Q1. What is 5% of 1080?
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Answer: B. 54
5% of 1080 = 5/100 × 1080 = 54.
SSC CGL Quantitative Aptitude Beginner Practice Set 12
25 beginner questions. Tap an option to check it, or open “Show answer” for the explanation.
Topics: Percentage, Profit and Loss, Number System, Simplification, Simple Interest, Mensuration, Compound Interest, Statistics, Average, Geometry, Ratio and Proportion, Time and Work, Speed, Time and Distance, LCM and HCF, Boats and Streams, Algebra, Problems on Ages
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Q2. An article is bought for ₹1100 and sold at a profit of 50%. What is the selling price (in ₹)?
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Answer: B. 1650
SP = 1100 × 150/100 = ₹1650.
Q3. What is the largest 3-digit number exactly divisible by 23?
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Answer: A. 989
999 ÷ 23 leaves remainder 10. 999 − 10 = 989.
Q4. Simplify: 4/5 + 1/6
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Answer: A. 29/30
4/5 + 1/6 = 29/30.
Q5. Find the simple interest on ₹18000 at 15% per annum for 4 years (in ₹).
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Answer: C. 10800
SI = 18000 × 15 × 4 / 100 = ₹10800.
Q6. The perimeter of a square is 28 cm. Find its area.
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Answer: B. 49 cm²
Side = 28/4 = 7 cm; area = 7² = 49 cm².
Q7. Find the compound interest on ₹15000 for 2 years at 20% per annum, compounded annually (in ₹).
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Answer: A. 6600
Amount = 15000 × (120/100)² = ₹21600. CI = 21600 − 15000 = ₹6600.
Q8. Find the median of: 14, 36, 26, 23, 10, 33, 53, 20.
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Answer: C. 24.5
In order: 10, 14, 20, 23, 26, 33, 36, 53. Median = 24.5.
Q9. Find the average of 92, 86, 64, 16, 77, 97.
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Answer: D. 72
Sum = 432; average = 432/6 = 72.
Q10. In a right-angled triangle, the two sides containing the right angle are 8 cm and 15 cm. Find the hypotenuse.
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Answer: D. 17 cm
√(8² + 15²) = √289 = 17 cm.
Q11. ₹70 is divided between A and B in the ratio 1:4. What is A's share (in ₹)?
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Answer: D. 14
A's share = 70 × 1/5 = ₹14.
Q12. Find the value of 66² − 13².
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Answer: B. 4187
(66 + 13)(66 − 13) = 79 × 53 = 4187.
Q13. A can complete a piece of work in 12 days and B can complete it in 60 days. In how many days can they complete it working together?
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Answer: A. 10 days
Together per day = 1/12 + 1/60 = 1/10. So they need 10 days.
Q14. A motorcycle travels at 42 km/h. How far will it travel in 5 hours?
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Answer: D. 210 km
Distance = 42 × 5 = 210 km.
Q15. At 12% per annum simple interest, a sum earns ₹3900 as interest in 5 years. Find the sum (in ₹).
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Answer: B. 6500
P = 3900 × 100 / (12 × 5) = ₹6500.
Q16. Find the HCF of 27 and 18.
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Answer: A. 9
27 = 9 × 3, 18 = 9 × 2. Since 3 and 2 share no factor, HCF = 9.
Q17. A boat goes downstream at 28 km/h and upstream at 22 km/h. What is the speed of the stream?
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Answer: A. 3 km/h
(28 − 22)/2 = 3 km/h.
Q18. Convert 72 km/h into m/s.
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Answer: C. 20 m/s
72 × 5/18 = 20 m/s.
Q19. Each exterior angle of a regular polygon is 72°. How many sides does it have?
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Answer: D. 5
Sides = 360/72 = 5.
Q20. If 5x + 9 = 54, find x.
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Answer: C. 9
5x = 54 − 9 = 45, so x = 45/5 = 9.
Q21. 100 is what percent of 400?
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Answer: B. 25%
100/400 × 100 = 25%.
Q22. A father is 3 times as old as his son. If the son is 20 years old, what will the father's age be after 4 years?
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Answer: B. 64 years
Father's present age = 3 × 20 = 60. After 4 years: 64 years.
Q23. What is the average of the first 60 odd natural numbers?
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Answer: B. 60
Sum = 60² = 3600; average = 3600/60 = 60.
Q24. Find the area of a rectangle with length 15 m and breadth 4 m.
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Answer: B. 60 m²
Area = 15 × 4 = 60 m².
Q25. 8 men can complete a work in 6 days. In how many days can 4 men complete the same work?
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Answer: D. 12 days
8 × 6 = 4 × D ⇒ D = 48/4 = 12 days.