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(Download) SSC: CGL Tier-II Exam Paper-I (Arithmetical Ability) Held On: 04-09-2011

SSC Combined Graduate Level Exam: 2012 (Tier-2)

Paper – I (Held On 04.09.2011)

1. If 738A6A is divisible by 11, then the value of A is
(A) 6
(B) 3
(C) 9
(D) 1

2. The sum of the squares to two natural consecutive odd numbers is 394. The sum of the numbers is
(A) 24
(B) 32
(C) 40
(D) 28

3. A can do a piece of work in 24 days, B in 52 days and C in 64 days. All being to do it together, but A leaves after 6 days and B leaves 6 days before the completion of the work. How many days did the work last?
(A) 15
(B) 20
(C) 18
(D) 30

4. The least positive integer that should be subtracted from 3011 × 3012 so that the different is a perfect square is
(A) 3009
(B) 2010
(C) 3011
(D) 3012

5. 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.

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6. 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

7. 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

8. 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

9. 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

10. 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