Q1. Find the volume of a cube of edge 8 cm.
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Answer: A. 512 cm³
Volume = 8³ = 512 cm³.
SSC CGL Quantitative Aptitude Beginner Practice Set 6
25 beginner questions. Tap an option to check it, or open “Show answer” for the explanation.
Topics: Mensuration, Geometry, Simplification, Percentage, Profit and Loss, Discount, Simple Interest, Compound Interest, Average, Ratio and Proportion, Time and Work, Speed, Time and Distance, LCM and HCF, Number System, Algebra, Problems on Ages
Score: 0 / 0
Q2. Two angles of a triangle are 48° and 49°. Find the third angle.
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Answer: C. 83°
Third angle = 180 − 48 − 49 = 83°.
Q3. Simplify: 96 + 2 × 8 − 21
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Answer: D. 91
2 × 8 = 16; 96 + 16 − 21 = 91.
Q4. What is 15% of 1940?
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Answer: B. 291
15% of 1940 = 15/100 × 1940 = 291.
Q5. An article is bought for ₹700 and sold at a profit of 25%. What is the selling price (in ₹)?
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Answer: B. 875
SP = 700 × 125/100 = ₹875.
Q6. The marked price of a shirt is ₹3500. A discount of 15% is given. What is the selling price (in ₹)?
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Answer: D. 2975
SP = 3500 × 85/100 = ₹2975.
Q7. Find the simple interest on ₹4000 at 10% per annum for 2 years (in ₹).
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Answer: D. 800
SI = 4000 × 10 × 2 / 100 = ₹800.
Q8. Find the compound interest on ₹8000 for 2 years at 20% per annum, compounded annually (in ₹).
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Answer: D. 3520
Amount = 8000 × (120/100)² = ₹11520. CI = 11520 − 8000 = ₹3520.
Q9. Find the average of 38, 76, 16, 74.
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Answer: A. 51
Sum = 204; average = 204/4 = 51.
Q10. ₹261 is divided between A and B in the ratio 4:5. What is A's share (in ₹)?
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Answer: B. 116
A's share = 261 × 4/9 = ₹116.
Q11. A can complete a piece of work in 21 days and B can complete it in 42 days. In how many days can they complete it working together?
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Answer: A. 14 days
Together per day = 1/21 + 1/42 = 1/14. So they need 14 days.
Q12. A motorcycle travels at 69 km/h. How far will it travel in 3 hours?
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Answer: D. 207 km
Distance = 69 × 3 = 207 km.
Q13. Find the HCF of 20 and 8.
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Answer: A. 4
20 = 4 × 5, 8 = 4 × 2. Since 5 and 2 share no factor, HCF = 4.
Q14. What is the sum of the first 25 natural numbers?
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Answer: D. 325
Sum = 25 × 26/2 = 325.
Q15. If 6x + 18 = 36, find x.
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Answer: B. 3
6x = 36 − 18 = 18, so x = 18/6 = 3.
Q16. A father is 2 times as old as his son. If the son is 13 years old, what will the father's age be after 9 years?
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Answer: B. 35 years
Father's present age = 2 × 13 = 26. After 9 years: 35 years.
Q17. Find the volume of a cube of edge 19 cm.
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Answer: C. 6859 cm³
Volume = 19³ = 6859 cm³.
Q18. Two angles of a triangle are 52° and 59°. Find the third angle.
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Answer: A. 69°
Third angle = 180 − 52 − 59 = 69°.
Q19. Simplify: 53 + 5 × 3 − 25
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Answer: D. 43
5 × 3 = 15; 53 + 15 − 25 = 43.
Q20. What is 20% of 260?
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Answer: B. 52
20% of 260 = 20/100 × 260 = 52.
Q21. An article is bought for ₹200 and sold at a profit of 20%. What is the selling price (in ₹)?
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Answer: C. 240
SP = 200 × 120/100 = ₹240.
Q22. The marked price of a shirt is ₹7500. A discount of 15% is given. What is the selling price (in ₹)?
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Answer: C. 6375
SP = 7500 × 85/100 = ₹6375.
Q23. Find the simple interest on ₹5500 at 12% per annum for 5 years (in ₹).
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Answer: D. 3300
SI = 5500 × 12 × 5 / 100 = ₹3300.
Q24. Find the compound interest on ₹17000 for 2 years at 10% per annum, compounded annually (in ₹).
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Answer: B. 3570
Amount = 17000 × (110/100)² = ₹20570. CI = 20570 − 17000 = ₹3570.
Q25. Find the average of 87, 73, 27, 98, 60.
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Answer: B. 69
Sum = 345; average = 345/5 = 69.