KCET Practice Set 1
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 1: all 180 questions with answers
Try each question first, then open “Show answer” to check the correct option and explanation.
Q1.Solve for x: 2x + 5 = 11.
- A.4
- B.2
- C.5
- D.3
Show answer
Correct answer: D. 3
Subtract 5 from both sides: 2x = 6. Divide by 2: x = 3.
Q2.One root of x² − 8x + 15 = 0 is 3. The other root is:
- A.4
- B.8
- C.5
- D.6
Show answer
Correct answer: C. 5
Product of roots = 15. Other root = 15 ÷ 3 = 5.
Q3.The 8th term of an AP with first term 2 and common difference 2 is:
- A.19
- B.16
- C.14
- D.18
Show answer
Correct answer: B. 16
aₙ = a + (n−1)d = 2 + 7×2 = 16.
Q4.Slope of the line through (1, 2) and (4, 8) is:
- A.2
- B.3
- C.1
- D.4
Show answer
Correct answer: A. 2
Slope = (8−2) ÷ (4−1) = 6 ÷ 3 = 2.
Q5.Value of sin 0° is:
- A.1
- B.1/2
- C.√3/2
- D.0
Show answer
Correct answer: D. 0
sin 0° = 0.
Q6.A bag contains 3 red and 5 blue balls. Probability of drawing a red ball is:
- A.3/7
- B.6/9
- C.3/8
- D.5/9
Show answer
Correct answer: C. 3/8
P(red) = 3/8.
Q7.Determinant of matrix [[2, 1], [2, 3]] is:
- A.12
- B.4
- C.9
- D.1
Show answer
Correct answer: B. 4
det = ad − bc = 2×3 − 1×2 = 4.
Q8.Evaluate: log₂ₐₑₒₓ2(2^2) [log base 2].
- A.2
- B.3
- C.1
- D.4
Show answer
Correct answer: A. 2
logₐ(a^n) = n, so log_2(2^2) = 2.
Q9.Find 6P2.
- A.15
- B.34
- C.26
- D.30
Show answer
Correct answer: D. 30
6P2 = 6!/(6−2)! = 6×5 = 30.
Q10.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.
Q11.Simple interest on Rs 500 at 4% p.a. for 2 years is:
- A.Rs 80
- B.Rs 40
- C.Rs 120
- D.Rs 0
Show answer
Correct answer: B. Rs 40
SI = P×R×T/100 = 500×4×2/100 = Rs 40.
Q12.Area of a triangle with base 6 cm and height 4 cm is:
- A.12 cm²
- B.24 cm²
- C.18 cm²
- D.6 cm²
Show answer
Correct answer: A. 12 cm²
Area = (1/2) × base × height = (1/2) × 6 × 4 = 12 cm².
Q13.Solve for x: 3x + 6 = 18.
- A.5
- B.3
- C.6
- D.4
Show answer
Correct answer: D. 4
Subtract 6 from both sides: 3x = 12. Divide by 3: x = 4.
Q14.One root of x² − 11x + 28 = 0 is 4. The other root is:
- A.6
- B.11
- C.7
- D.8
Show answer
Correct answer: C. 7
Product of roots = 28. Other root = 28 ÷ 4 = 7.
Q15.The 9th term of an AP with first term 3 and common difference 3 is:
- A.31
- B.27
- C.24
- D.30
Show answer
Correct answer: B. 27
aₙ = a + (n−1)d = 3 + 8×3 = 27.
Q16.Slope of the line through (2, 3) and (5, 12) is:
- A.3
- B.4
- C.2
- D.5
Show answer
Correct answer: A. 3
Slope = (12−3) ÷ (5−2) = 9 ÷ 3 = 3.
Q17.Value of cos 0° is:
- A.0
- B.−1
- C.1/2
- D.1
Show answer
Correct answer: D. 1
cos 0° = 1.
Q18.A bag contains 4 red and 6 blue balls. Probability of drawing a red ball is:
- A.4/9
- B.7/11
- C.4/10
- D.6/11
Show answer
Correct answer: C. 4/10
P(red) = 4/10.
Q19.Determinant of matrix [[3, 2], [3, 4]] is:
- A.15
- B.6
- C.11
- D.3
Show answer
Correct answer: B. 6
det = ad − bc = 3×4 − 2×3 = 6.
Q20.Evaluate: log₂ₐₑₒₓ3(3^3) [log base 3].
- A.3
- B.4
- C.2
- D.9
Show answer
Correct answer: A. 3
logₐ(a^n) = n, so log_3(3^3) = 3.
Q21.Find 7P3.
- A.70
- B.216
- C.204
- D.210
Show answer
Correct answer: D. 210
7P3 = 7!/(7−3)! = 7×6×5 = 210.
Q22.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.
Q23.Simple interest on Rs 700 at 5% p.a. for 3 years is:
- A.Rs 210
- B.Rs 105
- C.Rs 255
- D.Rs 30
Show answer
Correct answer: B. Rs 105
SI = P×R×T/100 = 700×5×3/100 = Rs 105.
Q24.Area of a triangle with base 7 cm and height 5 cm is:
- A.17.5 cm²
- B.35 cm²
- C.23.5 cm²
- D.11.5 cm²
Show answer
Correct answer: A. 17.5 cm²
Area = (1/2) × base × height = (1/2) × 7 × 5 = 17.5 cm².
Q25.Solve for x: 4x + 7 = 27.
- A.6
- B.4
- C.7
- D.5
Show answer
Correct answer: D. 5
Subtract 7 from both sides: 4x = 20. Divide by 4: x = 5.
Q26.One root of x² − 14x + 45 = 0 is 5. The other root is:
- A.8
- B.14
- C.9
- D.10
Show answer
Correct answer: C. 9
Product of roots = 45. Other root = 45 ÷ 5 = 9.
Q27.The 10th term of an AP with first term 4 and common difference 4 is:
- A.45
- B.40
- C.36
- D.44
Show answer
Correct answer: B. 40
aₙ = a + (n−1)d = 4 + 9×4 = 40.
Q28.Slope of the line through (3, 4) and (6, 16) is:
- A.4
- B.5
- C.3
- D.6
Show answer
Correct answer: A. 4
Slope = (16−4) ÷ (6−3) = 12 ÷ 3 = 4.
Q29.Value of sin 30° is:
- A.0
- B.1
- C.√3/2
- D.1/2
Show answer
Correct answer: D. 1/2
sin 30° = 1/2.
Q30.A bag contains 5 red and 7 blue balls. Probability of drawing a red ball is:
- A.5/11
- B.8/13
- C.5/12
- D.7/13
Show answer
Correct answer: C. 5/12
P(red) = 5/12.
Q31.Determinant of matrix [[4, 3], [4, 5]] is:
- A.18
- B.8
- C.13
- D.5
Show answer
Correct answer: B. 8
det = ad − bc = 4×5 − 3×4 = 8.
Q32.Evaluate: log₂ₐₑₒₓ5(5^4) [log base 5].
- A.4
- B.5
- C.3
- D.20
Show answer
Correct answer: A. 4
logₐ(a^n) = n, so log_5(5^4) = 4.
Q33.Find 8P4.
- A.420
- B.1688
- C.1672
- D.1680
Show answer
Correct answer: D. 1680
8P4 = 8!/(8−4)! = 8×7×6×5 = 1680.
Q34.Find 9C2.
- A.39
- B.33
- C.36
- D.18
Show answer
Correct answer: C. 36
nC2 = n(n−1)/2 = 9×8/2 = 36.
Q35.Simple interest on Rs 900 at 6% p.a. for 4 years is:
- A.Rs 432
- B.Rs 216
- C.Rs 456
- D.Rs 96
Show answer
Correct answer: B. Rs 216
SI = P×R×T/100 = 900×6×4/100 = Rs 216.
Q36.Area of a triangle with base 8 cm and height 6 cm is:
- A.24 cm²
- B.48 cm²
- C.30 cm²
- D.18 cm²
Show answer
Correct answer: A. 24 cm²
Area = (1/2) × base × height = (1/2) × 8 × 6 = 24 cm².
Q37.Solve for x: 5x + 8 = 38.
- A.7
- B.5
- C.8
- D.6
Show answer
Correct answer: D. 6
Subtract 8 from both sides: 5x = 30. Divide by 5: x = 6.
Q38.One root of x² − 17x + 66 = 0 is 6. The other root is:
- A.10
- B.17
- C.11
- D.12
Show answer
Correct answer: C. 11
Product of roots = 66. Other root = 66 ÷ 6 = 11.
Q39.The 11th term of an AP with first term 5 and common difference 5 is:
- A.61
- B.55
- C.50
- D.60
Show answer
Correct answer: B. 55
aₙ = a + (n−1)d = 5 + 10×5 = 55.
Q40.Slope of the line through (4, 5) and (7, 20) is:
- A.5
- B.6
- C.4
- D.7
Show answer
Correct answer: A. 5
Slope = (20−5) ÷ (7−4) = 15 ÷ 3 = 5.
Q41.Value of cos 60° is:
- A.0
- B.√3/2
- C.1
- D.1/2
Show answer
Correct answer: D. 1/2
cos 60° = 1/2.
Q42.A bag contains 6 red and 8 blue balls. Probability of drawing a red ball is:
- A.6/13
- B.9/15
- C.6/14
- D.8/15
Show answer
Correct answer: C. 6/14
P(red) = 6/14.
Q43.Determinant of matrix [[5, 4], [5, 6]] is:
- A.21
- B.10
- C.15
- D.7
Show answer
Correct answer: B. 10
det = ad − bc = 5×6 − 4×5 = 10.
Q44.Evaluate: log₂ₐₑₒₓ10(10^5) [log base 10].
- A.5
- B.6
- C.4
- D.50
Show answer
Correct answer: A. 5
logₐ(a^n) = n, so log_10(10^5) = 5.
Q45.Find 9P2.
- A.36
- B.76
- C.68
- D.72
Show answer
Correct answer: D. 72
9P2 = 9!/(9−2)! = 9×8 = 72.
Q46.Find 10C2.
- A.48
- B.42
- C.45
- D.20
Show answer
Correct answer: C. 45
nC2 = n(n−1)/2 = 10×9/2 = 45.
Q47.Simple interest on Rs 1100 at 7% p.a. for 5 years is:
- A.Rs 770
- B.Rs 385
- C.Rs 735
- D.Rs 210
Show answer
Correct answer: B. Rs 385
SI = P×R×T/100 = 1100×7×5/100 = Rs 385.
Q48.Area of a triangle with base 9 cm and height 7 cm is:
- A.31.5 cm²
- B.63 cm²
- C.37.5 cm²
- D.25.5 cm²
Show answer
Correct answer: A. 31.5 cm²
Area = (1/2) × base × height = (1/2) × 9 × 7 = 31.5 cm².
Q49.Solve for x: 6x + 9 = 51.
- A.8
- B.6
- C.9
- D.7
Show answer
Correct answer: D. 7
Subtract 9 from both sides: 6x = 42. Divide by 6: x = 7.
Q50.One root of x² − 20x + 91 = 0 is 7. The other root is:
- A.12
- B.20
- C.13
- D.14
Show answer
Correct answer: C. 13
Product of roots = 91. Other root = 91 ÷ 7 = 13.
Q51.The 12th term of an AP with first term 6 and common difference 6 is:
- A.79
- B.72
- C.66
- D.78
Show answer
Correct answer: B. 72
aₙ = a + (n−1)d = 6 + 11×6 = 72.
Q52.Slope of the line through (5, 6) and (8, 24) is:
- A.6
- B.7
- C.5
- D.8
Show answer
Correct answer: A. 6
Slope = (24−6) ÷ (8−5) = 18 ÷ 3 = 6.
Q53.Value of tan 45° is:
- A.0
- B.√3
- C.1/√3
- D.1
Show answer
Correct answer: D. 1
tan 45° = 1.
Q54.A bag contains 7 red and 9 blue balls. Probability of drawing a red ball is:
- A.7/15
- B.10/17
- C.7/16
- D.9/17
Show answer
Correct answer: C. 7/16
P(red) = 7/16.
Q55.Determinant of matrix [[6, 5], [2, 7]] is:
- A.20
- B.32
- C.37
- D.29
Show answer
Correct answer: B. 32
det = ad − bc = 6×7 − 5×2 = 32.
Q56.Evaluate: log₂ₐₑₒₓ2(2^6) [log base 2].
- A.6
- B.7
- C.5
- D.12
Show answer
Correct answer: A. 6
logₐ(a^n) = n, so log_2(2^6) = 6.
Q57.Find 10P3.
- A.240
- B.726
- C.714
- D.720
Show answer
Correct answer: D. 720
10P3 = 10!/(10−3)! = 10×9×8 = 720.
Q58.Find 11C2.
- A.58
- B.52
- C.55
- D.22
Show answer
Correct answer: C. 55
nC2 = n(n−1)/2 = 11×10/2 = 55.
Q59.Simple interest on Rs 1300 at 8% p.a. for 2 years is:
- A.Rs 416
- B.Rs 208
- C.Rs 368
- D.Rs 128
Show answer
Correct answer: B. Rs 208
SI = P×R×T/100 = 1300×8×2/100 = Rs 208.
Q60.Area of a triangle with base 10 cm and height 8 cm is:
- A.40 cm²
- B.80 cm²
- C.46 cm²
- D.34 cm²
Show answer
Correct answer: A. 40 cm²
Area = (1/2) × base × height = (1/2) × 10 × 8 = 40 cm².
Q61.A body starts with velocity 2 m/s and has acceleration 2 m/s². Its velocity after 3 s is:
- A.6 m/s
- B.10 m/s
- C.5 m/s
- D.8 m/s
Show answer
Correct answer: D. 8 m/s
v = u + at = 2 + 2×3 = 8 m/s.
Q62.For u = 1 m/s, a = 2 m/s², t = 4 s, displacement is:
- A.28 m
- B.18 m
- C.20 m
- D.4 m
Show answer
Correct answer: C. 20 m
s = ut + ½At² = 1×4 + 0.5×2×4² = 20 m.
Q63.Net force needed to give 2 kg mass an acceleration of 3 m/s² is:
- A.5 N
- B.6 N
- C.9 N
- D.3 N
Show answer
Correct answer: B. 6 N
F = ma = 2×3 = 6 N.
Q64.Work done when force 10 N moves a body 3 m in its direction is:
- A.30 J
- B.40 J
- C.20 J
- D.13 J
Show answer
Correct answer: A. 30 J
W = F×d = 10×3 = 30 J.
Q65.A body does 100 J of work in 5 s. Its power is:
- A.40 W
- B.25 W
- C.15 W
- D.20 W
Show answer
Correct answer: D. 20 W
P = W/t = 100/5 = 20 W.
Q66.A body of mass 3 kg moves at 4 m/s. Its momentum is:
- A.8 kg·m/s
- B.7 kg·m/s
- C.12 kg·m/s
- D.15 kg·m/s
Show answer
Correct answer: C. 12 kg·m/s
p = mv = 3×4 = 12 kg·m/s.
Q67.Kinetic energy of 2 kg body moving at 4 m/s is:
- A.14 J
- B.16 J
- C.8 J
- D.24 J
Show answer
Correct answer: B. 16 J
KE = ½mv² = 0.5×2×4² = 16 J.
Q68.Voltage across a 3 Ω resistor carrying 2 A current is:
- A.6 V
- B.9 V
- C.3 V
- D.7 V
Show answer
Correct answer: A. 6 V
V = IR = 2×3 = 6 V.
Q69.Two resistors 4 Ω and 6 Ω connected in series. Total resistance is:
- A.24 Ω
- B.2 Ω
- C.12 Ω
- D.10 Ω
Show answer
Correct answer: D. 10 Ω
Series: R = R₁ + R₂ = 4 + 6 = 10 Ω.
Q70.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.
Q71.Wave speed for frequency 50 Hz and wavelength 2 m is:
- A.52 m/s
- B.100 m/s
- C.150 m/s
- D.80 m/s
Show answer
Correct answer: B. 100 m/s
v = fλ = 50×2 = 100 m/s.
Q72.Gravitational force doubles when one mass doubles:
- A.doubles
- B.halves
- C.quadruples
- D.unchanged
Show answer
Correct answer: A. doubles
F ∝ m₁×m₂; doubling one mass doubles F.
Q73.A body starts with velocity 3 m/s and has acceleration 3 m/s². Its velocity after 4 s is:
- A.12 m/s
- B.18 m/s
- C.7 m/s
- D.15 m/s
Show answer
Correct answer: D. 15 m/s
v = u + at = 3 + 3×4 = 15 m/s.
Q74.For u = 2 m/s, a = 3 m/s², t = 5 s, displacement is:
- A.62.5 m
- B.44.5 m
- C.47.5 m
- D.10 m
Show answer
Correct answer: C. 47.5 m
s = ut + ½At² = 2×5 + 0.5×3×5² = 47.5 m.
Q75.Net force needed to give 3 kg mass an acceleration of 4 m/s² is:
- A.7 N
- B.12 N
- C.16 N
- D.8 N
Show answer
Correct answer: B. 12 N
F = ma = 3×4 = 12 N.
Q76.Work done when force 15 N moves a body 4 m in its direction is:
- A.60 J
- B.75 J
- C.45 J
- D.19 J
Show answer
Correct answer: A. 60 J
W = F×d = 15×4 = 60 J.
Q77.A body does 150 J of work in 6 s. Its power is:
- A.50 W
- B.31 W
- C.20 W
- D.25 W
Show answer
Correct answer: D. 25 W
P = W/t = 150/6 = 25 W.
Q78.A body of mass 4 kg moves at 5 m/s. Its momentum is:
- A.15 kg·m/s
- B.9 kg·m/s
- C.20 kg·m/s
- D.24 kg·m/s
Show answer
Correct answer: C. 20 kg·m/s
p = mv = 4×5 = 20 kg·m/s.
Q79.Kinetic energy of 3 kg body moving at 5 m/s is:
- A.34.5 J
- B.37.5 J
- C.15 J
- D.52.5 J
Show answer
Correct answer: B. 37.5 J
KE = ½mv² = 0.5×3×5² = 37.5 J.
Q80.Voltage across a 4 Ω resistor carrying 3 A current is:
- A.12 V
- B.16 V
- C.8 V
- D.9 V
Show answer
Correct answer: A. 12 V
V = IR = 3×4 = 12 V.
Q81.Two resistors 5 Ω and 7 Ω connected in series. Total resistance is:
- A.35 Ω
- B.2 Ω
- C.14 Ω
- D.12 Ω
Show answer
Correct answer: D. 12 Ω
Series: R = R₁ + R₂ = 5 + 7 = 12 Ω.
Q82.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.
Q83.Wave speed for frequency 70 Hz and wavelength 3 m is:
- A.73 m/s
- B.210 m/s
- C.280 m/s
- D.180 m/s
Show answer
Correct answer: B. 210 m/s
v = fλ = 70×3 = 210 m/s.
Q84.Gravitational force when separation is tripled becomes:
- A.1/9 of original
- B.1/3 of original
- C.3 times
- D.9 times
Show answer
Correct answer: A. 1/9 of original
F ∝ 1/r²; 3× distance → F/9.
Q85.A body starts with velocity 4 m/s and has acceleration 4 m/s². Its velocity after 5 s is:
- A.20 m/s
- B.28 m/s
- C.9 m/s
- D.24 m/s
Show answer
Correct answer: D. 24 m/s
v = u + at = 4 + 4×5 = 24 m/s.
Q86.For u = 3 m/s, a = 4 m/s², t = 6 s, displacement is:
- A.114 m
- B.86 m
- C.90 m
- D.18 m
Show answer
Correct answer: C. 90 m
s = ut + ½At² = 3×6 + 0.5×4×6² = 90 m.
Q87.Net force needed to give 4 kg mass an acceleration of 5 m/s² is:
- A.9 N
- B.20 N
- C.25 N
- D.15 N
Show answer
Correct answer: B. 20 N
F = ma = 4×5 = 20 N.
Q88.Work done when force 20 N moves a body 5 m in its direction is:
- A.100 J
- B.120 J
- C.80 J
- D.25 J
Show answer
Correct answer: A. 100 J
W = F×d = 20×5 = 100 J.
Q89.A body does 200 J of work in 7 s. Its power is:
- A.57.14 W
- B.35.57 W
- C.23.57 W
- D.28.57 W
Show answer
Correct answer: D. 28.57 W
P = W/t = 200/7 = 28.57 W.
Q90.A body of mass 5 kg moves at 6 m/s. Its momentum is:
- A.24 kg·m/s
- B.11 kg·m/s
- C.30 kg·m/s
- D.35 kg·m/s
Show answer
Correct answer: C. 30 kg·m/s
p = mv = 5×6 = 30 kg·m/s.
Q91.Kinetic energy of 4 kg body moving at 6 m/s is:
- A.68 J
- B.72 J
- C.24 J
- D.96 J
Show answer
Correct answer: B. 72 J
KE = ½mv² = 0.5×4×6² = 72 J.
Q92.Voltage across a 5 Ω resistor carrying 4 A current is:
- A.20 V
- B.25 V
- C.15 V
- D.11 V
Show answer
Correct answer: A. 20 V
V = IR = 4×5 = 20 V.
Q93.Two resistors 6 Ω and 8 Ω connected in series. Total resistance is:
- A.48 Ω
- B.2 Ω
- C.16 Ω
- D.14 Ω
Show answer
Correct answer: D. 14 Ω
Series: R = R₁ + R₂ = 6 + 8 = 14 Ω.
Q94.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.
Q95.Wave speed for frequency 90 Hz and wavelength 4 m is:
- A.94 m/s
- B.360 m/s
- C.450 m/s
- D.320 m/s
Show answer
Correct answer: B. 360 m/s
v = fλ = 90×4 = 360 m/s.
Q96.Gravitational force when distance is doubled becomes:
- A.one-fourth
- B.half
- C.double
- D.unchanged
Show answer
Correct answer: A. one-fourth
F ∝ 1/r²; 2× distance → F/4.
Q97.A body starts with velocity 5 m/s and has acceleration 5 m/s². Its velocity after 6 s is:
- A.30 m/s
- B.40 m/s
- C.11 m/s
- D.35 m/s
Show answer
Correct answer: D. 35 m/s
v = u + at = 5 + 5×6 = 35 m/s.
Q98.For u = 4 m/s, a = 5 m/s², t = 7 s, displacement is:
- A.185.5 m
- B.145.5 m
- C.150.5 m
- D.28 m
Show answer
Correct answer: C. 150.5 m
s = ut + ½At² = 4×7 + 0.5×5×7² = 150.5 m.
Q99.Net force needed to give 5 kg mass an acceleration of 6 m/s² is:
- A.11 N
- B.30 N
- C.36 N
- D.24 N
Show answer
Correct answer: B. 30 N
F = ma = 5×6 = 30 N.
Q100.Work done when force 25 N moves a body 6 m in its direction is:
- A.150 J
- B.175 J
- C.125 J
- D.31 J
Show answer
Correct answer: A. 150 J
W = F×d = 25×6 = 150 J.
Q101.A body does 250 J of work in 8 s. Its power is:
- A.62.5 W
- B.39.25 W
- C.26.25 W
- D.31.25 W
Show answer
Correct answer: D. 31.25 W
P = W/t = 250/8 = 31.25 W.
Q102.A body of mass 6 kg moves at 7 m/s. Its momentum is:
- A.35 kg·m/s
- B.13 kg·m/s
- C.42 kg·m/s
- D.48 kg·m/s
Show answer
Correct answer: C. 42 kg·m/s
p = mv = 6×7 = 42 kg·m/s.
Q103.Kinetic energy of 5 kg body moving at 7 m/s is:
- A.117.5 J
- B.122.5 J
- C.35 J
- D.157.5 J
Show answer
Correct answer: B. 122.5 J
KE = ½mv² = 0.5×5×7² = 122.5 J.
Q104.Voltage across a 6 Ω resistor carrying 5 A current is:
- A.30 V
- B.36 V
- C.24 V
- D.13 V
Show answer
Correct answer: A. 30 V
V = IR = 5×6 = 30 V.
Q105.Two resistors 7 Ω and 9 Ω connected in series. Total resistance is:
- A.63 Ω
- B.2 Ω
- C.18 Ω
- D.16 Ω
Show answer
Correct answer: D. 16 Ω
Series: R = R₁ + R₂ = 7 + 9 = 16 Ω.
Q106.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.
Q107.Wave speed for frequency 110 Hz and wavelength 5 m is:
- A.115 m/s
- B.550 m/s
- C.660 m/s
- D.500 m/s
Show answer
Correct answer: B. 550 m/s
v = fλ = 110×5 = 550 m/s.
Q108.Escape velocity from Earth's surface is approximately:
- A.11.2 km/s
- B.7.9 km/s
- C.3.0 km/s
- D.16.0 km/s
Show answer
Correct answer: A. 11.2 km/s
vᵉ = √(2gR) ≈ 11.2 km/s.
Q109.A body starts with velocity 6 m/s and has acceleration 6 m/s². Its velocity after 7 s is:
- A.42 m/s
- B.54 m/s
- C.13 m/s
- D.48 m/s
Show answer
Correct answer: D. 48 m/s
v = u + at = 6 + 6×7 = 48 m/s.
Q110.For u = 5 m/s, a = 6 m/s², t = 4 s, displacement is:
- A.92 m
- B.62 m
- C.68 m
- D.20 m
Show answer
Correct answer: C. 68 m
s = ut + ½At² = 5×4 + 0.5×6×4² = 68 m.
Q111.Net force needed to give 6 kg mass an acceleration of 7 m/s² is:
- A.13 N
- B.42 N
- C.49 N
- D.35 N
Show answer
Correct answer: B. 42 N
F = ma = 6×7 = 42 N.
Q112.Work done when force 30 N moves a body 7 m in its direction is:
- A.210 J
- B.240 J
- C.180 J
- D.37 J
Show answer
Correct answer: A. 210 J
W = F×d = 30×7 = 210 J.
Q113.A body does 300 J of work in 9 s. Its power is:
- A.66.67 W
- B.42.33 W
- C.28.33 W
- D.33.33 W
Show answer
Correct answer: D. 33.33 W
P = W/t = 300/9 = 33.33 W.
Q114.A body of mass 7 kg moves at 8 m/s. Its momentum is:
- A.48 kg·m/s
- B.15 kg·m/s
- C.56 kg·m/s
- D.63 kg·m/s
Show answer
Correct answer: C. 56 kg·m/s
p = mv = 7×8 = 56 kg·m/s.
Q115.Kinetic energy of 6 kg body moving at 8 m/s is:
- A.186 J
- B.192 J
- C.48 J
- D.240 J
Show answer
Correct answer: B. 192 J
KE = ½mv² = 0.5×6×8² = 192 J.
Q116.Voltage across a 7 Ω resistor carrying 6 A current is:
- A.42 V
- B.49 V
- C.35 V
- D.15 V
Show answer
Correct answer: A. 42 V
V = IR = 6×7 = 42 V.
Q117.Two resistors 8 Ω and 10 Ω connected in series. Total resistance is:
- A.80 Ω
- B.2 Ω
- C.20 Ω
- D.18 Ω
Show answer
Correct answer: D. 18 Ω
Series: R = R₁ + R₂ = 8 + 10 = 18 Ω.
Q118.Power of a lens with focal length 60 cm is:
- A.2.67 D
- B.0.6 D
- C.1.67 D
- D.60 D
Show answer
Correct answer: C. 1.67 D
P = 1/f = 1/0.6 m = 1.67 D.
Q119.Wave speed for frequency 130 Hz and wavelength 6 m is:
- A.136 m/s
- B.780 m/s
- C.910 m/s
- D.720 m/s
Show answer
Correct answer: B. 780 m/s
v = fλ = 130×6 = 780 m/s.
Q120.Orbital velocity of a satellite near Earth's surface is approximately:
- A.7.9 km/s
- B.11.2 km/s
- C.5.0 km/s
- D.3.0 km/s
Show answer
Correct answer: A. 7.9 km/s
First cosmic velocity ≈ 7.9 km/s.
Q121.If [H⁺] = 10⁻1 mol/L, the pH of the solution is:
- A.2
- B.13
- C.3
- D.1
Show answer
Correct answer: D. 1
pH = −log[H⁺] = −log(10⁻1) = 1.
Q122.Molar mass of H₂O is:
- A.20 g/mol
- B.22 g/mol
- C.18 g/mol
- D.16 g/mol
Show answer
Correct answer: C. 18 g/mol
Add atomic masses: molar mass of H₂O = 18 g/mol.
Q123.Oxidation state of sulfur in H₂SO₄ is:
- A.−2
- B.+6
- C.+4
- D.+2
Show answer
Correct answer: B. +6
S in H₂SO₄ = +6.
Q124.Formula of compound formed by Na⁺ and O²⁻ is:
- A.Na₂O
- B.NaO
- C.NaO₂
- D.Na₂O₂
Show answer
Correct answer: A. Na₂O
Na(+1) and O(−2): Na₂O.
Q125.Gas evolved when zinc reacts with dilute HCl is:
- A.oxygen
- B.nitrogen
- C.carbon dioxide
- D.hydrogen
Show answer
Correct answer: D. hydrogen
Zn + 2HCl → ZnCl₂ + H₂↑.
Q126.Which is a strong acid?
- A.H₂CO₃
- B.HF
- C.HCl
- D.CH₃COOH
Show answer
Correct answer: C. HCl
HCl ionises completely in water.
Q127.Functional group in ethanol is:
- A.−CO− (ketone)
- B.−OH (hydroxyl)
- C.−COOH (carboxyl)
- D.−CHO (aldehyde)
Show answer
Correct answer: B. −OH (hydroxyl)
C₂H₅OH has a hydroxyl group.
Q128.Which element belongs to Group 1 (alkali metals)?
- A.Potassium
- B.Calcium
- C.Magnesium
- D.Aluminium
Show answer
Correct answer: A. Potassium
K is in Group 1.
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.Electronic configuration 2,8,1 corresponds to:
- A.Magnesium (Mg)
- B.Lithium (Li)
- C.Sodium (Na)
- D.Potassium (K)
Show answer
Correct answer: C. Sodium (Na)
2+8+1=11 → Na.
Q131.Which is a covalent compound?
- A.CaCl₂
- B.Water (H₂O)
- C.NaCl
- D.MgO
Show answer
Correct answer: B. Water (H₂O)
Water has covalent O−H bonds.
Q132.Common name of NaHCO₃ is:
- A.baking soda
- B.washing soda
- C.bleaching powder
- D.quicklime
Show answer
Correct answer: A. baking soda
NaHCO₃ = baking soda.
Q133.If [H⁺] = 10⁻2 mol/L, the pH of the solution is:
- A.3
- B.12
- C.1
- D.2
Show answer
Correct answer: D. 2
pH = −log[H⁺] = −log(10⁻2) = 2.
Q134.Molar mass of CO₂ is:
- A.46 g/mol
- B.48 g/mol
- C.44 g/mol
- D.40 g/mol
Show answer
Correct answer: C. 44 g/mol
Add atomic masses: molar mass of CO₂ = 44 g/mol.
Q135.Oxidation state of nitrogen in NH₃ is:
- A.+5
- B.−3
- C.+3
- D.0
Show answer
Correct answer: B. −3
H is +1 (×3), so N = −3.
Q136.Formula of magnesium chloride is:
- A.MgCl₂
- B.MgCl
- C.Mg₂Cl
- D.MgCl₃
Show answer
Correct answer: A. MgCl₂
Mg(+2) needs 2 Cl(−1).
Q137.Gas evolved when Na₂CO₃ reacts with HCl is:
- A.hydrogen
- B.oxygen
- C.chlorine
- D.carbon dioxide
Show answer
Correct answer: D. carbon dioxide
Na₂CO₃ + 2HCl → 2NaCl + H₂O + CO₂↑.
Q138.Which is a weak acid?
- A.H₂SO₄
- B.HCl
- C.CH₃COOH
- D.HNO₃
Show answer
Correct answer: C. CH₃COOH
Acetic acid ionises partially.
Q139.Functional group in ethanoic acid is:
- A.−NH₂ (amine)
- B.−COOH (carboxyl)
- C.−OH (hydroxyl)
- D.−CO− (ketone)
Show answer
Correct answer: B. −COOH (carboxyl)
CH₃COOH has a carboxyl group.
Q140.Atomic number of carbon is:
- A.6
- B.12
- C.14
- D.8
Show answer
Correct answer: A. 6
Carbon has 6 protons.
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.Electronic configuration 2,8,8 corresponds to:
- A.Sulphur (S)
- B.Potassium (K)
- C.Argon (Ar)
- D.Chlorine (Cl)
Show answer
Correct answer: C. Argon (Ar)
2+8+8=18 → Ar.
Q143.Bond angle in water molecule is approximately:
- A.109.5°
- B.104.5°
- C.180°
- D.120°
Show answer
Correct answer: B. 104.5°
Water is V-shaped; bond angle ≈ 104.5°.
Q144.Chemical name of common salt (NaCl) is:
- A.sodium chloride
- B.sodium carbonate
- C.sodium hydroxide
- D.sodium sulfate
Show answer
Correct answer: A. sodium chloride
NaCl = sodium chloride.
Q145.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.
Q146.Molar mass of NH₃ is:
- A.16 g/mol
- B.18 g/mol
- C.17 g/mol
- D.14 g/mol
Show answer
Correct answer: C. 17 g/mol
Add atomic masses: molar mass of NH₃ = 17 g/mol.
Q147.Oxidation state of carbon in CO₂ is:
- A.0
- B.+4
- C.+2
- D.−2
Show answer
Correct answer: B. +4
O is −2 (×2), so C = +4.
Q148.Formula of aluminium oxide is:
- A.Al₂O₃
- B.AlO
- C.Al₃O₂
- D.AlO₃
Show answer
Correct answer: A. Al₂O₃
Al(+3) and O(−2): Al₂O₃.
Q149.Gas evolved when NH₄Cl reacts with Ca(OH)₂ is:
- A.hydrogen
- B.nitrogen
- C.HCl
- D.ammonia
Show answer
Correct answer: D. ammonia
2NH₄Cl + Ca(OH)₂ → CaCl₂ + 2H₂O + 2NH₃↑.
Q150.pH of pure water at 25°C is:
- A.14
- B.1
- C.7
- D.0
Show answer
Correct answer: C. 7
Pure water [H⁺]=[OH⁻]=10⁻⁷; pH=7.
Q151.Functional group in propanone is:
- A.−OH
- B.−CO− (ketone)
- C.−CHO (aldehyde)
- D.−COOH
Show answer
Correct answer: B. −CO− (ketone)
Propanone (CH₃COCH₃) is a ketone.
Q152.Which is a noble gas?
- A.Argon
- B.Nitrogen
- C.Hydrogen
- D.Fluorine
Show answer
Correct answer: A. Argon
Argon (Group 18) is a noble gas.
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.Maximum electrons in d-subshell is:
- A.6
- B.14
- C.10
- D.2
Show answer
Correct answer: C. 10
d has 5 orbitals × 2 = 10 electrons.
Q155.Shape of CO₂ molecule is:
- A.tetrahedral
- B.linear
- C.bent
- D.trigonal planar
Show answer
Correct answer: B. linear
CO₂ is linear (O=C=O).
Q156.Chemical formula of plaster of Paris is:
- A.CaSO₄·½H₂O
- B.CaSO₄·2H₂O
- C.CaSO₄
- D.CaO
Show answer
Correct answer: A. CaSO₄·½H₂O
Plaster of Paris = calcium sulfate hemihydrate.
Q157.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.
Q158.Molar mass of NaCl is:
- A.74 g/mol
- B.23 g/mol
- C.58.5 g/mol
- D.36.5 g/mol
Show answer
Correct answer: C. 58.5 g/mol
Add atomic masses: molar mass of NaCl = 58.5 g/mol.
Q159.Oxidation state of iron in Fe₂O₃ is:
- A.+4
- B.+3
- C.+2
- D.0
Show answer
Correct answer: B. +3
O is −2 (×3); 2Fe = +6, Fe = +3.
Q160.Formula of calcium chloride is:
- A.CaCl₂
- B.CaCl
- C.Ca₂Cl
- D.CaCl₃
Show answer
Correct answer: A. CaCl₂
Ca(+2) needs 2 Cl(−1).
Q161.Gas evolved when MnO₂ reacts with conc. HCl is:
- A.hydrogen
- B.oxygen
- C.HCl
- D.chlorine
Show answer
Correct answer: D. chlorine
MnO₂ + 4HCl → MnCl₂ + 2H₂O + Cl₂↑.
Q162.A solution with pH < 7 is:
- A.neutral
- B.amphoteric
- C.acidic
- D.basic
Show answer
Correct answer: C. acidic
Acidic solutions have pH below 7.
Q163.Functional group in methanal is:
- A.−OH
- B.−CHO (aldehyde)
- C.−CO− (ketone)
- D.−COOH
Show answer
Correct answer: B. −CHO (aldehyde)
HCHO is an aldehyde.
Q164.Element with symbol Fe is:
- A.iron
- B.fluorine
- C.francium
- D.fermium
Show answer
Correct answer: A. iron
Fe from Latin ‘ferrum’ (iron).
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.Quantum number describing orbital shape is:
- A.magnetic (m)
- B.spin (s)
- C.azimuthal (l)
- D.principal (n)
Show answer
Correct answer: C. azimuthal (l)
l determines orbital shape.
Q167.Type of bond in NaCl is:
- A.hydrogen
- B.ionic
- C.covalent
- D.metallic
Show answer
Correct answer: B. ionic
NaCl forms by electrostatic attraction (ionic bond).
Q168.Gas used in fire extinguishers is:
- A.CO₂
- B.N₂
- C.O₂
- D.Cl₂
Show answer
Correct answer: A. CO₂
CO₂ smothers fire by displacing oxygen.
Q169.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.
Q170.Molar mass of H₂SO₄ is:
- A.96 g/mol
- B.100 g/mol
- C.98 g/mol
- D.80 g/mol
Show answer
Correct answer: C. 98 g/mol
Add atomic masses: molar mass of H₂SO₄ = 98 g/mol.
Q171.Oxidation state of chlorine in HCl is:
- A.−3
- B.−1
- C.+1
- D.0
Show answer
Correct answer: B. −1
H is +1, so Cl = −1.
Q172.Formula of potassium sulfate is:
- A.K₂SO₄
- B.KSO₄
- C.K₂SO₃
- D.K₂S
Show answer
Correct answer: A. K₂SO₄
K(+1) and SO₄²⁻: K₂SO₄.
Q173.Product when NaOH reacts with HCl is:
- A.Na₂O and water
- B.NaCl and H₂
- C.NaHCO₃
- D.NaCl and water
Show answer
Correct answer: D. NaCl and water
NaOH + HCl → NaCl + H₂O.
Q174.Which is a strong base?
- A.Cu(OH)₂
- B.Mg(OH)₂
- C.NaOH
- D.NH₄OH
Show answer
Correct answer: C. NaOH
NaOH fully dissociates in water.
Q175.Functional group in methylamine is:
- A.−COOH
- B.−NH₂ (amine)
- C.−OH
- D.−NO₂ (nitro)
Show answer
Correct answer: B. −NH₂ (amine)
CH₃NH₂ has an amine group.
Q176.Atomic number of sodium is:
- A.11
- B.23
- C.12
- D.10
Show answer
Correct answer: A. 11
Na has 11 protons.
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.Number of orbitals in p-subshell is:
- A.5
- B.7
- C.3
- D.1
Show answer
Correct answer: C. 3
p has 3 orbitals: pₓ, pᵧ, pᵩ.
Q179.Which molecule has a triple bond?
- A.O₂
- B.N₂
- C.H₂O
- D.NH₃
Show answer
Correct answer: B. N₂
N₂ has a triple bond (N≡N).
Q180.Colour of hydrated copper sulfate (CuSO₄·5H₂O) crystals is:
- A.blue
- B.green
- C.white
- D.yellow
Show answer
Correct answer: A. blue
Hydrated copper sulfate is blue.