Q1. Find the simple interest on ₹12000 at 6% per annum for 2 years (in ₹).
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Answer: C. 1440
SI = 12000 × 6 × 2 / 100 = ₹1440.
SSC CGL Quantitative Aptitude Beginner Practice Set 5
25 beginner questions. Tap an option to check it, or open “Show answer” for the explanation.
Topics: Simple Interest, Compound Interest, Average, 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, Number System
Score: 0 / 0
Q2. Find the compound interest on ₹19000 for 2 years at 10% per annum, compounded annually (in ₹).
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Answer: B. 3990
Amount = 19000 × (110/100)² = ₹22990. CI = 22990 − 19000 = ₹3990.
Q3. Find the average of 57, 18, 26, 19.
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Answer: C. 30
Sum = 120; average = 120/4 = 30.
Q4. ₹250 is divided between A and B in the ratio 2:3. What is A's share (in ₹)?
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Answer: A. 100
A's share = 250 × 2/5 = ₹100.
Q5. A can complete a piece of work in 4 days and B can complete it in 12 days. In how many days can they complete it working together?
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Answer: A. 3 days
Together per day = 1/4 + 1/12 = 1/3. So they need 3 days.
Q6. A car travels at 87 km/h. How far will it travel in 6 hours?
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Answer: A. 522 km
Distance = 87 × 6 = 522 km.
Q7. Find the HCF of 84 and 132.
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Answer: D. 12
84 = 12 × 7, 132 = 12 × 11. Since 7 and 11 share no factor, HCF = 12.
Q8. If 5x + 3 = 73, find x.
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Answer: A. 14
5x = 73 − 3 = 70, so x = 70/5 = 14.
Q9. A father is 3 times as old as his son. If the son is 14 years old, what will the father's age be after 2 years?
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Answer: D. 44 years
Father's present age = 3 × 14 = 42. After 2 years: 44 years.
Q10. Find the volume of a cube of edge 16 cm.
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Answer: D. 4096 cm³
Volume = 16³ = 4096 cm³.
Q11. Two angles of a triangle are 78° and 57°. Find the third angle.
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Answer: A. 45°
Third angle = 180 − 78 − 57 = 45°.
Q12. Simplify: 21 + 3 × 12 − 50
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Answer: C. 7
3 × 12 = 36; 21 + 36 − 50 = 7.
Q13. What is 60% of 40?
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Answer: A. 24
60% of 40 = 60/100 × 40 = 24.
Q14. An article is bought for ₹1400 and sold at a profit of 40%. What is the selling price (in ₹)?
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Answer: C. 1960
SP = 1400 × 140/100 = ₹1960.
Q15. The marked price of a shirt is ₹9000. A discount of 15% is given. What is the selling price (in ₹)?
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Answer: B. 7650
SP = 9000 × 85/100 = ₹7650.
Q16. Find the simple interest on ₹17000 at 10% per annum for 3 years (in ₹).
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Answer: A. 5100
SI = 17000 × 10 × 3 / 100 = ₹5100.
Q17. Find the compound interest on ₹10000 for 2 years at 5% per annum, compounded annually (in ₹).
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Answer: C. 1025
Amount = 10000 × (105/100)² = ₹11025. CI = 11025 − 10000 = ₹1025.
Q18. Find the average of 66, 12, 58, 72, 29, 57.
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Answer: A. 49
Sum = 294; average = 294/6 = 49.
Q19. ₹110 is divided between A and B in the ratio 3:7. What is A's share (in ₹)?
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Answer: A. 33
A's share = 110 × 3/10 = ₹33.
Q20. A can complete a piece of work in 36 days and B can complete it in 45 days. In how many days can they complete it working together?
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Answer: D. 20 days
Together per day = 1/36 + 1/45 = 1/20. So they need 20 days.
Q21. A bus travels at 42 km/h. How far will it travel in 2 hours?
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Answer: B. 84 km
Distance = 42 × 2 = 84 km.
Q22. Find the HCF of 45 and 99.
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Answer: D. 9
45 = 9 × 5, 99 = 9 × 11. Since 5 and 11 share no factor, HCF = 9.
Q23. What is the sum of the first 100 natural numbers?
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Answer: D. 5050
Sum = 100 × 101/2 = 5050.
Q24. If 5x + 20 = 55, find x.
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Answer: A. 7
5x = 55 − 20 = 35, so x = 35/5 = 7.
Q25. A father is 3 times as old as his son. If the son is 13 years old, what will the father's age be after 10 years?
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Answer: C. 49 years
Father's present age = 3 × 13 = 39. After 10 years: 49 years.