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WBJEE

WBJEE Practice Set 2

Original WBJEE-style full-length set with 155 unique questions: 75 Mathematics (Paper 1) and 80 Physics/Chemistry (Paper 2).

WBJEE

Exam Pattern & Rules

Total Questions
155
Total Marks
200
Duration
4 hours total (2 hours Paper 1 + 2 hours Paper 2)
Marking
Category 1: +1, Category 2/3: +2

Negative Marking: Category 1: -0.25, Category 2: -0.5, Category 3: none

Note: Paper 1 is Mathematics. Paper 2 is Physics + Chemistry.

Practice Set Details

Questions
140
Estimated Time
240 minutes

WBJEE Practice Set 2: all 140 questions with answers

Try each question first, then open “Show answer” to check the correct option and explanation.

  1. Q1.Solve for x: 7x + 10 = 66.

    • A.9
    • B.7
    • C.10
    • D.8
    Show answer

    Correct answer: D. 8

    Subtract 10 from both sides: 7x = 56. Divide by 7: x = 8.

  2. Q2.One root of x² − 18x + 80 = 0 is 8. The other root is:

    • A.9
    • B.18
    • C.10
    • D.11
    Show answer

    Correct answer: C. 10

    Product of roots = 80. Other root = 80 ÷ 8 = 10.

  3. Q3.The 8th term of an AP with first term 7 and common difference 7 is:

    • A.64
    • B.56
    • C.49
    • D.63
    Show answer

    Correct answer: B. 56

    aₙ = a + (n−1)d = 7 + 7×7 = 56.

  4. Q4.Slope of the line through (6, 7) and (9, 28) is:

    • A.7
    • B.8
    • C.6
    • D.9
    Show answer

    Correct answer: A. 7

    Slope = (28−7) ÷ (9−6) = 21 ÷ 3 = 7.

  5. Q5.Value of sin 90° is:

    • A.0
    • B.−1
    • C.1/2
    • D.1
    Show answer

    Correct answer: D. 1

    sin 90° = 1.

  6. Q6.A bag contains 8 red and 10 blue balls. Probability of drawing a red ball is:

    • A.8/17
    • B.11/19
    • C.8/18
    • D.10/19
    Show answer

    Correct answer: C. 8/18

    P(red) = 8/18.

  7. Q7.Determinant of matrix [[7, 1], [3, 8]] is:

    • A.23
    • B.53
    • C.58
    • D.50
    Show answer

    Correct answer: B. 53

    det = ad − bc = 7×8 − 1×3 = 53.

  8. Q8.Evaluate: log₂ₐₑₒₓ3(3^7) [log base 3].

    • A.7
    • B.8
    • C.6
    • D.21
    Show answer

    Correct answer: A. 7

    logₐ(a^n) = n, so log_3(3^7) = 7.

  9. Q9.Find 11P4.

    • A.1980
    • B.7928
    • C.7912
    • D.7920
    Show answer

    Correct answer: D. 7920

    11P4 = 11!/(11−4)! = 11×10×9×8 = 7920.

  10. Q10.Find 12C2.

    • A.69
    • B.63
    • C.66
    • D.24
    Show answer

    Correct answer: C. 66

    nC2 = n(n−1)/2 = 12×11/2 = 66.

  11. Q11.Simple interest on Rs 1500 at 9% p.a. for 3 years is:

    • A.Rs 810
    • B.Rs 405
    • C.Rs 675
    • D.Rs 270
    Show answer

    Correct answer: B. Rs 405

    SI = P×R×T/100 = 1500×9×3/100 = Rs 405.

  12. Q12.Area of a triangle with base 11 cm and height 9 cm is:

    • A.49.5 cm²
    • B.99 cm²
    • C.55.5 cm²
    • D.43.5 cm²
    Show answer

    Correct answer: A. 49.5 cm²

    Area = (1/2) × base × height = (1/2) × 11 × 9 = 49.5 cm².

  13. Q13.Solve for x: 8x + 11 = 83.

    • A.10
    • B.8
    • C.11
    • D.9
    Show answer

    Correct answer: D. 9

    Subtract 11 from both sides: 8x = 72. Divide by 8: x = 9.

  14. Q14.One root of x² − 21x + 108 = 0 is 9. The other root is:

    • A.11
    • B.21
    • C.12
    • D.13
    Show answer

    Correct answer: C. 12

    Product of roots = 108. Other root = 108 ÷ 9 = 12.

  15. Q15.The 9th term of an AP with first term 8 and common difference 8 is:

    • A.81
    • B.72
    • C.64
    • D.80
    Show answer

    Correct answer: B. 72

    aₙ = a + (n−1)d = 8 + 8×8 = 72.

  16. Q16.Slope of the line through (1, 8) and (4, 32) is:

    • A.8
    • B.9
    • C.7
    • D.10
    Show answer

    Correct answer: A. 8

    Slope = (32−8) ÷ (4−1) = 24 ÷ 3 = 8.

  17. Q17.Value of cos 90° is:

    • A.1
    • B.−1
    • C.1/2
    • D.0
    Show answer

    Correct answer: D. 0

    cos 90° = 0.

  18. Q18.A bag contains 9 red and 11 blue balls. Probability of drawing a red ball is:

    • A.9/19
    • B.12/21
    • C.9/20
    • D.11/21
    Show answer

    Correct answer: C. 9/20

    P(red) = 9/20.

  19. Q19.Determinant of matrix [[8, 2], [4, 9]] is:

    • A.26
    • B.64
    • C.69
    • D.61
    Show answer

    Correct answer: B. 64

    det = ad − bc = 8×9 − 2×4 = 64.

  20. Q20.Evaluate: log₂ₐₑₒₓ5(5^8) [log base 5].

    • A.8
    • B.9
    • C.7
    • D.40
    Show answer

    Correct answer: A. 8

    logₐ(a^n) = n, so log_5(5^8) = 8.

  21. Q21.Find 12P2.

    • A.66
    • B.136
    • C.128
    • D.132
    Show answer

    Correct answer: D. 132

    12P2 = 12!/(12−2)! = 12×11 = 132.

  22. Q22.Find 13C2.

    • A.81
    • B.75
    • C.78
    • D.26
    Show answer

    Correct answer: C. 78

    nC2 = n(n−1)/2 = 13×12/2 = 78.

  23. Q23.Simple interest on Rs 1700 at 10% p.a. for 4 years is:

    • A.Rs 1360
    • B.Rs 680
    • C.Rs 1080
    • D.Rs 480
    Show answer

    Correct answer: B. Rs 680

    SI = P×R×T/100 = 1700×10×4/100 = Rs 680.

  24. Q24.Area of a triangle with base 12 cm and height 10 cm is:

    • A.60 cm²
    • B.120 cm²
    • C.66 cm²
    • D.54 cm²
    Show answer

    Correct answer: A. 60 cm²

    Area = (1/2) × base × height = (1/2) × 12 × 10 = 60 cm².

  25. Q25.Solve for x: 2x + 12 = 32.

    • A.11
    • B.9
    • C.12
    • D.10
    Show answer

    Correct answer: D. 10

    Subtract 12 from both sides: 2x = 20. Divide by 2: x = 10.

  26. Q26.One root of x² − 24x + 140 = 0 is 10. The other root is:

    • A.13
    • B.24
    • C.14
    • D.15
    Show answer

    Correct answer: C. 14

    Product of roots = 140. Other root = 140 ÷ 10 = 14.

  27. Q27.The 10th term of an AP with first term 9 and common difference 2 is:

    • A.37
    • B.27
    • C.25
    • D.29
    Show answer

    Correct answer: B. 27

    aₙ = a + (n−1)d = 9 + 9×2 = 27.

  28. Q28.Slope of the line through (2, 2) and (5, 29) is:

    • A.9
    • B.10
    • C.8
    • D.11
    Show answer

    Correct answer: A. 9

    Slope = (29−2) ÷ (5−2) = 27 ÷ 3 = 9.

  29. Q29.Value of sin 45° is:

    • A.1/2
    • B.√3/2
    • C.1
    • D.1/√2
    Show answer

    Correct answer: D. 1/√2

    sin 45° = 1/√2.

  30. Q30.A bag contains 10 red and 12 blue balls. Probability of drawing a red ball is:

    • A.10/21
    • B.13/23
    • C.10/22
    • D.12/23
    Show answer

    Correct answer: C. 10/22

    P(red) = 10/22.

  31. Q31.Determinant of matrix [[2, 3], [5, 10]] is:

    • A.22
    • B.5
    • C.10
    • D.2
    Show answer

    Correct answer: B. 5

    det = ad − bc = 2×10 − 3×5 = 5.

  32. Q32.Evaluate: log₂ₐₑₒₓ10(10^2) [log base 10].

    • A.2
    • B.3
    • C.1
    • D.20
    Show answer

    Correct answer: A. 2

    logₐ(a^n) = n, so log_10(10^2) = 2.

  33. Q33.Find 13P3.

    • A.572
    • B.1722
    • C.1710
    • D.1716
    Show answer

    Correct answer: D. 1716

    13P3 = 13!/(13−3)! = 13×12×11 = 1716.

  34. Q34.Find 14C2.

    • A.94
    • B.88
    • C.91
    • D.28
    Show answer

    Correct answer: C. 91

    nC2 = n(n−1)/2 = 14×13/2 = 91.

  35. Q35.Simple interest on Rs 1900 at 11% p.a. for 5 years is:

    • A.Rs 2090
    • B.Rs 1045
    • C.Rs 1595
    • D.Rs 770
    Show answer

    Correct answer: B. Rs 1045

    SI = P×R×T/100 = 1900×11×5/100 = Rs 1045.

  36. Q36.Area of a triangle with base 13 cm and height 11 cm is:

    • A.71.5 cm²
    • B.143 cm²
    • C.77.5 cm²
    • D.65.5 cm²
    Show answer

    Correct answer: A. 71.5 cm²

    Area = (1/2) × base × height = (1/2) × 13 × 11 = 71.5 cm².

  37. Q37.Solve for x: 3x + 13 = 46.

    • A.12
    • B.10
    • C.13
    • D.11
    Show answer

    Correct answer: D. 11

    Subtract 13 from both sides: 3x = 33. Divide by 3: x = 11.

  38. Q38.One root of x² − 11x + 24 = 0 is 3. The other root is:

    • A.7
    • B.11
    • C.8
    • D.9
    Show answer

    Correct answer: C. 8

    Product of roots = 24. Other root = 24 ÷ 3 = 8.

  39. Q39.The 11th term of an AP with first term 10 and common difference 3 is:

    • A.51
    • B.40
    • C.37
    • D.43
    Show answer

    Correct answer: B. 40

    aₙ = a + (n−1)d = 10 + 10×3 = 40.

  40. Q40.Slope of the line through (3, 3) and (6, 9) is:

    • A.2
    • B.3
    • C.1
    • D.4
    Show answer

    Correct answer: A. 2

    Slope = (9−3) ÷ (6−3) = 6 ÷ 3 = 2.

  41. Q41.Value of cos 30° is:

    • A.1/2
    • B.1
    • C.1/√2
    • D.√3/2
    Show answer

    Correct answer: D. √3/2

    cos 30° = √3/2.

  42. Q42.A bag contains 3 red and 13 blue balls. Probability of drawing a red ball is:

    • A.3/15
    • B.14/17
    • C.3/16
    • D.13/17
    Show answer

    Correct answer: C. 3/16

    P(red) = 3/16.

  43. Q43.Determinant of matrix [[3, 4], [2, 3]] is:

    • A.13
    • B.1
    • C.6
    • D.-2
    Show answer

    Correct answer: B. 1

    det = ad − bc = 3×3 − 4×2 = 1.

  44. Q44.Evaluate: log₂ₐₑₒₓ2(2^3) [log base 2].

    • A.3
    • B.4
    • C.2
    • D.6
    Show answer

    Correct answer: A. 3

    logₐ(a^n) = n, so log_2(2^3) = 3.

  45. Q45.Find 6P4.

    • A.90
    • B.368
    • C.352
    • D.360
    Show answer

    Correct answer: D. 360

    6P4 = 6!/(6−4)! = 6×5×4×3 = 360.

  46. Q46.Find 15C2.

    • A.108
    • B.102
    • C.105
    • D.30
    Show answer

    Correct answer: C. 105

    nC2 = n(n−1)/2 = 15×14/2 = 105.

  47. Q47.Simple interest on Rs 2100 at 12% p.a. for 2 years is:

    • A.Rs 1008
    • B.Rs 504
    • C.Rs 744
    • D.Rs 384
    Show answer

    Correct answer: B. Rs 504

    SI = P×R×T/100 = 2100×12×2/100 = Rs 504.

  48. Q48.Area of a triangle with base 14 cm and height 12 cm is:

    • A.84 cm²
    • B.168 cm²
    • C.90 cm²
    • D.78 cm²
    Show answer

    Correct answer: A. 84 cm²

    Area = (1/2) × base × height = (1/2) × 14 × 12 = 84 cm².

  49. Q49.Solve for x: 4x + 5 = 53.

    • A.13
    • B.11
    • C.14
    • D.12
    Show answer

    Correct answer: D. 12

    Subtract 5 from both sides: 4x = 48. Divide by 4: x = 12.

  50. Q50.One root of x² − 14x + 40 = 0 is 4. The other root is:

    • A.9
    • B.14
    • C.10
    • D.11
    Show answer

    Correct answer: C. 10

    Product of roots = 40. Other root = 40 ÷ 4 = 10.

  51. Q51.The 12th term of an AP with first term 11 and common difference 4 is:

    • A.67
    • B.55
    • C.51
    • D.59
    Show answer

    Correct answer: B. 55

    aₙ = a + (n−1)d = 11 + 11×4 = 55.

  52. Q52.Slope of the line through (4, 4) and (7, 13) is:

    • A.3
    • B.4
    • C.2
    • D.5
    Show answer

    Correct answer: A. 3

    Slope = (13−4) ÷ (7−4) = 9 ÷ 3 = 3.

  53. Q53.Value of cos 45° is:

    • A.1/2
    • B.√3/2
    • C.1
    • D.1/√2
    Show answer

    Correct answer: D. 1/√2

    cos 45° = 1/√2.

  54. Q54.A bag contains 4 red and 5 blue balls. Probability of drawing a red ball is:

    • A.4/8
    • B.6/10
    • C.4/9
    • D.5/10
    Show answer

    Correct answer: C. 4/9

    P(red) = 4/9.

  55. Q55.Determinant of matrix [[4, 5], [3, 4]] is:

    • A.16
    • B.1
    • C.6
    • D.-2
    Show answer

    Correct answer: B. 1

    det = ad − bc = 4×4 − 5×3 = 1.

  56. Q56.Evaluate: log₂ₐₑₒₓ3(3^4) [log base 3].

    • A.4
    • B.5
    • C.3
    • D.12
    Show answer

    Correct answer: A. 4

    logₐ(a^n) = n, so log_3(3^4) = 4.

  57. Q57.Find 7P2.

    • A.21
    • B.46
    • C.38
    • D.42
    Show answer

    Correct answer: D. 42

    7P2 = 7!/(7−2)! = 7×6 = 42.

  58. Q58.Find 7C2.

    • A.24
    • B.18
    • C.21
    • D.14
    Show answer

    Correct answer: C. 21

    nC2 = n(n−1)/2 = 7×6/2 = 21.

  59. Q59.Simple interest on Rs 2300 at 4% p.a. for 3 years is:

    • A.Rs 552
    • B.Rs 276
    • C.Rs 396
    • D.Rs 216
    Show answer

    Correct answer: B. Rs 276

    SI = P×R×T/100 = 2300×4×3/100 = Rs 276.

  60. Q60.Area of a triangle with base 15 cm and height 4 cm is:

    • A.30 cm²
    • B.60 cm²
    • C.36 cm²
    • D.24 cm²
    Show answer

    Correct answer: A. 30 cm²

    Area = (1/2) × base × height = (1/2) × 15 × 4 = 30 cm².

  61. Q61.A body starts with velocity 7 m/s and has acceleration 7 m/s². Its velocity after 3 s is:

    • A.21 m/s
    • B.35 m/s
    • C.10 m/s
    • D.28 m/s
    Show answer

    Correct answer: D. 28 m/s

    v = u + at = 7 + 7×3 = 28 m/s.

  62. Q62.For u = 6 m/s, a = 2 m/s², t = 5 s, displacement is:

    • A.65 m
    • B.53 m
    • C.55 m
    • D.30 m
    Show answer

    Correct answer: C. 55 m

    s = ut + ½At² = 6×5 + 0.5×2×5² = 55 m.

  63. Q63.Net force needed to give 7 kg mass an acceleration of 8 m/s² is:

    • A.15 N
    • B.56 N
    • C.64 N
    • D.48 N
    Show answer

    Correct answer: B. 56 N

    F = ma = 7×8 = 56 N.

  64. Q64.Work done when force 35 N moves a body 8 m in its direction is:

    • A.280 J
    • B.315 J
    • C.245 J
    • D.43 J
    Show answer

    Correct answer: A. 280 J

    W = F×d = 35×8 = 280 J.

  65. Q65.A body does 350 J of work in 10 s. Its power is:

    • A.70 W
    • B.45 W
    • C.30 W
    • D.35 W
    Show answer

    Correct answer: D. 35 W

    P = W/t = 350/10 = 35 W.

  66. Q66.A body of mass 8 kg moves at 9 m/s. Its momentum is:

    • A.63 kg·m/s
    • B.17 kg·m/s
    • C.72 kg·m/s
    • D.80 kg·m/s
    Show answer

    Correct answer: C. 72 kg·m/s

    p = mv = 8×9 = 72 kg·m/s.

  67. Q67.Kinetic energy of 7 kg body moving at 9 m/s is:

    • A.276.5 J
    • B.283.5 J
    • C.63 J
    • D.346.5 J
    Show answer

    Correct answer: B. 283.5 J

    KE = ½mv² = 0.5×7×9² = 283.5 J.

  68. Q68.Voltage across a 8 Ω resistor carrying 7 A current is:

    • A.56 V
    • B.64 V
    • C.48 V
    • D.17 V
    Show answer

    Correct answer: A. 56 V

    V = IR = 7×8 = 56 V.

  69. Q69.Two resistors 9 Ω and 11 Ω connected in series. Total resistance is:

    • A.99 Ω
    • B.2 Ω
    • C.22 Ω
    • D.20 Ω
    Show answer

    Correct answer: D. 20 Ω

    Series: R = R₁ + R₂ = 9 + 11 = 20 Ω.

  70. Q70.Power of a lens with focal length 70 cm is:

    • A.2.43 D
    • B.0.7 D
    • C.1.43 D
    • D.70 D
    Show answer

    Correct answer: C. 1.43 D

    P = 1/f = 1/0.7 m = 1.43 D.

  71. Q71.Wave speed for frequency 150 Hz and wavelength 7 m is:

    • A.157 m/s
    • B.1050 m/s
    • C.1200 m/s
    • D.980 m/s
    Show answer

    Correct answer: B. 1050 m/s

    v = fλ = 150×7 = 1050 m/s.

  72. Q72.Standard acceleration due to gravity at Earth's surface is:

    • A.9.8 m/s²
    • B.6.7 m/s²
    • C.11.2 m/s²
    • D.3.7 m/s²
    Show answer

    Correct answer: A. 9.8 m/s²

    g ≈ 9.8 m/s² at Earth's surface.

  73. Q73.A body starts with velocity 8 m/s and has acceleration 8 m/s². Its velocity after 4 s is:

    • A.32 m/s
    • B.48 m/s
    • C.12 m/s
    • D.40 m/s
    Show answer

    Correct answer: D. 40 m/s

    v = u + at = 8 + 8×4 = 40 m/s.

  74. Q74.For u = 1 m/s, a = 3 m/s², t = 6 s, displacement is:

    • A.78 m
    • B.57 m
    • C.60 m
    • D.6 m
    Show answer

    Correct answer: C. 60 m

    s = ut + ½At² = 1×6 + 0.5×3×6² = 60 m.

  75. Q75.Net force needed to give 8 kg mass an acceleration of 9 m/s² is:

    • A.17 N
    • B.72 N
    • C.81 N
    • D.63 N
    Show answer

    Correct answer: B. 72 N

    F = ma = 8×9 = 72 N.

  76. Q76.Work done when force 40 N moves a body 9 m in its direction is:

    • A.360 J
    • B.400 J
    • C.320 J
    • D.49 J
    Show answer

    Correct answer: A. 360 J

    W = F×d = 40×9 = 360 J.

  77. Q77.A body does 400 J of work in 5 s. Its power is:

    • A.160 W
    • B.85 W
    • C.75 W
    • D.80 W
    Show answer

    Correct answer: D. 80 W

    P = W/t = 400/5 = 80 W.

  78. Q78.A body of mass 9 kg moves at 10 m/s. Its momentum is:

    • A.80 kg·m/s
    • B.19 kg·m/s
    • C.90 kg·m/s
    • D.99 kg·m/s
    Show answer

    Correct answer: C. 90 kg·m/s

    p = mv = 9×10 = 90 kg·m/s.

  79. Q79.Kinetic energy of 8 kg body moving at 10 m/s is:

    • A.392 J
    • B.400 J
    • C.80 J
    • D.480 J
    Show answer

    Correct answer: B. 400 J

    KE = ½mv² = 0.5×8×10² = 400 J.

  80. Q80.Voltage across a 9 Ω resistor carrying 8 A current is:

    • A.72 V
    • B.81 V
    • C.63 V
    • D.19 V
    Show answer

    Correct answer: A. 72 V

    V = IR = 8×9 = 72 V.

  81. Q81.Two resistors 10 Ω and 12 Ω connected in series. Total resistance is:

    • A.120 Ω
    • B.2 Ω
    • C.24 Ω
    • D.22 Ω
    Show answer

    Correct answer: D. 22 Ω

    Series: R = R₁ + R₂ = 10 + 12 = 22 Ω.

  82. Q82.Power of a lens with focal length 80 cm is:

    • A.2.25 D
    • B.0.8 D
    • C.1.25 D
    • D.80 D
    Show answer

    Correct answer: C. 1.25 D

    P = 1/f = 1/0.8 m = 1.25 D.

  83. Q83.Wave speed for frequency 170 Hz and wavelength 8 m is:

    • A.178 m/s
    • B.1360 m/s
    • C.1530 m/s
    • D.1280 m/s
    Show answer

    Correct answer: B. 1360 m/s

    v = fλ = 170×8 = 1360 m/s.

  84. Q84.Weight of a body in free fall is:

    • A.zero (apparent weight)
    • B.equal to mg
    • C.doubled
    • D.equal to mass
    Show answer

    Correct answer: A. zero (apparent weight)

    In free fall, normal reaction = 0 → apparent weight = 0.

  85. Q85.A body starts with velocity 9 m/s and has acceleration 2 m/s². Its velocity after 5 s is:

    • A.17 m/s
    • B.21 m/s
    • C.14 m/s
    • D.19 m/s
    Show answer

    Correct answer: D. 19 m/s

    v = u + at = 9 + 2×5 = 19 m/s.

  86. Q86.For u = 2 m/s, a = 4 m/s², t = 7 s, displacement is:

    • A.140 m
    • B.108 m
    • C.112 m
    • D.14 m
    Show answer

    Correct answer: C. 112 m

    s = ut + ½At² = 2×7 + 0.5×4×7² = 112 m.

  87. Q87.Net force needed to give 9 kg mass an acceleration of 3 m/s² is:

    • A.12 N
    • B.27 N
    • C.30 N
    • D.24 N
    Show answer

    Correct answer: B. 27 N

    F = ma = 9×3 = 27 N.

  88. Q88.Work done when force 45 N moves a body 10 m in its direction is:

    • A.450 J
    • B.495 J
    • C.405 J
    • D.55 J
    Show answer

    Correct answer: A. 450 J

    W = F×d = 45×10 = 450 J.

  89. Q89.A body does 450 J of work in 6 s. Its power is:

    • A.150 W
    • B.81 W
    • C.70 W
    • D.75 W
    Show answer

    Correct answer: D. 75 W

    P = W/t = 450/6 = 75 W.

  90. Q90.A body of mass 10 kg moves at 11 m/s. Its momentum is:

    • A.99 kg·m/s
    • B.21 kg·m/s
    • C.110 kg·m/s
    • D.120 kg·m/s
    Show answer

    Correct answer: C. 110 kg·m/s

    p = mv = 10×11 = 110 kg·m/s.

  91. Q91.Kinetic energy of 2 kg body moving at 11 m/s is:

    • A.119 J
    • B.121 J
    • C.22 J
    • D.143 J
    Show answer

    Correct answer: B. 121 J

    KE = ½mv² = 0.5×2×11² = 121 J.

  92. Q92.Voltage across a 10 Ω resistor carrying 9 A current is:

    • A.90 V
    • B.100 V
    • C.80 V
    • D.21 V
    Show answer

    Correct answer: A. 90 V

    V = IR = 9×10 = 90 V.

  93. Q93.Two resistors 11 Ω and 13 Ω connected in series. Total resistance is:

    • A.143 Ω
    • B.2 Ω
    • C.26 Ω
    • D.24 Ω
    Show answer

    Correct answer: D. 24 Ω

    Series: R = R₁ + R₂ = 11 + 13 = 24 Ω.

  94. Q94.Power of a lens with focal length 90 cm is:

    • A.2.11 D
    • B.0.9 D
    • C.1.11 D
    • D.90 D
    Show answer

    Correct answer: C. 1.11 D

    P = 1/f = 1/0.9 m = 1.11 D.

  95. Q95.Wave speed for frequency 190 Hz and wavelength 2 m is:

    • A.192 m/s
    • B.380 m/s
    • C.570 m/s
    • D.360 m/s
    Show answer

    Correct answer: B. 380 m/s

    v = fλ = 190×2 = 380 m/s.

  96. Q96.If both masses and distance are all doubled, gravitational force:

    • A.remains the same
    • B.doubles
    • C.quadruples
    • D.halves
    Show answer

    Correct answer: A. remains the same

    F ∝ m₁m₂/r². 4m₁m₂/(4r²) = original F.

  97. Q97.A body starts with velocity 2 m/s and has acceleration 3 m/s². Its velocity after 6 s is:

    • A.17 m/s
    • B.23 m/s
    • C.8 m/s
    • D.20 m/s
    Show answer

    Correct answer: D. 20 m/s

    v = u + at = 2 + 3×6 = 20 m/s.

  98. Q98.For u = 3 m/s, a = 5 m/s², t = 4 s, displacement is:

    • A.72 m
    • B.47 m
    • C.52 m
    • D.12 m
    Show answer

    Correct answer: C. 52 m

    s = ut + ½At² = 3×4 + 0.5×5×4² = 52 m.

  99. Q99.Net force needed to give 2 kg mass an acceleration of 4 m/s² is:

    • A.6 N
    • B.8 N
    • C.12 N
    • D.4 N
    Show answer

    Correct answer: B. 8 N

    F = ma = 2×4 = 8 N.

  100. Q100.Work done when force 50 N moves a body 3 m in its direction is:

    • A.150 J
    • B.200 J
    • C.100 J
    • D.53 J
    Show answer

    Correct answer: A. 150 J

    W = F×d = 50×3 = 150 J.

  101. Q101.If [H⁺] = 10⁻6 mol/L, the pH of the solution is:

    • A.7
    • B.8
    • C.5
    • D.6
    Show answer

    Correct answer: D. 6

    pH = −log[H⁺] = −log(10⁻6) = 6.

  102. Q102.Molar mass of HCl is:

    • A.37 g/mol
    • B.18 g/mol
    • C.36.5 g/mol
    • D.35.5 g/mol
    Show answer

    Correct answer: C. 36.5 g/mol

    Add atomic masses: molar mass of HCl = 36.5 g/mol.

  103. Q103.Oxidation state of oxygen in H₂O is:

    • A.−1
    • B.−2
    • C.+2
    • D.0
    Show answer

    Correct answer: B. −2

    H is +1 (×2), so O = −2.

  104. Q104.Formula of iron(III) chloride is:

    • A.FeCl₃
    • B.FeCl₂
    • C.Fe₃Cl
    • D.FeCl
    Show answer

    Correct answer: A. FeCl₃

    Fe(+3) needs 3 Cl(−1).

  105. Q105.Gas produced when Na reacts with water is:

    • A.oxygen
    • B.sodium oxide
    • C.hydroxide gas
    • D.hydrogen
    Show answer

    Correct answer: D. hydrogen

    2Na + 2H₂O → 2NaOH + H₂↑.

  106. Q106.Blue litmus paper turns red in:

    • A.neutral salt solution
    • B.distilled water
    • C.acid
    • D.base
    Show answer

    Correct answer: C. acid

    Acids turn blue litmus red.

  107. Q107.IUPAC name of CH₃OH is:

    • A.methanal
    • B.methanol
    • C.ethanol
    • D.propanol
    Show answer

    Correct answer: B. methanol

    CH₃OH is methanol.

  108. Q108.Which element has electronic configuration 2,8,7?

    • A.Chlorine
    • B.Fluorine
    • C.Bromine
    • D.Neon
    Show answer

    Correct answer: A. Chlorine

    2+8+7=17 protons → Cl.

  109. Q109.Number of moles in 40 g of NaOH (M = 40 g/mol) is:

    • A.2
    • B.3
    • C.2.5
    • D.1
    Show answer

    Correct answer: D. 1

    n = mass/M = 40/40 = 1 mol.

  110. Q110.Electron configuration of Na⁺ is:

    • A.1s²2s²2p⁶ 3s²
    • B.1s²2s²2p⁵
    • C.1s²2s²2p⁶
    • D.1s²2s²2p⁶ 3s¹
    Show answer

    Correct answer: C. 1s²2s²2p⁶

    Na loses 1e⁻ → 10 electrons (Ne config).

  111. Q111.Hybridisation of carbon in methane (CH₄) is:

    • A.dsp²
    • B.sp³
    • C.sp²
    • D.sp
    Show answer

    Correct answer: B. sp³

    CH₄ is tetrahedral; C is sp³ hybridised.

  112. Q112.Rust is chemically:

    • A.Fe₂O₃·xH₂O
    • B.FeO
    • C.Fe₃O₄
    • D.FeSO₄
    Show answer

    Correct answer: A. Fe₂O₃·xH₂O

    Rust = hydrated iron(III) oxide.

  113. Q113.If [H⁺] = 10⁻7 mol/L, the pH of the solution is:

    • A.8
    • B.9
    • C.6
    • D.7
    Show answer

    Correct answer: D. 7

    pH = −log[H⁺] = −log(10⁻7) = 7.

  114. Q114.Molar mass of NaOH is:

    • A.39 g/mol
    • B.42 g/mol
    • C.40 g/mol
    • D.23 g/mol
    Show answer

    Correct answer: C. 40 g/mol

    Add atomic masses: molar mass of NaOH = 40 g/mol.

  115. Q115.Oxidation state of nitrogen in HNO₃ is:

    • A.+4
    • B.+5
    • C.+3
    • D.−3
    Show answer

    Correct answer: B. +5

    H=+1, O=−2(×3), so N=+5.

  116. Q116.Formula of silver nitrate is:

    • A.AgNO₃
    • B.Ag₂NO₃
    • C.AgNO₂
    • D.AgNO₄
    Show answer

    Correct answer: A. AgNO₃

    Ag(+1) and NO₃⁻: AgNO₃.

  117. Q117.Gas evolved when limestone reacts with dilute HCl is:

    • A.hydrogen
    • B.sulfur dioxide
    • C.chlorine
    • D.carbon dioxide
    Show answer

    Correct answer: D. carbon dioxide

    CaCO₃ + 2HCl → CaCl₂ + H₂O + CO₂↑.

  118. Q118.Common name of NaHCO₃ is:

    • A.common salt
    • B.lime water
    • C.baking soda
    • D.washing soda
    Show answer

    Correct answer: C. baking soda

    NaHCO₃ = baking soda.

  119. Q119.IUPAC name of CH₃CHO is:

    • A.methanol
    • B.ethanal
    • C.ethanol
    • D.propanone
    Show answer

    Correct answer: B. ethanal

    CH₃CHO is ethanal (acetaldehyde).

  120. Q120.First element of the periodic table is:

    • A.Hydrogen
    • B.Helium
    • C.Lithium
    • D.Carbon
    Show answer

    Correct answer: A. Hydrogen

    Hydrogen has atomic number 1.

  121. Q121.Number of moles in 117 g of NaCl (M = 58.5 g/mol) is:

    • A.3
    • B.1
    • C.3.5
    • D.2
    Show answer

    Correct answer: D. 2

    n = mass/M = 117/58.5 = 2 mol.

  122. Q122.Maximum electrons in shell n=3 is:

    • A.6
    • B.32
    • C.18
    • D.8
    Show answer

    Correct answer: C. 18

    Max = 2n² = 18.

  123. Q123.Shape of BF₃ is:

    • A.pyramidal
    • B.trigonal planar
    • C.tetrahedral
    • D.linear
    Show answer

    Correct answer: B. trigonal planar

    3 bond pairs, no lone pairs → trigonal planar.

  124. Q124.Dry ice is:

    • A.solid CO₂
    • B.solid N₂
    • C.solid H₂O (below 0°C)
    • D.solid SO₂
    Show answer

    Correct answer: A. solid CO₂

    Dry ice = solid carbon dioxide.

  125. Q125.If [H⁺] = 10⁻8 mol/L, the pH of the solution is:

    • A.9
    • B.6
    • C.7
    • D.8
    Show answer

    Correct answer: D. 8

    pH = −log[H⁺] = −log(10⁻8) = 8.

  126. Q126.Molar mass of CH₄ is:

    • A.12 g/mol
    • B.18 g/mol
    • C.16 g/mol
    • D.14 g/mol
    Show answer

    Correct answer: C. 16 g/mol

    Add atomic masses: molar mass of CH₄ = 16 g/mol.

  127. Q127.Oxidation state of Mn in KMnO₄ is:

    • A.+6
    • B.+7
    • C.+2
    • D.+4
    Show answer

    Correct answer: B. +7

    K=+1, O=−2(×4), Mn=+7.

  128. Q128.Formula of barium sulfate is:

    • A.BaSO₄
    • B.Ba₂SO₄
    • C.BaSO₃
    • D.Ba(SO₄)₂
    Show answer

    Correct answer: A. BaSO₄

    Ba(+2) and SO₄²⁻: BaSO₄.

  129. Q129.Product when CaO (quicklime) reacts with water is:

    • A.CaCO₃
    • B.CaCl₂
    • C.Ca(HCO₃)₂
    • D.Ca(OH)₂
    Show answer

    Correct answer: D. Ca(OH)₂

    CaO + H₂O → Ca(OH)₂ (slaked lime).

  130. Q130.Chemical formula of washing soda is:

    • A.NaOH
    • B.Na₂SO₄
    • C.Na₂CO₃·10H₂O
    • D.NaHCO₃
    Show answer

    Correct answer: C. Na₂CO₃·10H₂O

    Washing soda = Na₂CO₃·10H₂O.

  131. Q131.IUPAC name of CH₃COCH₃ is:

    • A.propanol
    • B.propan-2-one
    • C.propan-1-one
    • D.propanal
    Show answer

    Correct answer: B. propan-2-one

    CH₃COCH₃ (acetone) = propan-2-one.

  132. Q132.Transition metals belong to which block?

    • A.d-block
    • B.s-block
    • C.p-block
    • D.f-block
    Show answer

    Correct answer: A. d-block

    Transition elements have partly-filled d orbitals.

  133. Q133.Number of moles in 84 g of CO (M = 28 g/mol) is:

    • A.4
    • B.2
    • C.4.5
    • D.3
    Show answer

    Correct answer: D. 3

    n = mass/M = 84/28 = 3 mol.

  134. Q134.Electron configuration of Cl⁻ is:

    • A.1s²2s²2p⁶ 3s²3p⁶ 3d¹
    • B.1s²2s²2p⁶ 3s²
    • C.1s²2s²2p⁶ 3s²3p⁶
    • D.1s²2s²2p⁶ 3s²3p⁵
    Show answer

    Correct answer: C. 1s²2s²2p⁶ 3s²3p⁶

    Cl gains 1e⁻ → 18 electrons (Ar config).

  135. Q135.Hybridisation of carbon in ethene (C₂H₄) is:

    • A.dsp²
    • B.sp²
    • C.sp³
    • D.sp
    Show answer

    Correct answer: B. sp²

    C=C double bond; each C is sp² hybridised.

  136. Q136.Lime water turns milky when CO₂ is passed due to formation of:

    • A.CaCO₃
    • B.Ca(OH)₂ dissolves
    • C.CaO
    • D.Ca(HCO₃)₂
    Show answer

    Correct answer: A. CaCO₃

    CO₂ + Ca(OH)₂ → CaCO₃↓ + H₂O.

  137. Q137.If [H⁺] = 10⁻9 mol/L, the pH of the solution is:

    • A.10
    • B.5
    • C.8
    • D.9
    Show answer

    Correct answer: D. 9

    pH = −log[H⁺] = −log(10⁻9) = 9.

  138. Q138.Molar mass of CaCO₃ is:

    • A.98 g/mol
    • B.102 g/mol
    • C.100 g/mol
    • D.80 g/mol
    Show answer

    Correct answer: C. 100 g/mol

    Add atomic masses: molar mass of CaCO₃ = 100 g/mol.

  139. Q139.Oxidation state of Cr in K₂Cr₂O₇ is:

    • A.+2
    • B.+6
    • C.+3
    • D.+4
    Show answer

    Correct answer: B. +6

    2K(+1)+2Cr+7O(−2)=0 → Cr=+6.

  140. Q140.Formula of zinc hydroxide is:

    • A.Zn(OH)₂
    • B.ZnOH
    • C.Zn₂OH
    • D.ZnO
    Show answer

    Correct answer: A. Zn(OH)₂

    Zn(+2) and OH(−1): Zn(OH)₂.

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WBJEE Practice Set 2 - Engineering Entrance Practice