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Staff Selection Commission (SSC) Model Question Paper

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1. Each member of a club contributes as much rupees and as much paise as the number of members of the club. If the total contribution is Rs. 2525, then the number of members of the club is
1. 60
2. 45
3. 55
4. 50

2. The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7+C (C > -7) is a constant, then the minimum value of the fraction is
1. 5
2. 1/5
3. -5
4. -1/5

3. A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is
1. 220030
2. 22030
3. 1220
4. 1250

4. When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the value of x is
1. 6480
2. 9680
3. 8460
4. 4680

5. On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder ?
1. 15
2. 11
3. 17
4. 13

6. The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is
1. 41
2. 21
3. 42
4. 84

7. The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is
1. 255
2. 260
3. 265
4. 270

8. The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number andthe 3rd number is 1/4 times the 2nd number. The 2nd number is
1. 7/6
2. 8/7
3. 9/8
4. 10/9

9. Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is
1. 17
2. 15
3. 13
4. 10

10. A canal of a village can be cleaned by 24 villagers in 12 days. The number of days in which 36 villagers can clean the canal is ?
1. 18
2. 8
3. 72
4. 16

11. A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in
1. 12 days
2. 13 days
3. 16 days
4. 26 days

12. Ramesh and Rahman can do a work in 20 and 25 days respectively. After doing collectively 10 days of work, they leave the work due to illness and Suresh completes rest of the work in 3 days. How many days Suresh alone can take to complete the whole work ?
1. 32 days
2. 28 days
3. 29 days
 4. 30 days

13. A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?
1. 5/24 days
2. 4/5 days
3. 8/15 days
4. 6/19 days

14. A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone ?
1. 30 days
2. 50 days
3. 40 days
4. 60 days

15. The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is
1. 16
2. 15
3. 17
4. 14

16. A dealer is selling an article at a discount of 5% on the Marked price. If the Marked price is 12% above the cost price and the article was sold for Rs. 532 then the cost price is (in Rs.)
1. 500
2. 525
3. 505
4. 520

17. A shopkeeper increases the price of an object by 40% and then sells it at 25% discount on the marked price. If the selling price of such an object be Rs.2100, its cost price for the shopkeeper was ?
1. 3000
2. 1500
3. 1750
4. 2000

18. Find the fraction which bears the same ratio to 1/27 that 3/7 does to 5/9 .
1. 5/9
2. 1/35
3. 45/7
4. 7/45

19. The ratio of number of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increase by 12 and the ratio of the boys to girls changes to 7 : 6. The number of new girls admitted is
1. 12
2. 14
3. 24
4. 20

20. If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to 1862 then which number is the middle one.
1. 16
2. 14
3. 13
4. 15

21. Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?
1. 7:13
2. 11:57
3. 23:37
4. 1:3

22. The ratio of the number of boys and girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is 
1. 56
2. 78
3. 70
4. 80

23. In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is
1. 3:2
2. 2:3
3. 3:4
4. 5:2

24. An hour-long test has 60 problems. If a student completes 30 problems in 25 minutes, then the required seconds he has taken on average for computing each of the remaining problems is
1. 70 seconds
2. 50 seconds
3. 40 seconds
4. 30 seconds

25. A and B have their annual average income Rs. 80,000.B and C have their annual average income Rs. 75,000. C and A have their annual average income Rs. 78,000. The annual income of A is ?
1. Rs. 81000
2. Rs. 82000
3. Rs. 83000
4. Rs. 84000

26. A car travels from A to B with 40 Km/h and returns from B to A with 60 Km/h. Its average speed during the whole journey is
1. 48 km/h
2. 50 km/h
3. 45 km/h
4. 60 km/h

27. In the first 10 overs of a cricket game, the run rate was only 3.2. The run rate in the remaining 40 overs to reach the target of 282 runs is
1. 6.4
2. 6.3
3. 6.25
4. 6.5

28. The average (arithmetic mean) amou nt of savings of ten students is Rs. 600. Three of the students have no savings at all and each of the others have at least Rs. 250 including Nihar, who has exactly Rs. 1300. The largest amount, in Rs., that any one student could have is
1. 3250
2. 3450
3. 3650
4. 3850

29. By what fraction selling price (S.P.) must be multiplied to get the cost price (C.P.) if the loss is 20% ?
1. 4/5
2. 8/5
3. 5/4
4. 6/5

30. A,B and C together start a business. Three times the investment of A equals four times the Investment of B and the Capital of B is twice that of C. The ratio of share of each in the profit.
1. 8:3:6
2. 3:8:6
3. 3:6:8
4. 8:6:3

31. Ramesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is
1. Rs. 280
2. Rs. 200
3. Rs. 260
4. Rs. 300

32. A shopkeeper purchased 510 eggs at the rate of Rs. 20 per dozen. 30 eggs were broken on the way. In order to make a gain of 20%, he must sell the remaining eggs at the rate of
1. Rs. 22.50 per dozen
2. Rs. 25.50 per dozen
3. Rs. 26 per dozen
4. Rs. 26.50 per dozen

33. A man buys 3 type-I cakes and 6 type-II cakes for Rs. 900. He sells type-I cakes at a profit of 15% and type-II cakes at a loss of 10%. If his overall profit is
1. 100, 100
2. 160, 70
3. 180, 60
4. 120, 90

34. A Village lost 12% of its goats in a flood and 5% of remainder died from diseases. If the number left now is 8360. What was the orignal number before the flood?
1. 1000
2. 10000
3. 1,00,000
4. 8360

35. A scored 72% in a paper with a maximum marks of 900 and 80% in another paper with a maximum marks of 700. If the result is based on the combined percentage of two papers, the combined percentage is
1. 75.5%
2. 76%
3. 76.5%
4. 77%

36. An army lost 10% of its men in war, 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 7,29,000 active men. The original strength of the army was
1. 1500000
2. 1000000
3. 1200000
4. 1100000


Answers :
1.4         2.4       3.1       4.1      5.2       6.3       7.1       8.2       9.3
10.2     11.3     12.4     13.-     14.3     15.1     16.1     17.4     18.2
19.3     20.2     21.1     22.2     23.4     24.1     25.3     26.1     27.3
28.2     29.3     30.4     31.2     32.2     33.2     34.2     35.1     36.2 

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