Daily MCQ Paper — 28 April 2026

April 28, 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 — 28 April 2026

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

Q1. 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
Q2. The terminal velocity of a sphere in a viscous fluid is proportional to
1. r
2. r^2
3. 1/r
4. r^3
Q3. 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
Q4. 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
Q5. Bernoulli's equation is essentially conservation of
1. Mass
2. Momentum
3. Energy in fluids
4. Charge
Q6. Kepler's third law states T^2 is proportional to
1. a
2. a^2
3. a^3
4. 1/a
Q7. 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%
Q8. 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
Q9. 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)
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. Critical angle for glass-air interface (n=1.5) is approximately
1. 30 deg
2. 42 deg
3. 60 deg
4. 48 deg
Q12. A 2 kg block slides down a frictionless incline of 30°. Acceleration is
1. 5 m/s²
2. 9.8 m/s²
3. 4.9 m/s²
4. 7 m/s²
Q13. A NAND gate output is HIGH unless
1. Both inputs LOW
2. Both inputs HIGH
3. Either input HIGH
4. Either input LOW
Q14. In an AC circuit V = V0 sin(ωt) and I = I0 sin(ωt – π/2), the average power is
1. V0I0/2
2. V0I0
3. Zero
4. V0I0/√2
Q15. Bohr radius a0 for hydrogen-like atom of Z=2 is
1. a0
2. a0/2
3. 2*a0
4. 4*a0
Q16. Coefficient of restitution e=1 corresponds to
1. Inelastic
2. Perfectly elastic
3. Perfectly inelastic
4. Cannot say
Q17. Wave function of a free particle is solution of which equation?
1. Newton's 2nd law
2. Schrödinger equation
3. Maxwell's equation
4. Continuity equation
Q18. In salt analysis, white precipitate of AgCl, soluble in NH4OH, indicates
1. Cl-
2. Br-
3. I-
4. SO4^2-
Q19. Brown ring test confirms
1. NO2-
2. NO3-
3. Cl-
4. SO4^2-
Q20. Nylon 6,6 is a
1. Addition polymer
2. Condensation polymer of hexamethylenediamine and adipic acid
3. Natural polymer
4. Vulcanised rubber
Q21. Bakelite is a polymer of
1. Phenol + formaldehyde
2. Urea + formaldehyde
3. Vinyl chloride
4. Styrene + butadiene
Q22. Among HClO, HClO2, HClO3, HClO4, the strongest acid is
1. HClO
2. HClO2
3. HClO3
4. HClO4
Q23. 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
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. Adsorption of a gas on solid is generally
1. Endothermic
2. Exothermic
3. Athermic
4. Variable
Q26. DNA differs from RNA in having
1. Ribose sugar
2. Uracil
3. Deoxyribose sugar and thymine
4. Single strand
Q27. Lyophobic colloids are stabilised by
1. Hydration
2. Charge on dispersed particles
3. Solvent affinity
4. Salting out
Q28. Number of moles in 22 g of CO₂ (M=44)
1. 0.5
2. 1
3. 2
4. 0.25
Q29. Which has the highest first ionisation energy?
1. Na
2. Mg
3. Al
4. Si
Q30. The IUPAC name of CH3-CH(OH)-CH3 is
1. Propan-1-ol
2. Propan-2-ol
3. 2-Methylpropanol
4. Isopropanal
Q31. Which is a Lewis acid?
1. NH₃
2. BF₃
3. H₂O
4. OH⁻
Q32. Number of stereoisomers possible for 2-bromobutane is
1. 1
2. 2
3. 3
4. 4
Q33. Aldol condensation involves
1. α-hydrogen of carbonyl
2. β-hydrogen
3. OH group
4. Carbonyl O
Q34. The pH of 0.001 M HCl is
1. 2
2. 3
3. 4
4. 11
Q35. If A is a 3×3 matrix with |A| = 5, then |adj A| =
1. 5
2. 25
3. 125
4. 1/5
Q36. Cramer's rule applies when
1. |A| = 0
2. |A| ≠ 0
3. A is singular
4. A is rectangular
Q37. The rank of an n×n non-singular matrix is
1. 0
2. 1
3. n-1
4. n
Q38. Coefficient of x^4 in (1 + x)^10 is
1. C(10,3)
2. C(10,4)
3. C(10,5)
4. 10!/4!
Q39. 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)
Q40. The number of permutations of letters of "MATHS" is
1. 60
2. 120
3. 5
4. 25
Q41. The locus of |z – 2| = |z + 2| in the complex plane is
1. Circle
2. Real axis
3. Imaginary axis
4. Parabola
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. Sum of roots of x² − 5x + 6 = 0
1. 5
2. 6
3. -5
4. -6
Q46. cos(60°) =
1. ½
2. √3/2
3. 1/√2
4. 1
Q47. The slope of tangent to y=x^3 at x=2 is
1. 6
2. 8
3. 12
4. 24
Q48. Slope of tangent to y = ln x at x = 1 is
1. 0
2. 1
3. e
4. undefined
Q49. If sinθ = 3/5 in QI, then cosθ =
1. 3/5
2. 4/5
3. 5/3
4. 5/4
Q50. 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