Q1. ₹63 is divided between A and B in the ratio 2:5. What is A's share (in ₹)?
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Answer: A. 18
A's share = 63 × 2/7 = ₹18.
SSC CGL Quantitative Aptitude Beginner Practice Set 7
25 beginner questions. Tap an option to check it, or open “Show answer” for the explanation.
Topics: Ratio and Proportion, Time and Work, Speed, Time and Distance, LCM and HCF, Algebra, Problems on Ages, Mensuration, Geometry, Simplification, Percentage, Profit and Loss, Discount, Simple Interest, Compound Interest, Average
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Q2. A can complete a piece of work in 14 days and B can complete it in 35 days. In how many days can they complete it working together?
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Answer: C. 10 days
Together per day = 1/14 + 1/35 = 1/10. So they need 10 days.
Q3. A bus covers 156 km in 4 hours. What is its average speed?
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Answer: B. 39 km/h
Speed = 156/4 = 39 km/h.
Q4. Find the HCF of 27 and 99.
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Answer: D. 9
27 = 9 × 3, 99 = 9 × 11. Since 3 and 11 share no factor, HCF = 9.
Q5. If 8x + 2 = 10, find x.
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Answer: C. 1
8x = 10 − 2 = 8, so x = 8/8 = 1.
Q6. A father is 2 times as old as his son. If the son is 11 years old, what will the father's age be after 8 years?
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Answer: C. 30 years
Father's present age = 2 × 11 = 22. After 8 years: 30 years.
Q7. Find the area of a rectangle with length 40 m and breadth 18 m.
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Answer: D. 720 m²
Area = 40 × 18 = 720 m².
Q8. Two angles of a triangle are 40° and 73°. Find the third angle.
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Answer: A. 67°
Third angle = 180 − 40 − 73 = 67°.
Q9. Simplify: 51 + 5 × 9 − 29
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Answer: B. 67
5 × 9 = 45; 51 + 45 − 29 = 67.
Q10. What is 75% of 320?
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Answer: D. 240
75% of 320 = 75/100 × 320 = 240.
Q11. An article is bought for ₹1200 and sold at a profit of 40%. What is the selling price (in ₹)?
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Answer: D. 1680
SP = 1200 × 140/100 = ₹1680.
Q12. The marked price of a shirt is ₹5000. A discount of 25% is given. What is the selling price (in ₹)?
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Answer: B. 3750
SP = 5000 × 75/100 = ₹3750.
Q13. Find the simple interest on ₹3000 at 8% per annum for 4 years (in ₹).
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Answer: D. 960
SI = 3000 × 8 × 4 / 100 = ₹960.
Q14. Find the compound interest on ₹2000 for 2 years at 5% per annum, compounded annually (in ₹).
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Answer: C. 205
Amount = 2000 × (105/100)² = ₹2205. CI = 2205 − 2000 = ₹205.
Q15. Find the average of 15, 43, 12, 79, 26.
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Answer: A. 35
Sum = 175; average = 175/5 = 35.
Q16. ₹180 is divided between A and B in the ratio 3:7. What is A's share (in ₹)?
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Answer: A. 54
A's share = 180 × 3/10 = ₹54.
Q17. A can complete a piece of work in 30 days and B can complete it in 45 days. In how many days can they complete it working together?
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Answer: C. 18 days
Together per day = 1/30 + 1/45 = 1/18. So they need 18 days.
Q18. A truck covers 264 km in 4 hours. What is its average speed?
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Answer: C. 66 km/h
Speed = 264/4 = 66 km/h.
Q19. Find the HCF of 12 and 44.
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Answer: D. 4
12 = 4 × 3, 44 = 4 × 11. Since 3 and 11 share no factor, HCF = 4.
Q20. If 5x + 1 = 46, find x.
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Answer: A. 9
5x = 46 − 1 = 45, so x = 45/5 = 9.
Q21. A father is 4 times as old as his son. If the son is 17 years old, what will the father's age be after 2 years?
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Answer: D. 70 years
Father's present age = 4 × 17 = 68. After 2 years: 70 years.
Q22. Find the area of a rectangle with length 19 m and breadth 16 m.
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Answer: A. 304 m²
Area = 19 × 16 = 304 m².
Q23. Two angles of a triangle are 47° and 67°. Find the third angle.
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Answer: B. 66°
Third angle = 180 − 47 − 67 = 66°.
Q24. Simplify: 15 + 10 × 4 − 42
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Answer: D. 13
10 × 4 = 40; 15 + 40 − 42 = 13.
Q25. What is 50% of 1480?
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Answer: A. 740
50% of 1480 = 50/100 × 1480 = 740.