Preparing for the OSSC CGL exam requires strong proficiency in arithmetic and numerical ability. Focusing on the top 30 multiple-choice questions (MCQs) in this area can significantly enhance your performance. These MCQs cover essential topics such as percentages, ratios, averages, simple and compound interest, profit and loss, time and work, and data interpretation. Practicing these questions helps in understanding key concepts and improves speed and accuracy. Comprehensive preparation with these critical MCQs ensures a solid foundation in arithmetic and numerical ability, crucial for excelling in the OSSC CGL exam
Top 30 Arithmetic and Numerical Ability MCQs for OSSC CGL
- How long will a train 130m long travelling at 40 km an hour take to pass a kilometer stone?
A. 10.8 seconds
B. 11.7 seconds
C. 12.4 seconds
D. 13.5 seconds
Answer: B. 11.7 seconds
2. How long will a train 60 m long travelling at 40 km an hour take to pass through a station whose platform is 90 m long?
A. 10 seconds
B. 12.3 seconds
C. 13.5 seconds
D. 15.2 seconds
Answer: C. 13.5 seconds
3. A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
4. The length of the train that takes 8 seconds to pass a pole when it runs at a speed of 36 km/hr is:
A. 60 m
B. 70 m
C. 80 m
D. 90 m
Answer: C. 80 m
Solution:
Speed=36 km/h
=36×1000/3600 m/s=10 m/s
Speed=36 km/h= 3600/36×1000 m/s=10 m/s
Length of Train=Speed×Time=10 m/s×8 s=80 m
5. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
A. 3 km/hr
B. 5 km/hr
C. 8 km/hr
D. 9 km/hr
Answer: C. 8 km/hr
Solution:
Speed in still water = 1/2x(11 + 5) kmph = 8 kmph.
6. How many seconds will a train 60 m in length, travelling at the rate of 42 km an hour, take to pass another train 84 m long, proceeding in the same direction at the rate of 30 km an hour?
A. 40 seconds
B. 41.2 seconds
C. 43.2 seconds
D. 4a6 seconds
Answer: C. 43.2 seconds
Solution:
Relative Speed=42 km/h−30 km/h=12 km/h= 12×3600 /1000 m/s
=3.33 m/s
Total Distance=60 m+84 m=144 m
Time= Distance/Speed
= 144 m/3.33 m/s
≈43.24 s
7. Two trains A and B running at the rates 45 and 36 km an hour respectively, on parallel rails in opposite directions, are observed to pass each other in 8 seconds, and when they are running in the same direction at the same rate as before, a person sitting in the faster train observes that he passes the other in 30 seconds. Find the lengths of the trains.
A. 60 m and 70 m
B. 72 m and 80 m
C. 80 m and 90 m
D. 90 m and 100 m
Answer: D. 90 m and 100 m
solution:
8. Two trains A and B measuring 100 m and 80 m respectively, run on parallel lines of rails. When travelling in opposite directions they are observed to pass each other in 9 seconds, but when they are running in the same direction at the rates as before, the faster train passes the other in 18 seconds. Find the speed of the two trains in km per hour.
A. 40 km/h and 60 km/h
B. 45 km/h and 54 km/h
C. 50 km/h and 70 km/h
D. 60 km/h and 72 km/h
Answer: B. 45 km/h and 54 km/h
Solution
9. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is:
A. 1/4
B. 1/10
C. 7/15
D. 8/15
Answer: D. 8/15
10. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
A. 9 (1/5 )days
B. 9 (2/5) days
C. 9 ( 3/5) days
D. 10 days
Answer: C. 9 ( 3/5) days
Solution:
11.A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
A. 20 days
B. 22 1/2 days
C. 25 days
D. 30 days
Answer: B. 22 1/2 days
Solution:
12. If the first term of a G.P. is 20 and the common ratio is 4, find the 5th term.
A. 1280
B. 5120
C. 20480
D. 10240
Answer: B. 5120
Solution:
13. The sum of the first three terms of a G.P. is 21/2 and their product is 27. Find the common ratio.
A. 2 and 1/2
B. 2 and 1/3
C. 3 and 1/2
D. 3 and 1/4
Answer: A. 2 and 1/2
14. The number 2048 is which term in the following Geometric sequence 2, 8, 32, 128, …
A. 5th
B. 6th
C. 7th
D. 8th
Answer: B. 6th
15. A bookseller bought 500 text books for 20,000. He wanted to sell them at a profit so that he get 50 books free. At what profit percent should he sell them?
(a) 10 %
(b) 20 %
(c) 15 %
(d) 10.5 %
Answer: (a) 10 %
Solution. Price of 1 text book = 20000/500 = Rs. 40
Price of free 50 text books = 50 × 40 = Rs. 2000
So, profit = 2000/20000× 100 = 10%
16. 20% of a man’s salary is paid as rent, 60% are his living expenses and 10% are his savings. If he spends remaining Rs. 30 on the education of his children, find his salary?
(a) 300
(b) 900
(c) 3000
(d) 9000
Answer: (a) 300
Solution: Total expenditure = 20 + 60 + 10 = 90%
so, remaining salary = [100 – 90]% = 10%
⇒ 10% = 30
So 100% = 300
17. The radius of a sphere and hemisphere are same. The ratio of their total surface area is:
(a) 3:1
(b) 2:1
(c) 3:2
(d) 4:3
Answer: (d) 4:3
Solution:
ratio of surface area = sphere/hemisphere =4πr^2/3πr^2 = 4/3
18. There are 1400 students in a school, 25% of those wear spectacles and 2/7 of those wearing spectacles are boys. How many girls in the school wear spectacles?
(a) 200
(b) 100
(c) 250
(d) 300
Answer:(c) 250
Solution: Total students = 1400
Number of students who wear specs = 350
⇒ Girls wear specs = 350 − 350 ×2/7 = 250
19. Find the length of a bridge which a train 130 m long, travelling at 45 km an hour, can cross in 30 seconds.
A. 220 m
B. 245 m
C. 325 m
D. 400 m
Answer: B. 245 m
20. A train 50 metres long passes a platform 100 metres long in 10 seconds. The speed of the train is:
A. 45 km/h
B. 50 km/h
C. 54 km/h
D. 60 km/h
Answer: D. 54 km/h
Solution:
Total Distance=50 m+100 m=150 m
Speed=Distance/Time=150 m/10 s=15 m/s
Speed in km/h
=15×3600/1000=54 km/h
21. Ratio of A’s saving to that of his income is 1: 5. If his expenditure on clothes increases from 20% to 27.5% with respect to his income then find his current expenditure on clothes is what % of his saving (if saving remains the same)?
(a) 127.5%
(b) 137.5%
(c) 125%
(d) 140%
Answer: (b) 137.5%
Solution:
22. 10 ^ 7.5 * 10 ^ 4.5 /10 ^ 2 = 10 ^?
(a) 10
(2) 6
(c) 8.5
(d) 9.5
Answer: (a) 10
23. 36 ^ 2 – 24 ^ 2 =?
(a) 840
(2) 640
(c) 720
(d) 960
Answer:(c) 720
24. 32 * 15 – 1850 / 37 =?
(a) 295
(2) 326
(c) 410
(d) 430
Answer:(d) 430
25. 11 (2/9) * 36/101 = ?
(a) 16
(2) 18
(c) 4
(d) 7
Answer:(c) 4
26. 1087.05 + 187.005 + 87.005 =?
(a) 1361.066
(2) 1361.556
(c) 1361.055
(d) 1361.06
Answer:(d) 1361.06
27. sqrt ? + 187 = 220
(a) 1089
(2) 529
(c) 23
(d) 33
Answer:(a) 1089
28. (27 * 2 ^ 3 / 18)/6 =
(a) 3
(2) 2
(3 9/2
(d) 8
Answer:(2) 2
29. 632 / 8 + 11 ^ 2 =?
(a) 180
(2) 185
(c) 191
(d) 200
Answer: (d) 200
30. 80% of 135 +?% of 750 = 228
(a) 25
(2) 20
(c) 16
(d) 24
Answer:(c) 16
