Q1. Find the HCF of 14 and 10.
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Answer: A. 2
14 = 2 × 7, 10 = 2 × 5. Since 7 and 5 share no factor, HCF = 2.
SSC CGL Quantitative Aptitude Beginner Practice Set 4
25 beginner questions. Tap an option to check it, or open “Show answer” for the explanation.
Topics: LCM and HCF, Number System, Algebra, Problems on Ages, Mensuration, Geometry, Simplification, Percentage, Profit and Loss, Discount, Simple Interest, Average, Ratio and Proportion, Time and Work, Speed, Time and Distance
Score: 0 / 0
Q2. What is the sum of the first 30 natural numbers?
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Answer: B. 465
Sum = 30 × 31/2 = 465.
Q3. If 6x + 18 = 78, find x.
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Answer: A. 10
6x = 78 − 18 = 60, so x = 60/6 = 10.
Q4. A father is 2 times as old as his son. If the son is 9 years old, what will the father's age be after 6 years?
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Answer: A. 24 years
Father's present age = 2 × 9 = 18. After 6 years: 24 years.
Q5. Find the area of a rectangle with length 8 m and breadth 17 m.
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Answer: C. 136 m²
Area = 8 × 17 = 136 m².
Q6. Two angles of a triangle are 38° and 36°. Find the third angle.
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Answer: B. 106°
Third angle = 180 − 38 − 36 = 106°.
Q7. Simplify: 91 + 4 × 3 − 31
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Answer: A. 72
4 × 3 = 12; 91 + 12 − 31 = 72.
Q8. What is 30% of 1480?
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Answer: A. 444
30% of 1480 = 30/100 × 1480 = 444.
Q9. An article is bought for ₹300 and sold at a profit of 10%. What is the selling price (in ₹)?
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Answer: D. 330
SP = 300 × 110/100 = ₹330.
Q10. The marked price of a shirt is ₹5000. A discount of 15% is given. What is the selling price (in ₹)?
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Answer: B. 4250
SP = 5000 × 85/100 = ₹4250.
Q11. Find the simple interest on ₹18500 at 8% per annum for 2 years (in ₹).
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Answer: A. 2960
SI = 18500 × 8 × 2 / 100 = ₹2960.
Q12. Find the average of 88, 34, 71, 55.
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Answer: C. 62
Sum = 248; average = 248/4 = 62.
Q13. ₹624 is divided between A and B in the ratio 5:7. What is A's share (in ₹)?
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Answer: C. 260
A's share = 624 × 5/12 = ₹260.
Q14. A can complete a piece of work in 20 days and B can complete it in 30 days. In how many days can they complete it working together?
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Answer: B. 12 days
Together per day = 1/20 + 1/30 = 1/12. So they need 12 days.
Q15. A truck covers 270 km in 5 hours. What is its average speed?
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Answer: D. 54 km/h
Speed = 270/5 = 54 km/h.
Q16. Find the HCF of 16 and 56.
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Answer: A. 8
16 = 8 × 2, 56 = 8 × 7. Since 2 and 7 share no factor, HCF = 8.
Q17. What is the sum of the first 40 natural numbers?
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Answer: C. 820
Sum = 40 × 41/2 = 820.
Q18. If 4x + 13 = 57, find x.
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Answer: A. 11
4x = 57 − 13 = 44, so x = 44/4 = 11.
Q19. A father is 2 times as old as his son. If the son is 12 years old, what will the father's age be after 8 years?
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Answer: C. 32 years
Father's present age = 2 × 12 = 24. After 8 years: 32 years.
Q20. Find the area of a rectangle with length 5 m and breadth 18 m.
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Answer: C. 90 m²
Area = 5 × 18 = 90 m².
Q21. Two angles of a triangle are 59° and 37°. Find the third angle.
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Answer: A. 84°
Third angle = 180 − 59 − 37 = 84°.
Q22. Simplify: 33 + 6 × 4 − 36
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Answer: D. 21
6 × 4 = 24; 33 + 24 − 36 = 21.
Q23. What is 50% of 180?
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Answer: D. 90
50% of 180 = 50/100 × 180 = 90.
Q24. An article is bought for ₹2000 and sold at a profit of 40%. What is the selling price (in ₹)?
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Answer: A. 2800
SP = 2000 × 140/100 = ₹2800.
Q25. The marked price of a shirt is ₹8500. A discount of 15% is given. What is the selling price (in ₹)?
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Answer: A. 7225
SP = 8500 × 85/100 = ₹7225.