(Previous Year Papers) SSC CGL: (Tier-II) Paper 1 Arithmetical Ability [Held on: 04-09-2011]

1. A cistern has 3 pipes A, B and C. A and B call fill it in 3 and hours respectively, and C can empty it in 1 hour. If the pipes are opened at 3 p.m., 4 p.m. and 5 p.m. respectively on the same day, the cistern will be empty at

(A) 7 : 12 p.m.
(B) 7 : 15 p.m.
(C) 7 : 10 p.m.
(D) 7 : 18 p.m.

2. If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take to complete the work if both of them worked together?

(A) 10 days
(B) 12 days
(C) 6 days
(D) 8 days

3. 250 men can finish a work in 20 days working 5 hours a day. To finish the work within 10 days working 8 hours a day, the minimum number of men required is

(A) 310
(B) 300
(C) 313
(D) 312

4. 2 men and 5 women can be a work in 12 days. 5 men and 2 women can do that work in 9 days. Only 3 women can finish the same work in

(A) 36 days
(B) 21 days
(C) 30 days
(D) 42 days

5. By selling an article at th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price i

(A) 5 : 3
(B) 3 : 5
(C) 3 : 4
(D) 4 : 3

6. A and B earn in the ratio 2 : 1. They spend in the ratio 5 : 3 and save in the ratio 4 : 1. If the total monthly savings of both A and B are Rs. 5,000, the monthly income of B is

(A) Rs. 7,000
(B) Rs. 14,000
(C) Rs. 5,000
(D) Rs. 10,000

7. The ratio of the sum of two numbers and their difference is 5 : 1. The ratio of the greater number to the smaller number is

(A) 2 : 3
(B) 3 : 2
(C) 5 : 1
(D) 1 : 5

8. Successive discounts of 10%, 20% will be equivalent to a single discount is

(A) 36%
(B) 64%
(C) 80%
(D) 56%

9. A retailer offers the following discount scheme for buyers on an article.

I. Two successive discounts of 10%.
II. A discount of 12% follows by a discount of 8%.
III. Successive discounts of 15% and 5%.
IV. A discount of 20%.

The selling price will be minimum under the scheme.

(A) I
(B) II
(C) III
(D) IV

10. An employer reduces the number of his employees in the ration 9 : 8 and increases their wages in the ration 14 : 15. If the original wage was Rs, 18,900, find the ratio in which the wage bill is decreased.

(A) 20 : 21
(B) 21 : 20
(C) 20 : 19
(D) 19 : 21

11. The batting average for 40 innings of a cricketer is 50 runs. His highest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is

(A) 165
(B) 170
(C) 172
(D) 174

12. A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be

(A) 5 : 7
(B) .5 : 9
(C) 7 : 5
(D) 9 : 5

13. In a laboratory, two bottles contain mixture of acid and water in the ratio 2 : 5 in the first bottle and 7 : 3 in the second. The ratio in which the contents of these two bottles be mixed such that the new mixture has acid and water in the ratio 2 : 3 is

(A) 4 : 15
(B) 9 : 8
(C) 21 : 8
(D) 1 : 2

14. The average the three numbers is 154. The first number is twice the second and the second number is twice the third. The first number is

(A) 264
(B) 132
(C) 88
(D) 66

15. The average salary of all the staff in an office of a corporate house is Rs. 5,000. The average salary of the officers is Rs. 14,000 and that of the rest is Rs. 4,000. If the total number of staff is 500, the number of officers is

(A) 10
(B) 15
(C) 25
(D) 50

16. The average marks of 40 students in an English exam is 72. Later it is found that three marks 64, 62 and 84 were wrongly entered as 68, 65 and 73. The average after mistakes were rectified is

(A) 70
(B) 72
(C) 71.9
(D) 72.1

17. Of three numbers, the second is thrice the first and the third number is three-fourth of the first. If the average of the three numbers is 114, the largest number is

(A) 72
(B) 216
(C) 354
(D) 726

18. A jar contains 10 red marbles and 30 green ones. How many red marbles must be added to the jar so that 60% of the marbles will be red?

(A) 25
(B) 30
(C) 35
(D) 40

19. If a number multiplied by 25% of itself gives a number which is 200% more than the number, then the number is

(A) 12
(B) 16
(C) 20
(D) 24

20. The value on an article depreciates every year at the rate of 10% of its value. If the present value of the article is Rs. 729, then its worth 3 years ago was

(A) Rs. 1250
(B) Rs. 1000
(C) Rs. 1125
(D) Rs. 1200

21. The price of onions has been increased by 50%. In order to keep the expenditure on onions the same the percentage of reduction in consumption has to be

(A) 50%
(B) 100/3%
(C) 33%
(D) 30%

22. Walking at 3 km per hour, Pintu reaches his school 5 minutes late. If he walks at 4 km per hour he will be 5 minutes late. If he walks at 4 km per hour he will be 5 minutes early. The distance of Pintu’s school from his house is

(A) 3/2 km
(B) 2 km
(C) 5/2 km
(D) 5 km

23. Nitin bought some organs at Rs. 40 a dozen and an equal number at Rs. 30 a dozen. He sold them at Rs. 45 a dozen and made a profit of Rs. 480. The number of organs, he bought, was

(A) 48
(B) 60
(C) 72
(D) 84

24. A man buys two chairs for a total cost of Rs. 900. By selling one for 4/5 of its cost and the other for 4/5 or its cost, he makes a profit of Rs. 90 on the whole transaction. The cost of the lower priced chair is

(A) Rs. 360
(B) Rs. 400
(C) Rs. 420
(D) Rs. 300

25. By selling 100 oranges, a vendor gains the selling price of 20 oranges. His gain percent is

(A) 20
(B) 25
(C) 30
(D) 32

26. Maninder bought two horses at Rs. 40,000 each. He sold one horse at 15% gain, but had to sell the second horse at a loss. If he had suffered a loss of Rs. 3,600 on the whole transaction, then the selling price of the second horse is

(A) Rs. 30,000
(B) Rs. 30,200
(C) Rs. 30,300
(D) Rs. 30,400

27. The heights of a cone, cylinder and hemisphere and equal. If their radii are in the ratio 2:3:1, then the ratio of the their volumes is

(A) 2 : 9 : 2
(B) 4 : 9 : 1
(C) 4 : 27 : 2
(D) 2 : 3 : 1

28. A motor-boat can travel at 10 km/hour in still water. It travelled 91 km downstream in a river and then returned to the same place, taking altogether 20 hours. Find the rate of flow of river.

(A) 3 km/hour
(B) 4 km/hour
(C) 2 km/hour
(D) 5 km/hour

29. A man driving at 3/4 th of his original speed reaches his destination 20 minutes later than the usual time. Then the usual time is

(A) 45 minutes
(B) 60 minutes
(C) 48 minutes
(D) 120 minutes

30. A motor boat, travelling at the same speed, can cover 25 km in 8 hours. At the same speed, it can travel 35 km upstream and 52 km downstream in 11 hours. The speed of the steam is

(A) 2 km/hr
(B) 2 km/hr
(C) 4 km/hr
(D) 5 km/hr

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