SSC CGL (TIER-I) Paper held on 21.4.2013 (Quantitative Aptitude)
1. Number of digits in the square root of 62478078 is:
(a) 3
(b) 4
(c) 5
(d) 6
2. If 10 men or 20 women or children can do a piece of work in 7 months, then 5 men,5 women and 5 children together can do half to work in:
(A) 8 months
(B) 6 months
(C) 4 months
(D) 5 months
3. A man undertakes to do a certain work in 150 days. He employs 200 men. He finds that only a quarter of the work is done in 50 days. The number of additional men that should be appointed so that the whole work will be finished in time:
(A) 50
(B) 75
(C) 100
(D) 125
3. A can finish a work in 18 days and B can do the same work in 15 days. B worked 10 days and left the job. In how many days, A along can finish the remaining work?
(A) 8
(B) 6
(C) 51/2
(D) 5
4. The ratio of inradius and circumradius of a square is:
(A) 1 : 2
(B) 1 : √2
(C) √2 : √3
(D) 1 : 3
5. The perimeter of the base of a right circular cone is 8 cm. If the height of the cone is 21 cm, then its volume is:
(A) 108/π cm3
(B) 108π cm3
(C) 112/π cm3
(D)112π cm3
6. A circular road runs around a circular ground. If the difference between the circumferences of the of the outer circle and the inner circle is 66 meters, the width of the road is:( Take π = 22/7)
(A) 21 meters
(B) 10.5 meters
(C) 7 meters
(D) 5.25 meters
7. A shopkeeper marked price of an article at Rs-80.What will be the selling price, if he allows two successive discounts at 5% each?
(A) Rs-7.2
(B) Rs-72.2
(C) Rs-72
(D) Rs-85
8. Which of the following successive discounts is better to customer:
(a) 20%, 15%, 10%
or (b) 25%,12%,8%?
(A) (a) is better
(B) (b) is better
(C) (a) or (b) (both are same)
(D) None of these
9. Given A is 50% larger then C and B is 25% larger then C, then A is what percent larger then B ?
(A) 20%
(B) 25%
(C) 50%
(D) 75%
10. Three numbers are in the ratio 1:2:3.By adding 5 to each of them, the new numbers are in the ratio 2:3:4. The numbers are:
(A) 5,10,15
(B) 10,20,30
(C) 15,30,45
(D) 1,2,3
11.Out of 10 of a school, one teacher retires and in his place, a new teacher of age 25 years joins. As a result, average age of teachers is reduced by 3 years. The age (in years) of the retired teacher is:
(A) 50
(B) 58
(C) 60
(D)55
12. The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, the average of the remaining numbers is:
(A) 36
(B) 35
(C) 32.5
(D) 37.5
13. On selling an article for Rs- 170, a shopkeeper loses 15%. In order to gain 20%, he must sell that article at rupees:
(A) 210
(B) 215.50
(C) 212.50
(D) 240
14. The value of machine depreciates every year by 10%. If its present value is Rs- 50,000 then the value of the machine after 2 year is________________.
(A) 40,500
(B) 40,050
(C) 45,000
(D) 45,005
15. A man can swim 3 km/hr. in still water. If the velocity of the stream is 2 km/hr., the time taken by him to swim to a place 20 km upstream and back is:
(A) 81/3 hr.
(B) 91/3 hr.
(C) 10 hr.
(D) 12 hr.
16. A train moving at a rate of 30 km/ hr. crosses a standing man in 10 seconds. It will cross a platform 55 meters long, in:
(A) 5 1/2 seconds
(B) 6 seconds
(C) 7 seconds
(D) 151/2 seconds
17. The time in which Rs- 80,000 amounts to Rs 92,610 at 10 % p.a. at compound interest, interest being compounded semi annually is:
(A) 3 years
(B) 11/2 years
(C) 2 years
(D) 21/2 years
18.The angle of elevation of o tower from a distance 100 m from its foot is 30. Height of the tower is:
(A) 100 √m
(B) 100 / √3 m
(C) 50 √3 m
(D) 200 / √3 m
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