60° to horizontal. Time of flight (g=10):
1. 2 s
2. 3.46 s
3. 4 s
4. 1.73 s
Q12. Frequency of LC circuit (L=1 mH, C=1 µF) is approximately
1. 5.03 kHz
2. 5 kHz
3. 15.9 kHz
4. 159 Hz
Q13. Half-life of a sample is 5 years. Fraction remaining after 15 years
1. 1/2
2. 1/4
3. 1/8
4. 1/16
Q14. A particle in SHM has amplitude 5 cm and frequency 2 Hz. Maximum velocity is
1. 10*pi cm/s
2. 20*pi cm/s
3. 5*pi cm/s
4. 40*pi cm/s
Q15. A wire of resistance R is stretched to double its length. New resistance is
1. R
2. 2R
3. 4R
4. R/2
Q16. The work done in moving a charge in equipotential surface is
1. Maximum
2. Zero
3. Negative
4. Depends on path
Q17. In SHM, when displacement is half the amplitude, the ratio KE:PE is
1. 1:1
2. 3:1
3. 1:3
4. 2:1
Q18. Brown ring test confirms
1. NO2-
2. NO3-
3. Cl-
4. SO4^2-
Q19. Nylon 6,6 is a
1. Addition polymer
2. Condensation polymer of hexamethylenediamine and adipic acid
3. Natural polymer
4. Vulcanised rubber
Q20. Bakelite is a polymer of
1. Phenol + formaldehyde
2. Urea + formaldehyde
3. Vinyl chloride
4. Styrene + butadiene
Q21. In salt analysis, white precipitate of AgCl, soluble in NH4OH, indicates
1. Cl-
2. Br-
3. I-
4. SO4^2-
Q22. Glucose and fructose are linked by which bond in sucrose?
1. α(1→4) glycosidic
2. α(1→2)β glycosidic
3. β(1→4) glycosidic
4. peptide
Q23. DNA differs from RNA in having
1. Ribose sugar
2. Uracil
3. Deoxyribose sugar and thymine
4. Single strand
Q24. Peptide bond between amino acids is a
1. C-N bond formed by condensation
2. C-O bond
3. C-C bond
4. S-S bond
Q25. Lyophobic colloids are stabilised by
1. Hydration
2. Charge on dispersed particles
3. Solvent affinity
4. Salting out
Q26. Among HClO, HClO2, HClO3, HClO4, the strongest acid is
1. HClO
2. HClO2
3. HClO3
4. HClO4
Q27. Adsorption of a gas on solid is generally
1. Endothermic
2. Exothermic
3. Athermic
4. Variable
Q28. Number of stereoisomers of a molecule with 2 chiral centers (no meso)
1. 2
2. 3
3. 4
4. 8
Q29. Bond order of O₂ from MO theory
1. 1
2. 1.5
3. 2
4. 2.5
Q30. Which gas is liberated at the anode during electrolysis of dilute H2SO4?
1. H2
2. O2
3. SO2
4. Cl2
Q31. Markovnikov's rule applies to
1. Free-radical addition
2. Electrophilic addition to alkenes
3. Nucleophilic substitution
4. Elimination
Q32. Aldol condensation involves
1. α-hydrogen of carbonyl
2. β-hydrogen
3. OH group
4. Carbonyl O
Q33. EMF of a Daniell cell (Zn|Zn2+ || Cu2+|Cu) under standard conditions is approximately
1. +0.34 V
2. +0.76 V
3. +1.10 V
4. +1.50 V
Q34. Equilibrium constant Kp for a reaction with Δn=0
1. Kc
2. Kc·RT
3. Kc/(RT)
4. 0
Q35. If A is a 3×3 matrix with |A| = 5, then |adj A| =
1. 5
2. 25
3. 125
4. 1/5
Q36. The rank of an n×n non-singular matrix is
1. 0
2. 1
3. n-1
4. n
Q37. By De Moivre's theorem, (cos θ + i sin θ)^n =
1. cos nθ + i sin nθ
2. cos θ + i sin nθ
3. cos nθ – i sin nθ
4. n(cos θ + i sin θ)
Q38. Cramer's rule applies when
1. |A| = 0
2. |A| ≠ 0
3. A is singular
4. A is rectangular
Q39. The locus of |z – 2| = |z + 2| in the complex plane is
1. Circle
2. Real axis
3. Imaginary axis
4. Parabola
Q40. The number of permutations of letters of "MATHS" is
1. 60
2. 120
3. 5
4. 25
Q41. Coefficient of x^4 in (1 + x)^10 is
1. C(10,3)
2. C(10,4)
3. C(10,5)
4. 10!/4!
Q42. By multinomial theorem, the number of terms in (x + y + z)^n is
1. n + 1
2. n+2 choose 2
3. n+1 choose 2
4. n^2
Q43. Variance of n observations equals
1. Mean of squares – square of mean
2. Square of mean – mean of squares
3. Mean of squares only
4. Always 0
Q44. In linear regression Y = a + bX, the slope b equals
1. Cov(X,Y)/Var(Y)
2. Cov(X,Y)/Var(X)
3. Var(X)/Cov(X,Y)
4. r
Q45. Probability of getting a head and a 6 with one coin and one die
1. 1/12
2. 1/6
3. 1/2
4. 1/3
Q46. integral of (1/x) dx =
1. x
2. ln|x|+C
3. 1/x2
4. x*ln x
Q47. Eccentricity of a parabola is
1. 0
2. <1
3. =1
4. >1
Q48. Solution of dy/dx = y is
1. y = e^x + C
2. y = Ce^x
3. y = ln x + C
4. y = x²
Q49. cos(60°) =
1. ½
2. √3/2
3. 1/√2
4. 1
Q50. Maximum value of y = sin x + cos x is
1. 1
2. √2
3. 2
4. √3