Q1. An article is bought for ₹1800 and sold at a profit of 25%. What is the selling price (in ₹)?
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Answer: B. 2250
SP = 1800 × 125/100 = ₹2250.
SSC CGL Quantitative Aptitude Beginner Practice Set 11
25 beginner questions. Tap an option to check it, or open “Show answer” for the explanation.
Topics: Profit and Loss, Time and Work, Discount, Simple Interest, Number System, Compound Interest, Simplification, Average, Mensuration, Speed, Time and Distance, Ratio and Proportion, Statistics, LCM and HCF, Algebra, Boats and Streams, Problems on Ages, Geometry, Percentage
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Q2. 12 men can complete a work in 36 days. In how many days can 9 men complete the same work?
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Answer: B. 48 days
12 × 36 = 9 × D ⇒ D = 432/9 = 48 days.
Q3. The marked price of a shirt is ₹4000. A discount of 30% is given. What is the selling price (in ₹)?
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Answer: D. 2800
SP = 4000 × 70/100 = ₹2800.
Q4. Find the simple interest on ₹20000 at 5% per annum for 2 years (in ₹).
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Answer: C. 2000
SI = 20000 × 5 × 2 / 100 = ₹2000.
Q5. What is the smallest 4-digit number exactly divisible by 9?
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Answer: B. 1008
1000 ÷ 9 leaves remainder 1. 1000 + 8 = 1008.
Q6. Find the compound interest on ₹7000 for 2 years at 10% per annum, compounded annually (in ₹).
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Answer: D. 1470
Amount = 7000 × (110/100)² = ₹8470. CI = 8470 − 7000 = ₹1470.
Q7. Simplify: 1/6 + 1/2
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Answer: A. 2/3
1/6 + 1/2 = 2/3.
Q8. Find the average of 58, 19, 26, 41, 41, 91.
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Answer: A. 46
Sum = 276; average = 276/6 = 46.
Q9. The diagonal of a square is 19√2 cm. Find its area.
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Answer: D. 361 cm²
Side = 19 cm, so area = 361 cm².
Q10. Convert 90 km/h into m/s.
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Answer: D. 25 m/s
90 × 5/18 = 25 m/s.
Q11. ₹208 is divided between A and B in the ratio 3:5. What is A's share (in ₹)?
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Answer: B. 78
A's share = 208 × 3/8 = ₹78.
Q12. Find the median of: 3, 45, 15, 42, 57, 7, 54, 13.
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Answer: C. 28.5
In order: 3, 7, 13, 15, 42, 45, 54, 57. Median = 28.5.
Q13. A car covers 450 km in 6 hours. What is its average speed?
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Answer: A. 75 km/h
Speed = 450/6 = 75 km/h.
Q14. Find the value of 54² − 38².
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Answer: B. 1472
(54 + 38)(54 − 38) = 92 × 16 = 1472.
Q15. Find the HCF of 15 and 6.
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Answer: D. 3
15 = 3 × 5, 6 = 3 × 2. Since 5 and 2 share no factor, HCF = 3.
Q16. At 6% per annum simple interest, a sum earns ₹2880 as interest in 4 years. Find the sum (in ₹).
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Answer: C. 12000
P = 2880 × 100 / (6 × 4) = ₹12000.
Q17. If 3x + 3 = 6, find x.
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Answer: D. 1
3x = 6 − 3 = 3, so x = 3/3 = 1.
Q18. A boat goes downstream at 19 km/h and upstream at 15 km/h. What is the speed of the stream?
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Answer: D. 2 km/h
(19 − 15)/2 = 2 km/h.
Q19. 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 6 years?
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Answer: B. 28 years
Father's present age = 2 × 11 = 22. After 6 years: 28 years.
Q20. Each exterior angle of a regular polygon is 24°. How many sides does it have?
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Answer: D. 15
Sides = 360/24 = 15.
Q21. Find the volume of a cube of edge 10 cm.
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Answer: A. 1000 cm³
Volume = 10³ = 1000 cm³.
Q22. 57 is what percent of 380?
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Answer: C. 15%
57/380 × 100 = 15%.
Q23. What is the average of the first 57 even natural numbers?
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Answer: A. 58
Sum = 57 × 58 = 3306; average = 58.
Q24. Simplify: 84 + 2 × 10 − 44
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Answer: D. 60
2 × 10 = 20; 84 + 20 − 44 = 60.
Q25. 9 men can complete a work in 10 days. In how many days can 5 men complete the same work?
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Answer: D. 18 days
9 × 10 = 5 × D ⇒ D = 90/5 = 18 days.