SSC: Arithmetic Solved Paper: Held on 31.08.2008

1. The product of two numbers is 120 and the sum of their squares is 289. The sum of the two numbers is
(a) 23 
(b) 7
(c) 13 
(d) 169

2. Numbers 2, 4, 6, 8, 10, …, 196, 198, 200 are multiplied together. The number of zeros and the end of the product on the right will be equal to—
(a) 21 
(b) 22
(c) 24 
(d) 25

3. A takes twice as much time as B and thrice as much as C to complete a piece work. They together complete the work in 1 day. In what time, will A alone complete the work. 
(a) 9 days 
(b) 5 days
(c) 6 days 
(d) 4 days

4. 2 men and 1 women together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days, how much should a women get per day?
(a) Rs. 400 
(b) Rs. 450
(c) Rs. 480 
(d) Rs. 360

5. If the lengths of the three sides of a triangle are 6 cm, 8 cm and 10 cm, then the length of the median to its greatest side is
(a) 8 cm 
(b) 6 cm
(c) 5 cm 
(d) 4.8 cm

6. The surface areas of two spheres are in the ration 4 : 9. Their volumes will be in the ratio 
(a) 2 : 3 
(b) 4 : 9
(c) 8 : 27 
(d) 64 : 729

7. The discount series 10%, 20%, 40% is equivalent to a single discount of
(a) 50% 
(b) 56.8%
(c) 60% 
(d) 62.28%

8. A shopkeeper allows 4% discount on his marked price. If the cost price of an article is Rs. 100 and he has to make a profit of 20%, then his marked price must be
(a) Rs. 96 
(b) Rs. 120
(c) Rs. 125 
(d) Rs. 130

9. The ratio of the quantities of sugar, in which sugar costing Rs. 20 per kg. and Rs. 15 per kg. should be mixed so that there will be neither loss nor gain on selling the mixed sugar at the rate of Rs. 16 per kg. is
(a) 2 : 1 
(b) 1 : 2
(c) 4 : 1 
(d) 1 : 4

10. A sum of Rs 86, 700 is to be divided among A, B and C in such a manner that for every rupee that A gets, B gets 90 paise and for every rupee that B gets. C gets 100 paise. B’s share will be
(a) Rs. 26, 010 
(b) Rs. 27, 000
(c) Rs. 28, 000 
(d) Rs. 28, 090

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