Question 1 of 20 · Class 7–8
If 5x − 3 = 22, then x =
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Answer: 5 — 5x = 22 + 3 = 25, so x = 5.
Question 2 of 20 · Class 7–8
The value of (−3)² + (−2)³ is:
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Answer: 1 — (−3)² = 9; (−2)³ = −8. Sum = 9 + (−8) = 1.
Question 3 of 20 · Class 7–8
The area of a circle with radius 7 cm is: (use π = 22/7)
44 cm²
132 cm²
154 cm²
308 cm²
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Answer: 154 cm² — Area = πr² = (22/7) × 7 × 7 = 22 × 7 = 154 cm².
Question 4 of 20 · Class 7–8
Simplify: (2x + 3) + (5x − 7)
7x − 4
7x + 4
3x − 4
3x + 10
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Answer: 7x − 4 — Combine like terms: 2x + 5x = 7x; 3 + (−7) = −4. Result: 7x − 4.
Question 5 of 20 · Class 7–8
A cuboid has length 5 cm, width 4 cm, height 3 cm. Its volume is:
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Answer: 60 cm³ — Volume = l × w × h = 5 × 4 × 3 = 60 cm³.
Question 6 of 20 · Class 7–8
What is the compound interest on ₹1000 at 10% per year for 2 years?
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Answer: ₹210 — Year 1 interest: 100. New principal: 1100. Year 2 interest: 110. Total = 100 + 110 = ₹210.
Question 7 of 20 · Class 7–8
The sum of angles in a quadrilateral is:
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Answer: 360° — A quadrilateral splits into 2 triangles: 2 × 180° = 360°.
Question 8 of 20 · Class 7–8
If a : b = 2 : 3 and b : c = 4 : 5, then a : b : c is:
2 : 3 : 5
8 : 12 : 15
6 : 12 : 15
2 : 4 : 5
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Answer: 8 : 12 : 15 — Make b common: a : b = 8 : 12 (× 4); b : c = 12 : 15 (× 3). So a : b : c = 8 : 12 : 15.
Question 9 of 20 · Class 7–8
√144 + √25 =
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Answer: 17 — √144 = 12; √25 = 5. Sum = 12 + 5 = 17.
Question 10 of 20 · Class 7–8
A pair of dice is thrown. The probability of getting a sum of 7 is:
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Answer: 1/6 — Favorable pairs summing to 7: (1,6)(2,5)(3,4)(4,3)(5,2)(6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6.
Question 11 of 20 · Class 7–8
If x + 1/x = 3, then x² + 1/x² =
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Answer: 7 — Square both sides: (x + 1/x)² = 9. Expand: x² + 2 + 1/x² = 9. So x² + 1/x² = 7.
Question 12 of 20 · Class 7–8
The angles of a triangle are in ratio 2 : 3 : 4. The largest angle is:
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Answer: 80° — Total = 180°. Parts = 2+3+4 = 9. Each part = 20°. Largest = 4 × 20° = 80°.
Question 13 of 20 · Class 7–8
If 2ˣ = 32, then x =
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Answer: 5 — 32 = 2⁵, so x = 5.
Question 14 of 20 · Class 7–8
A shopkeeper marks his goods 40% above cost and gives 25% discount. His profit percentage is:
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Answer: 5% — Let CP = 100. MP = 140. SP = 140 × 0.75 = 105. Profit = 5, so 5%.
Question 15 of 20 · Class 7–8
How many two-digit numbers are divisible by both 4 and 6?
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Answer: 8 — LCM(4,6) = 12. Two-digit multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96 — that's 8 numbers.
Question 16 of 20 · Class 7–8
If √(x + 5) = 8, then x =
Show solution
Answer: 59 — Square both sides: x + 5 = 64. So x = 59.
Question 17 of 20 · Class 7–8
The area of a rhombus with diagonals 12 cm and 16 cm is:
48 cm²
96 cm²
192 cm²
144 cm²
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Answer: 96 cm² — Area of rhombus = (1/2) × d₁ × d₂ = (1/2) × 12 × 16 = 96 cm².
Question 18 of 20 · Class 7–8
A can do a job in 12 days and B in 15 days. Working together, how many days to finish?
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Answer: 6.67 — Combined rate = 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20. Time = 20/3 ≈ 6.67 days.
Question 19 of 20 · Class 7–8
The value of (999)² is:
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Answer: 998001 — (1000 − 1)² = 1000² − 2×1000 + 1 = 1000000 − 2000 + 1 = 998001.
Question 20 of 20 · Class 7–8
Three consecutive integers sum to 66. The smallest is:
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Answer: 21 — Let integers be n, n+1, n+2. Sum = 3n + 3 = 66. So n = 21.