Q1. Find the median of: 19, 51, 30, 29, 52, 25, 42.
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Answer: C. 30
In order: 19, 25, 29, 30, 42, 51, 52. Median = 30.
SSC CGL Quantitative Aptitude Beginner Practice Set 10
25 beginner questions. Tap an option to check it, or open “Show answer” for the explanation.
Topics: Statistics, Average, Geometry, Speed, Time and Distance, Ratio and Proportion, Simplification, Time and Work, Simple Interest, LCM and HCF, Boats and Streams, Algebra, Percentage, Problems on Ages
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Q2. Find the average of 67, 95, 23, 11, 54.
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Answer: C. 50
Sum = 250; average = 250/5 = 50.
Q3. In a right-angled triangle, the two sides containing the right angle are 9 cm and 40 cm. Find the hypotenuse.
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Answer: D. 41 cm
√(9² + 40²) = √1681 = 41 cm.
Q4. Convert 54 km/h into m/s.
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Answer: B. 15 m/s
54 × 5/18 = 15 m/s.
Q5. ₹440 is divided between A and B in the ratio 3:7. What is A's share (in ₹)?
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Answer: C. 132
A's share = 440 × 3/10 = ₹132.
Q6. Find the value of 80² − 24².
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Answer: B. 5824
(80 + 24)(80 − 24) = 104 × 56 = 5824.
Q7. A can complete a piece of work in 24 days and B can complete it in 48 days. In how many days can they complete it working together?
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Answer: A. 16 days
Together per day = 1/24 + 1/48 = 1/16. So they need 16 days.
Q8. Convert 81 km/h into m/s.
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Answer: A. 22.5 m/s
81 × 5/18 = 22.5 m/s.
Q9. A motorcycle travels at 42 km/h. How far will it travel in 3 hours?
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Answer: A. 126 km
Distance = 42 × 3 = 126 km.
Q10. At 5% per annum simple interest, a sum earns ₹2000 as interest in 5 years. Find the sum (in ₹).
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Answer: B. 8000
P = 2000 × 100 / (5 × 5) = ₹8000.
Q11. Find the HCF of 24 and 56.
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Answer: D. 8
24 = 8 × 3, 56 = 8 × 7. Since 3 and 7 share no factor, HCF = 8.
Q12. A boat goes downstream at 30 km/h and upstream at 20 km/h. What is the speed of the stream?
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Answer: B. 5 km/h
(30 − 20)/2 = 5 km/h.
Q13. Convert 18 km/h into m/s.
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Answer: A. 5 m/s
18 × 5/18 = 5 m/s.
Q14. How many diagonals does a polygon with 7 sides have?
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Answer: B. 14
7 × 4/2 = 14.
Q15. If 2x + 2 = 28, find x.
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Answer: B. 13
2x = 28 − 2 = 26, so x = 26/2 = 13.
Q16. 102 is what percent of 340?
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Answer: D. 30%
102/340 × 100 = 30%.
Q17. A father is 4 times as old as his son. If the son is 18 years old, what will the father's age be after 3 years?
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Answer: C. 75 years
Father's present age = 4 × 18 = 72. After 3 years: 75 years.
Q18. What is the average of the first 38 even natural numbers?
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Answer: C. 39
Sum = 38 × 39 = 1482; average = 39.
Q19. 25 men can complete a work in 32 days. In how many days can 20 men complete the same work?
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Answer: C. 40 days
25 × 32 = 20 × D ⇒ D = 800/20 = 40 days.
Q20. Two angles of a triangle are 74° and 72°. Find the third angle.
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Answer: D. 34°
Third angle = 180 − 74 − 72 = 34°.
Q21. Simplify: 25 + 5 × 8 − 45
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Answer: C. 20
5 × 8 = 40; 25 + 40 − 45 = 20.
Q22. 96 is what percent of 480?
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Answer: D. 20%
96/480 × 100 = 20%.
Q23. Convert 63 km/h into m/s.
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Answer: C. 17.5 m/s
63 × 5/18 = 17.5 m/s.
Q24. What is 15% of 900?
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Answer: D. 135
15% of 900 = 15/100 × 900 = 135.
Q25. What is the average of the first 57 odd natural numbers?
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Answer: C. 57
Sum = 57² = 3249; average = 3249/57 = 57.