KCET Practice Set 4
Original KCET-style full-length set with 180 unique questions: 60 mathematics, 60 physics, and 60 chemistry.
Exam Pattern & Rules
Negative Marking: No negative marking
Note: 60 questions each in Mathematics, Physics, and Chemistry.
Practice Set Details
KCET Practice Set 4: all 180 questions with answers
Try each question first, then open “Show answer” to check the correct option and explanation.
Q1.Solve for x: 3x + 11 = 35.
- A.9
- B.7
- C.10
- D.8
Show answer
Correct answer: D. 8
Subtract 11 from both sides: 3x = 24. Divide by 3: x = 8.
Q2.One root of x² − 22x + 120 = 0 is 10. The other root is:
- A.11
- B.22
- C.12
- D.13
Show answer
Correct answer: C. 12
Product of roots = 120. Other root = 120 ÷ 10 = 12.
Q3.The 8th term of an AP with first term 7 and common difference 3 is:
- A.36
- B.28
- C.25
- D.31
Show answer
Correct answer: B. 28
aₙ = a + (n−1)d = 7 + 7×3 = 28.
Q4.Slope of the line through (4, 3) and (7, 30) is:
- A.9
- B.10
- C.8
- D.11
Show answer
Correct answer: A. 9
Slope = (30−3) ÷ (7−4) = 27 ÷ 3 = 9.
Q5.Value of sin 150° is:
- A.−1/2
- B.√3/2
- C.0
- D.1/2
Show answer
Correct answer: D. 1/2
sin 150° = sin 30° = 1/2.
Q6.A bag contains 10 red and 11 blue balls. Probability of drawing a red ball is:
- A.10/20
- B.12/22
- C.10/21
- D.11/22
Show answer
Correct answer: C. 10/21
P(red) = 10/21.
Q7.Determinant of matrix [[3, 1], [5, 10]] is:
- A.23
- B.25
- C.30
- D.22
Show answer
Correct answer: B. 25
det = ad − bc = 3×10 − 1×5 = 25.
Q8.Evaluate: log₂ₐₑₒₓ10(10^3) [log base 10].
- A.3
- B.4
- C.2
- D.30
Show answer
Correct answer: A. 3
logₐ(a^n) = n, so log_10(10^3) = 3.
Q9.Find 13P2.
- A.78
- B.160
- C.152
- D.156
Show answer
Correct answer: D. 156
13P2 = 13!/(13−2)! = 13×12 = 156.
Q10.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.
Q11.Simple interest on Rs 3500 at 10% p.a. for 5 years is:
- A.Rs 3500
- B.Rs 1750
- C.Rs 2250
- D.Rs 1500
Show answer
Correct answer: B. Rs 1750
SI = P×R×T/100 = 3500×10×5/100 = Rs 1750.
Q12.Area of a triangle with base 11 cm and height 10 cm is:
- A.55 cm²
- B.110 cm²
- C.61 cm²
- D.49 cm²
Show answer
Correct answer: A. 55 cm²
Area = (1/2) × base × height = (1/2) × 11 × 10 = 55 cm².
Q13.Solve for x: 4x + 12 = 48.
- A.10
- B.8
- C.11
- D.9
Show answer
Correct answer: D. 9
Subtract 12 from both sides: 4x = 36. Divide by 4: x = 9.
Q14.One root of x² − 9x + 18 = 0 is 3. The other root is:
- A.5
- B.9
- C.6
- D.7
Show answer
Correct answer: C. 6
Product of roots = 18. Other root = 18 ÷ 3 = 6.
Q15.The 9th term of an AP with first term 8 and common difference 4 is:
- A.49
- B.40
- C.36
- D.44
Show answer
Correct answer: B. 40
aₙ = a + (n−1)d = 8 + 8×4 = 40.
Q16.Slope of the line through (5, 4) and (8, 10) is:
- A.2
- B.3
- C.1
- D.4
Show answer
Correct answer: A. 2
Slope = (10−4) ÷ (8−5) = 6 ÷ 3 = 2.
Q17.Value of cos 150° is:
- A.√3/2
- B.−1/2
- C.0
- D.−√3/2
Show answer
Correct answer: D. −√3/2
cos 150° = −√3/2.
Q18.A bag contains 3 red and 12 blue balls. Probability of drawing a red ball is:
- A.3/14
- B.13/16
- C.3/15
- D.12/16
Show answer
Correct answer: C. 3/15
P(red) = 3/15.
Q19.Determinant of matrix [[4, 2], [2, 3]] is:
- A.14
- B.8
- C.13
- D.5
Show answer
Correct answer: B. 8
det = ad − bc = 4×3 − 2×2 = 8.
Q20.Evaluate: log₂ₐₑₒₓ2(2^4) [log base 2].
- A.4
- B.5
- C.3
- D.8
Show answer
Correct answer: A. 4
logₐ(a^n) = n, so log_2(2^4) = 4.
Q21.Find 6P3.
- A.40
- B.126
- C.114
- D.120
Show answer
Correct answer: D. 120
6P3 = 6!/(6−3)! = 6×5×4 = 120.
Q22.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.
Q23.Simple interest on Rs 3700 at 11% p.a. for 2 years is:
- A.Rs 1628
- B.Rs 814
- C.Rs 1034
- D.Rs 704
Show answer
Correct answer: B. Rs 814
SI = P×R×T/100 = 3700×11×2/100 = Rs 814.
Q24.Area of a triangle with base 12 cm and height 11 cm is:
- A.66 cm²
- B.132 cm²
- C.72 cm²
- D.60 cm²
Show answer
Correct answer: A. 66 cm²
Area = (1/2) × base × height = (1/2) × 12 × 11 = 66 cm².
Q25.Solve for x: 5x + 13 = 63.
- A.11
- B.9
- C.12
- D.10
Show answer
Correct answer: D. 10
Subtract 13 from both sides: 5x = 50. Divide by 5: x = 10.
Q26.One root of x² − 12x + 32 = 0 is 4. The other root is:
- A.7
- B.12
- C.8
- D.9
Show answer
Correct answer: C. 8
Product of roots = 32. Other root = 32 ÷ 4 = 8.
Q27.The 10th term of an AP with first term 9 and common difference 5 is:
- A.64
- B.54
- C.49
- D.59
Show answer
Correct answer: B. 54
aₙ = a + (n−1)d = 9 + 9×5 = 54.
Q28.Slope of the line through (6, 5) and (9, 14) is:
- A.3
- B.4
- C.2
- D.5
Show answer
Correct answer: A. 3
Slope = (14−5) ÷ (9−6) = 9 ÷ 3 = 3.
Q29.Value of sin 180° is:
- A.1
- B.−1
- C.1/2
- D.0
Show answer
Correct answer: D. 0
sin 180° = 0.
Q30.A bag contains 4 red and 13 blue balls. Probability of drawing a red ball is:
- A.4/16
- B.14/18
- C.4/17
- D.13/18
Show answer
Correct answer: C. 4/17
P(red) = 4/17.
Q31.Determinant of matrix [[5, 3], [3, 4]] is:
- A.17
- B.11
- C.16
- D.8
Show answer
Correct answer: B. 11
det = ad − bc = 5×4 − 3×3 = 11.
Q32.Evaluate: log₂ₐₑₒₓ3(3^5) [log base 3].
- A.5
- B.6
- C.4
- D.15
Show answer
Correct answer: A. 5
logₐ(a^n) = n, so log_3(3^5) = 5.
Q33.Find 7P4.
- A.210
- B.848
- C.832
- D.840
Show answer
Correct answer: D. 840
7P4 = 7!/(7−4)! = 7×6×5×4 = 840.
Q34.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.
Q35.Simple interest on Rs 3900 at 12% p.a. for 3 years is:
- A.Rs 2808
- B.Rs 1404
- C.Rs 1764
- D.Rs 1224
Show answer
Correct answer: B. Rs 1404
SI = P×R×T/100 = 3900×12×3/100 = Rs 1404.
Q36.Area of a triangle with base 13 cm and height 12 cm is:
- A.78 cm²
- B.156 cm²
- C.84 cm²
- D.72 cm²
Show answer
Correct answer: A. 78 cm²
Area = (1/2) × base × height = (1/2) × 13 × 12 = 78 cm².
Q37.Solve for x: 6x + 5 = 71.
- A.12
- B.10
- C.13
- D.11
Show answer
Correct answer: D. 11
Subtract 5 from both sides: 6x = 66. Divide by 6: x = 11.
Q38.One root of x² − 15x + 50 = 0 is 5. The other root is:
- A.9
- B.15
- C.10
- D.11
Show answer
Correct answer: C. 10
Product of roots = 50. Other root = 50 ÷ 5 = 10.
Q39.The 11th term of an AP with first term 10 and common difference 6 is:
- A.81
- B.70
- C.64
- D.76
Show answer
Correct answer: B. 70
aₙ = a + (n−1)d = 10 + 10×6 = 70.
Q40.Slope of the line through (1, 6) and (4, 18) is:
- A.4
- B.5
- C.3
- D.6
Show answer
Correct answer: A. 4
Slope = (18−6) ÷ (4−1) = 12 ÷ 3 = 4.
Q41.Value of cos 180° is:
- A.0
- B.1
- C.−1/2
- D.−1
Show answer
Correct answer: D. −1
cos 180° = −1.
Q42.A bag contains 5 red and 5 blue balls. Probability of drawing a red ball is:
- A.5/9
- B.6/11
- C.5/10
- D.5/11
Show answer
Correct answer: C. 5/10
P(red) = 5/10.
Q43.Determinant of matrix [[6, 4], [4, 5]] is:
- A.20
- B.14
- C.19
- D.11
Show answer
Correct answer: B. 14
det = ad − bc = 6×5 − 4×4 = 14.
Q44.Evaluate: log₂ₐₑₒₓ5(5^6) [log base 5].
- A.6
- B.7
- C.5
- D.30
Show answer
Correct answer: A. 6
logₐ(a^n) = n, so log_5(5^6) = 6.
Q45.Find 8P2.
- A.28
- B.60
- C.52
- D.56
Show answer
Correct answer: D. 56
8P2 = 8!/(8−2)! = 8×7 = 56.
Q46.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.
Q47.Simple interest on Rs 4100 at 4% p.a. for 4 years is:
- A.Rs 1312
- B.Rs 656
- C.Rs 816
- D.Rs 576
Show answer
Correct answer: B. Rs 656
SI = P×R×T/100 = 4100×4×4/100 = Rs 656.
Q48.Area of a triangle with base 14 cm and height 4 cm is:
- A.28 cm²
- B.56 cm²
- C.34 cm²
- D.22 cm²
Show answer
Correct answer: A. 28 cm²
Area = (1/2) × base × height = (1/2) × 14 × 4 = 28 cm².
Q49.Solve for x: 7x + 6 = 90.
- A.13
- B.11
- C.14
- D.12
Show answer
Correct answer: D. 12
Subtract 6 from both sides: 7x = 84. Divide by 7: x = 12.
Q50.One root of x² − 18x + 72 = 0 is 6. The other root is:
- A.11
- B.18
- C.12
- D.13
Show answer
Correct answer: C. 12
Product of roots = 72. Other root = 72 ÷ 6 = 12.
Q51.The 12th term of an AP with first term 11 and common difference 7 is:
- A.100
- B.88
- C.81
- D.95
Show answer
Correct answer: B. 88
aₙ = a + (n−1)d = 11 + 11×7 = 88.
Q52.Slope of the line through (2, 7) and (5, 22) is:
- A.5
- B.6
- C.4
- D.7
Show answer
Correct answer: A. 5
Slope = (22−7) ÷ (5−2) = 15 ÷ 3 = 5.
Q53.Value of sin 270° is:
- A.0
- B.1
- C.−1/2
- D.−1
Show answer
Correct answer: D. −1
sin 270° = −1.
Q54.A bag contains 6 red and 6 blue balls. Probability of drawing a red ball is:
- A.6/11
- B.7/13
- C.6/12
- D.6/13
Show answer
Correct answer: C. 6/12
P(red) = 6/12.
Q55.Determinant of matrix [[7, 5], [5, 6]] is:
- A.23
- B.17
- C.22
- D.14
Show answer
Correct answer: B. 17
det = ad − bc = 7×6 − 5×5 = 17.
Q56.Evaluate: log₂ₐₑₒₓ10(10^7) [log base 10].
- A.7
- B.8
- C.6
- D.70
Show answer
Correct answer: A. 7
logₐ(a^n) = n, so log_10(10^7) = 7.
Q57.Find 9P3.
- A.168
- B.510
- C.498
- D.504
Show answer
Correct answer: D. 504
9P3 = 9!/(9−3)! = 9×8×7 = 504.
Q58.Find 8C2.
- A.31
- B.25
- C.28
- D.16
Show answer
Correct answer: C. 28
nC2 = n(n−1)/2 = 8×7/2 = 28.
Q59.Simple interest on Rs 4300 at 5% p.a. for 5 years is:
- A.Rs 2150
- B.Rs 1075
- C.Rs 1325
- D.Rs 950
Show answer
Correct answer: B. Rs 1075
SI = P×R×T/100 = 4300×5×5/100 = Rs 1075.
Q60.Area of a triangle with base 15 cm and height 5 cm is:
- A.37.5 cm²
- B.75 cm²
- C.43.5 cm²
- D.31.5 cm²
Show answer
Correct answer: A. 37.5 cm²
Area = (1/2) × base × height = (1/2) × 15 × 5 = 37.5 cm².
Q61.A body starts with velocity 9 m/s and has acceleration 3 m/s². Its velocity after 3 s is:
- A.15 m/s
- B.21 m/s
- C.12 m/s
- D.18 m/s
Show answer
Correct answer: D. 18 m/s
v = u + at = 9 + 3×3 = 18 m/s.
Q62.For u = 4 m/s, a = 2 m/s², t = 7 s, displacement is:
- A.91 m
- B.75 m
- C.77 m
- D.28 m
Show answer
Correct answer: C. 77 m
s = ut + ½At² = 4×7 + 0.5×2×7² = 77 m.
Q63.Net force needed to give 9 kg mass an acceleration of 4 m/s² is:
- A.13 N
- B.36 N
- C.40 N
- D.32 N
Show answer
Correct answer: B. 36 N
F = ma = 9×4 = 36 N.
Q64.Work done when force 25 N moves a body 10 m in its direction is:
- A.250 J
- B.275 J
- C.225 J
- D.35 J
Show answer
Correct answer: A. 250 J
W = F×d = 25×10 = 250 J.
Q65.A body does 850 J of work in 8 s. Its power is:
- A.212.5 W
- B.114.25 W
- C.101.25 W
- D.106.25 W
Show answer
Correct answer: D. 106.25 W
P = W/t = 850/8 = 106.25 W.
Q66.A body of mass 10 kg moves at 10 m/s. Its momentum is:
- A.90 kg·m/s
- B.20 kg·m/s
- C.100 kg·m/s
- D.110 kg·m/s
Show answer
Correct answer: C. 100 kg·m/s
p = mv = 10×10 = 100 kg·m/s.
Q67.Kinetic energy of 3 kg body moving at 11 m/s is:
- A.178.5 J
- B.181.5 J
- C.33 J
- D.214.5 J
Show answer
Correct answer: B. 181.5 J
KE = ½mv² = 0.5×3×11² = 181.5 J.
Q68.Voltage across a 9 Ω resistor carrying 9 A current is:
- A.81 V
- B.90 V
- C.71 V
- D.20 V
Show answer
Correct answer: A. 81 V
V = IR = 9×9 = 81 V.
Q69.Two resistors 11 Ω and 12 Ω connected in series. Total resistance is:
- A.132 Ω
- B.1 Ω
- C.25 Ω
- D.23 Ω
Show answer
Correct answer: D. 23 Ω
Series: R = R₁ + R₂ = 11 + 12 = 23 Ω.
Q70.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.
Q71.Wave speed for frequency 150 Hz and wavelength 3 m is:
- A.153 m/s
- B.450 m/s
- C.600 m/s
- D.420 m/s
Show answer
Correct answer: B. 450 m/s
v = fλ = 150×3 = 450 m/s.
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.
Q73.A body starts with velocity 2 m/s and has acceleration 4 m/s². Its velocity after 4 s is:
- A.14 m/s
- B.22 m/s
- C.6 m/s
- D.18 m/s
Show answer
Correct answer: D. 18 m/s
v = u + at = 2 + 4×4 = 18 m/s.
Q74.For u = 5 m/s, a = 3 m/s², t = 4 s, displacement is:
- A.56 m
- B.41 m
- C.44 m
- D.20 m
Show answer
Correct answer: C. 44 m
s = ut + ½At² = 5×4 + 0.5×3×4² = 44 m.
Q75.Net force needed to give 2 kg mass an acceleration of 5 m/s² is:
- A.7 N
- B.10 N
- C.15 N
- D.5 N
Show answer
Correct answer: B. 10 N
F = ma = 2×5 = 10 N.
Q76.Work done when force 30 N moves a body 3 m in its direction is:
- A.90 J
- B.120 J
- C.60 J
- D.33 J
Show answer
Correct answer: A. 90 J
W = F×d = 30×3 = 90 J.
Q77.A body does 900 J of work in 9 s. Its power is:
- A.200 W
- B.109 W
- C.95 W
- D.100 W
Show answer
Correct answer: D. 100 W
P = W/t = 900/9 = 100 W.
Q78.A body of mass 3 kg moves at 11 m/s. Its momentum is:
- A.22 kg·m/s
- B.14 kg·m/s
- C.33 kg·m/s
- D.36 kg·m/s
Show answer
Correct answer: C. 33 kg·m/s
p = mv = 3×11 = 33 kg·m/s.
Q79.Kinetic energy of 4 kg body moving at 4 m/s is:
- A.28 J
- B.32 J
- C.16 J
- D.48 J
Show answer
Correct answer: B. 32 J
KE = ½mv² = 0.5×4×4² = 32 J.
Q80.Voltage across a 10 Ω resistor carrying 2 A current is:
- A.20 V
- B.30 V
- C.17 V
- D.14 V
Show answer
Correct answer: A. 20 V
V = IR = 2×10 = 20 V.
Q81.Two resistors 4 Ω and 13 Ω connected in series. Total resistance is:
- A.52 Ω
- B.9 Ω
- C.19 Ω
- D.17 Ω
Show answer
Correct answer: D. 17 Ω
Series: R = R₁ + R₂ = 4 + 13 = 17 Ω.
Q82.Power of a lens with focal length 20 cm is:
- A.6 D
- B.0.2 D
- C.5 D
- D.20 D
Show answer
Correct answer: C. 5 D
P = 1/f = 1/0.2 m = 5 D.
Q83.Wave speed for frequency 170 Hz and wavelength 4 m is:
- A.174 m/s
- B.680 m/s
- C.850 m/s
- D.640 m/s
Show answer
Correct answer: B. 680 m/s
v = fλ = 170×4 = 680 m/s.
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.
Q85.A body starts with velocity 3 m/s and has acceleration 5 m/s². Its velocity after 5 s is:
- A.23 m/s
- B.33 m/s
- C.8 m/s
- D.28 m/s
Show answer
Correct answer: D. 28 m/s
v = u + at = 3 + 5×5 = 28 m/s.
Q86.For u = 6 m/s, a = 4 m/s², t = 5 s, displacement is:
- A.100 m
- B.76 m
- C.80 m
- D.30 m
Show answer
Correct answer: C. 80 m
s = ut + ½At² = 6×5 + 0.5×4×5² = 80 m.
Q87.Net force needed to give 3 kg mass an acceleration of 6 m/s² is:
- A.9 N
- B.18 N
- C.24 N
- D.12 N
Show answer
Correct answer: B. 18 N
F = ma = 3×6 = 18 N.
Q88.Work done when force 35 N moves a body 4 m in its direction is:
- A.140 J
- B.175 J
- C.105 J
- D.39 J
Show answer
Correct answer: A. 140 J
W = F×d = 35×4 = 140 J.
Q89.A body does 950 J of work in 10 s. Its power is:
- A.190 W
- B.105 W
- C.90 W
- D.95 W
Show answer
Correct answer: D. 95 W
P = W/t = 950/10 = 95 W.
Q90.A body of mass 4 kg moves at 12 m/s. Its momentum is:
- A.36 kg·m/s
- B.16 kg·m/s
- C.48 kg·m/s
- D.52 kg·m/s
Show answer
Correct answer: C. 48 kg·m/s
p = mv = 4×12 = 48 kg·m/s.
Q91.Kinetic energy of 5 kg body moving at 5 m/s is:
- A.57.5 J
- B.62.5 J
- C.25 J
- D.87.5 J
Show answer
Correct answer: B. 62.5 J
KE = ½mv² = 0.5×5×5² = 62.5 J.
Q92.Voltage across a 11 Ω resistor carrying 3 A current is:
- A.33 V
- B.44 V
- C.29 V
- D.16 V
Show answer
Correct answer: A. 33 V
V = IR = 3×11 = 33 V.
Q93.Two resistors 5 Ω and 14 Ω connected in series. Total resistance is:
- A.70 Ω
- B.9 Ω
- C.21 Ω
- D.19 Ω
Show answer
Correct answer: D. 19 Ω
Series: R = R₁ + R₂ = 5 + 14 = 19 Ω.
Q94.Power of a lens with focal length 30 cm is:
- A.4.33 D
- B.0.3 D
- C.3.33 D
- D.30 D
Show answer
Correct answer: C. 3.33 D
P = 1/f = 1/0.3 m = 3.33 D.
Q95.Wave speed for frequency 190 Hz and wavelength 5 m is:
- A.195 m/s
- B.950 m/s
- C.1140 m/s
- D.900 m/s
Show answer
Correct answer: B. 950 m/s
v = fλ = 190×5 = 950 m/s.
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.
Q97.A body starts with velocity 4 m/s and has acceleration 6 m/s². Its velocity after 6 s is:
- A.34 m/s
- B.46 m/s
- C.10 m/s
- D.40 m/s
Show answer
Correct answer: D. 40 m/s
v = u + at = 4 + 6×6 = 40 m/s.
Q98.For u = 1 m/s, a = 5 m/s², t = 6 s, displacement is:
- A.126 m
- B.91 m
- C.96 m
- D.6 m
Show answer
Correct answer: C. 96 m
s = ut + ½At² = 1×6 + 0.5×5×6² = 96 m.
Q99.Net force needed to give 4 kg mass an acceleration of 7 m/s² is:
- A.11 N
- B.28 N
- C.35 N
- D.21 N
Show answer
Correct answer: B. 28 N
F = ma = 4×7 = 28 N.
Q100.Work done when force 40 N moves a body 5 m in its direction is:
- A.200 J
- B.240 J
- C.160 J
- D.45 J
Show answer
Correct answer: A. 200 J
W = F×d = 40×5 = 200 J.
Q101.A body does 1000 J of work in 5 s. Its power is:
- A.400 W
- B.205 W
- C.195 W
- D.200 W
Show answer
Correct answer: D. 200 W
P = W/t = 1000/5 = 200 W.
Q102.A body of mass 5 kg moves at 4 m/s. Its momentum is:
- A.16 kg·m/s
- B.9 kg·m/s
- C.20 kg·m/s
- D.25 kg·m/s
Show answer
Correct answer: C. 20 kg·m/s
p = mv = 5×4 = 20 kg·m/s.
Q103.Kinetic energy of 6 kg body moving at 6 m/s is:
- A.102 J
- B.108 J
- C.36 J
- D.144 J
Show answer
Correct answer: B. 108 J
KE = ½mv² = 0.5×6×6² = 108 J.
Q104.Voltage across a 3 Ω resistor carrying 4 A current is:
- A.12 V
- B.15 V
- C.7 V
- D.9 V
Show answer
Correct answer: A. 12 V
V = IR = 4×3 = 12 V.
Q105.Two resistors 6 Ω and 6 Ω connected in series. Total resistance is:
- A.36 Ω
- B.0 Ω
- C.14 Ω
- D.12 Ω
Show answer
Correct answer: D. 12 Ω
Series: R = R₁ + R₂ = 6 + 6 = 12 Ω.
Q106.Power of a lens with focal length 40 cm is:
- A.3.5 D
- B.0.4 D
- C.2.5 D
- D.40 D
Show answer
Correct answer: C. 2.5 D
P = 1/f = 1/0.4 m = 2.5 D.
Q107.Wave speed for frequency 210 Hz and wavelength 6 m is:
- A.216 m/s
- B.1260 m/s
- C.1470 m/s
- D.1200 m/s
Show answer
Correct answer: B. 1260 m/s
v = fλ = 210×6 = 1260 m/s.
Q108.Unit of gravitational constant G is:
- A.N m² kg⁻²
- B.N m kg⁻¹
- C.N kg⁻²
- D.m³ kg⁻¹ s⁻²
Show answer
Correct answer: A. N m² kg⁻²
From F = Gm₁m₂/r², G = Fr²/(m₁m₂).
Q109.A body starts with velocity 5 m/s and has acceleration 7 m/s². Its velocity after 7 s is:
- A.47 m/s
- B.61 m/s
- C.12 m/s
- D.54 m/s
Show answer
Correct answer: D. 54 m/s
v = u + at = 5 + 7×7 = 54 m/s.
Q110.For u = 2 m/s, a = 6 m/s², t = 7 s, displacement is:
- A.203 m
- B.155 m
- C.161 m
- D.14 m
Show answer
Correct answer: C. 161 m
s = ut + ½At² = 2×7 + 0.5×6×7² = 161 m.
Q111.Net force needed to give 5 kg mass an acceleration of 8 m/s² is:
- A.13 N
- B.40 N
- C.48 N
- D.32 N
Show answer
Correct answer: B. 40 N
F = ma = 5×8 = 40 N.
Q112.Work done when force 45 N moves a body 6 m in its direction is:
- A.270 J
- B.315 J
- C.225 J
- D.51 J
Show answer
Correct answer: A. 270 J
W = F×d = 45×6 = 270 J.
Q113.A body does 1050 J of work in 6 s. Its power is:
- A.350 W
- B.181 W
- C.170 W
- D.175 W
Show answer
Correct answer: D. 175 W
P = W/t = 1050/6 = 175 W.
Q114.A body of mass 6 kg moves at 5 m/s. Its momentum is:
- A.25 kg·m/s
- B.11 kg·m/s
- C.30 kg·m/s
- D.36 kg·m/s
Show answer
Correct answer: C. 30 kg·m/s
p = mv = 6×5 = 30 kg·m/s.
Q115.Kinetic energy of 7 kg body moving at 7 m/s is:
- A.164.5 J
- B.171.5 J
- C.49 J
- D.220.5 J
Show answer
Correct answer: B. 171.5 J
KE = ½mv² = 0.5×7×7² = 171.5 J.
Q116.Voltage across a 4 Ω resistor carrying 5 A current is:
- A.20 V
- B.24 V
- C.14 V
- D.11 V
Show answer
Correct answer: A. 20 V
V = IR = 5×4 = 20 V.
Q117.Two resistors 7 Ω and 7 Ω connected in series. Total resistance is:
- A.49 Ω
- B.0 Ω
- C.16 Ω
- D.14 Ω
Show answer
Correct answer: D. 14 Ω
Series: R = R₁ + R₂ = 7 + 7 = 14 Ω.
Q118.Power of a lens with focal length 50 cm is:
- A.3 D
- B.0.5 D
- C.2 D
- D.50 D
Show answer
Correct answer: C. 2 D
P = 1/f = 1/0.5 m = 2 D.
Q119.Wave speed for frequency 230 Hz and wavelength 7 m is:
- A.237 m/s
- B.1610 m/s
- C.1840 m/s
- D.1540 m/s
Show answer
Correct answer: B. 1610 m/s
v = fλ = 230×7 = 1610 m/s.
Q120.Gravitational force between two bodies is independent of:
- A.medium between them
- B.masses of bodies
- C.distance between them
- D.gravitational constant
Show answer
Correct answer: A. medium between them
Unlike electrostatic force, gravitational force is medium-independent.
Q121.If [H⁺] = 10⁻3 mol/L, the pH of the solution is:
- A.4
- B.11
- C.2
- D.3
Show answer
Correct answer: D. 3
pH = −log[H⁺] = −log(10⁻3) = 3.
Q122.Molar mass of CaCl₂ is:
- A.95 g/mol
- B.113 g/mol
- C.111 g/mol
- D.75 g/mol
Show answer
Correct answer: C. 111 g/mol
Add atomic masses: molar mass of CaCl₂ = 111 g/mol.
Q123.Oxidation state of sulfur in Na₂S is:
- A.+6
- B.−2
- C.+2
- D.0
Show answer
Correct answer: B. −2
Na=+1 each, so S=−2.
Q124.Formula of lithium oxide is:
- A.Li₂O
- B.LiO
- C.Li₃O₂
- D.LiO₂
Show answer
Correct answer: A. Li₂O
Li(+1) and O(−2): Li₂O.
Q125.Product when P₂O₅ reacts with water is:
- A.H₃PO₃
- B.HPO₃
- C.H₄P₂O₇
- D.H₃PO₄
Show answer
Correct answer: D. H₃PO₄
P₂O₅ + 3H₂O → 2H₃PO₄.
Q126.Which salt hydrolyses to give acidic solution?
- A.Na₂CO₃
- B.CH₃COONa
- C.NH₄Cl
- D.NaCl
Show answer
Correct answer: C. NH₄Cl
NH₄⁺ hydrolyses: NH₄⁺+H₂O ⇌ NH₃+H₃O⁺.
Q127.Tollens’ reagent (silver mirror test) is given by:
- A.esters
- B.aldehydes
- C.ketones
- D.alcohols
Show answer
Correct answer: B. aldehydes
Aldehydes reduce [Ag(NH₃)₂]⁺ to silver mirror.
Q128.Which metal is liquid at room temperature?
- A.Mercury
- B.Tin
- C.Lead
- D.Bismuth
Show answer
Correct answer: A. Mercury
Mercury (Hg) is liquid at room temperature.
Q129.Number of moles in 18 g of H₂O (M = 18 g/mol) is:
- A.2
- B.3
- C.2.5
- D.1
Show answer
Correct answer: D. 1
n = mass/M = 18/18 = 1 mol.
Q130.De Broglie wavelength is:
- A.h·mv
- B.m/hv
- C.h/mv
- D.mv/h
Show answer
Correct answer: C. h/mv
λ = h/p = h/(mv).
Q131.Bond angle in methane (CH₄) is:
- A.180°
- B.109.5°
- C.90°
- D.120°
Show answer
Correct answer: B. 109.5°
Tetrahedral CH₄: 109.5°.
Q132.Hypo (sodium thiosulfate) is used in photography to:
- A.fix the image (remove unexposed AgBr)
- B.develop the image
- C.wash the film
- D.sensitise the film
Show answer
Correct answer: A. fix the image (remove unexposed AgBr)
Na₂S₂O₃ dissolves unreacted AgBr (fixing).
Q133.If [H⁺] = 10⁻4 mol/L, the pH of the solution is:
- A.5
- B.10
- C.3
- D.4
Show answer
Correct answer: D. 4
pH = −log[H⁺] = −log(10⁻4) = 4.
Q134.Molar mass of O₂ is:
- A.48 g/mol
- B.30 g/mol
- C.32 g/mol
- D.16 g/mol
Show answer
Correct answer: C. 32 g/mol
Add atomic masses: molar mass of O₂ = 32 g/mol.
Q135.Oxidation state of iron in FeCl₃ is:
- A.+4
- B.+3
- C.+2
- D.0
Show answer
Correct answer: B. +3
Cl=−1 (×3), Fe=+3.
Q136.Formula of copper(I) chloride is:
- A.CuCl
- B.CuCl₂
- C.Cu₂Cl
- D.CuCl₃
Show answer
Correct answer: A. CuCl
Cu(+1) and Cl(−1): CuCl.
Q137.White precipitate formed when AgNO₃ reacts with HCl is:
- A.AgBr
- B.Ag₂O
- C.Ag₂S
- D.AgCl
Show answer
Correct answer: D. AgCl
AgNO₃ + HCl → AgCl↓(white) + HNO₃.
Q138.Concentrated H₂SO₄ acts as:
- A.bleaching agent alone
- B.weak acid
- C.dehydrating agent
- D.reducing agent
Show answer
Correct answer: C. dehydrating agent
Conc. H₂SO₄ is a powerful dehydrating agent.
Q139.Reagent that converts alkene to alkane is:
- A.HBr alone
- B.H₂/Ni (hydrogenation)
- C.Cl₂/hν
- D.KMnO₄/H⁺
Show answer
Correct answer: B. H₂/Ni (hydrogenation)
Catalytic hydrogenation: alkene + H₂ → alkane.
Q140.The most abundant element in Earth’s crust is:
- A.Oxygen
- B.Silicon
- C.Aluminium
- D.Iron
Show answer
Correct answer: A. Oxygen
Oxygen (∼46%) is most abundant in Earth’s crust.
Q141.Number of moles in 88 g of CO₂ (M = 44 g/mol) is:
- A.3
- B.1
- C.3.5
- D.2
Show answer
Correct answer: D. 2
n = mass/M = 88/44 = 2 mol.
Q142.Photoelectric effect proves light has:
- A.both wave and particle simultaneously
- B.no mass
- C.particle nature (photons)
- D.wave nature only
Show answer
Correct answer: C. particle nature (photons)
Photoelectric effect demonstrated photon (particle) nature.
Q143.Ionic bond typically forms between:
- A.metal and metalloid
- B.metal and non-metal
- C.two non-metals
- D.two metals
Show answer
Correct answer: B. metal and non-metal
Ionic bonds form between metals (+) and non-metals (−).
Q144.Philosopher’s wool is:
- A.ZnO (white powder)
- B.MgO
- C.Al₂O₃
- D.CaO
Show answer
Correct answer: A. ZnO (white powder)
Zinc oxide forms white fluffy powder = philosopher’s wool.
Q145.If [H⁺] = 10⁻5 mol/L, the pH of the solution is:
- A.6
- B.9
- C.4
- D.5
Show answer
Correct answer: D. 5
pH = −log[H⁺] = −log(10⁻5) = 5.
Q146.Molar mass of N₂ is:
- A.21 g/mol
- B.30 g/mol
- C.28 g/mol
- D.14 g/mol
Show answer
Correct answer: C. 28 g/mol
Add atomic masses: molar mass of N₂ = 28 g/mol.
Q147.Oxidation state of carbon in CH₄ is:
- A.+2
- B.−4
- C.+4
- D.0
Show answer
Correct answer: B. −4
H=+1 (×4), C=−4.
Q148.Formula of nickel(II) sulfate is:
- A.NiSO₄
- B.Ni₂SO₄
- C.Ni(SO₄)₂
- D.NiSO₃
Show answer
Correct answer: A. NiSO₄
Ni(+2) and SO₄²⁻: NiSO₄.
Q149.Brown gas formed when Cu reacts with dil. HNO₃ is:
- A.NO₂
- B.N₂O
- C.N₂
- D.NO
Show answer
Correct answer: D. NO
3Cu + 8HNO₃(dil.) → 3Cu(NO₃)₂ + 2NO↑ + 4H₂O.
Q150.Which acid is used in car batteries?
- A.HNO₃
- B.H₃PO₄
- C.H₂SO₄
- D.HCl
Show answer
Correct answer: C. H₂SO₄
Lead-acid batteries use dilute H₂SO₄.
Q151.Functional group that makes a compound an ester is:
- A.−CO−
- B.−COO− (ester linkage)
- C.−COOH
- D.−OH
Show answer
Correct answer: B. −COO− (ester linkage)
Esters have −COO− linkage.
Q152.Element with highest melting point among all elements is:
- A.Tungsten (W)
- B.Iron
- C.Carbon
- D.Osmium
Show answer
Correct answer: A. Tungsten (W)
W has highest melting point (∼3422°C).
Q153.Number of moles in 51 g of NH₃ (M = 17 g/mol) is:
- A.4
- B.2
- C.4.5
- D.3
Show answer
Correct answer: D. 3
n = mass/M = 51/17 = 3 mol.
Q154.Electron configuration of O²⁻ is:
- A.1s²2s²2p⁵
- B.1s²2s²2p⁶ 3s¹
- C.1s²2s²2p⁶
- D.1s²2s²2p⁴
Show answer
Correct answer: C. 1s²2s²2p⁶
O gains 2e⁻ → 10 electrons (Ne config).
Q155.Which molecule is non-polar despite having polar bonds?
- A.NH₃
- B.CCl₄
- C.HCl
- D.H₂O
Show answer
Correct answer: B. CCl₄
CCl₄ is symmetric (tetrahedral); dipoles cancel.
Q156.Gas used in electric bulbs to prevent filament burning is:
- A.Argon (or N₂)
- B.CO₂
- C.O₂
- D.H₂
Show answer
Correct answer: A. Argon (or N₂)
Ar or N₂ is inert and prevents tungsten oxidation.
Q157.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.
Q158.Molar mass of Fe₂O₃ is:
- A.104 g/mol
- B.144 g/mol
- C.160 g/mol
- D.72 g/mol
Show answer
Correct answer: C. 160 g/mol
Add atomic masses: molar mass of Fe₂O₃ = 160 g/mol.
Q159.Oxidation state of nitrogen in NO is:
- A.0
- B.+2
- C.−2
- D.+3
Show answer
Correct answer: B. +2
O=−2, so N=+2.
Q160.Formula of lead(II) iodide is:
- A.PbI₂
- B.PbI
- C.Pb₂I
- D.PbI₄
Show answer
Correct answer: A. PbI₂
Pb(+2) needs 2 I(−1).
Q161.Gas produced when iron reacts with steam is:
- A.oxygen
- B.CO₂
- C.N₂
- D.hydrogen
Show answer
Correct answer: D. hydrogen
3Fe + 4H₂O → Fe₃O₄ + 4H₂.
Q162.Formula of caustic soda is:
- A.NaHCO₃
- B.Na₂CO₃
- C.NaOH
- D.Na₂O
Show answer
Correct answer: C. NaOH
Caustic soda = NaOH.
Q163.IUPAC name of CH₃CH₂OH is:
- A.ethanoic acid
- B.ethanol
- C.methanol
- D.propanol
Show answer
Correct answer: B. ethanol
CH₃CH₂OH is ethanol.
Q164.Atomic number of aluminium is:
- A.13
- B.27
- C.12
- D.14
Show answer
Correct answer: A. 13
Al has 13 protons.
Q165.Number of moles in 146 g of HCl (M = 36.5 g/mol) is:
- A.5
- B.3
- C.5.5
- D.4
Show answer
Correct answer: D. 4
n = mass/M = 146/36.5 = 4 mol.
Q166.Electronic configuration 2,8,2 corresponds to:
- A.Beryllium
- B.Zinc
- C.Magnesium
- D.Calcium
Show answer
Correct answer: C. Magnesium
2+8+2=12 → Mg.
Q167.Coordinate (dative) bond: both electrons donated by:
- A.shared equally
- B.one atom
- C.each atom donates one
- D.ionic charges
Show answer
Correct answer: B. one atom
Dative bond: one atom donates both bonding electrons.
Q168.Chemical name of quicklime is:
- A.calcium oxide
- B.calcium carbonate
- C.calcium hydroxide
- D.calcium chloride
Show answer
Correct answer: A. calcium oxide
Quicklime = CaO.
Q169.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.
Q170.Molar mass of ZnO is:
- A.80 g/mol
- B.83 g/mol
- C.81 g/mol
- D.65 g/mol
Show answer
Correct answer: C. 81 g/mol
Add atomic masses: molar mass of ZnO = 81 g/mol.
Q171.Oxidation state of Pb in PbO₂ is:
- A.+3
- B.+4
- C.+2
- D.0
Show answer
Correct answer: B. +4
O=−2(×2), Pb=+4.
Q172.Formula of silver sulfide is:
- A.Ag₂S
- B.AgS
- C.Ag₂S₂
- D.Ag₃S
Show answer
Correct answer: A. Ag₂S
Ag(+1) and S(−2): Ag₂S.
Q173.Product when Na₂O₂ reacts with water is:
- A.NaOH and H₂
- B.Na₂O and H₂O₂
- C.NaH and O₂
- D.NaOH and O₂
Show answer
Correct answer: D. NaOH and O₂
2Na₂O₂ + 2H₂O → 4NaOH + O₂.
Q174.Which is a neutral salt?
- A.NH₄Cl
- B.CH₃COONa
- C.NaCl
- D.Na₂CO₃
Show answer
Correct answer: C. NaCl
NaCl (strong acid + strong base) gives neutral solution.
Q175.Aldol condensation requires compounds with:
- A.ester groups only
- B.α-hydrogen atoms
- C.no hydrogen atoms
- D.aromatic rings only
Show answer
Correct answer: B. α-hydrogen atoms
Aldol condensation requires α-H adjacent to carbonyl.
Q176.Electropositive character increases down a group because:
- A.ionisation energy decreases
- B.atomic size decreases
- C.electronegativity increases
- D.proton number increases
Show answer
Correct answer: A. ionisation energy decreases
Lower IE → easier electron loss → more electropositive.
Q177.Number of moles in 490 g of H₂SO₄ (M = 98 g/mol) is:
- A.6
- B.4
- C.6.5
- D.5
Show answer
Correct answer: D. 5
n = mass/M = 490/98 = 5 mol.
Q178.Radial nodes in 2s orbital:
- A.2
- B.3
- C.1
- D.0
Show answer
Correct answer: C. 1
Radial nodes = n − l − 1 = 2−0−1 = 1.
Q179.Bond order in N₂ is:
- A.2.5
- B.3
- C.2
- D.1
Show answer
Correct answer: B. 3
N≡N triple bond; bond order = 3.
Q180.Compound used as antiseptic:
- A.H₂O₂ (dilute 3%)
- B.H₂SO₄
- C.HNO₃
- D.conc. HCl
Show answer
Correct answer: A. H₂O₂ (dilute 3%)
Dilute H₂O₂ (3%) is used as an antiseptic.