Maths for SSC CGL Tier II

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Tier II


1. If x men can do a piece of work in x days, then the number of days in which y men can do the same work is

A) xy days

B) y²/x days

C) x²/y days

D) x²y days

2. Three persons undertake to complete a piece of work for ₹ 1,200. The first person can complete the work in 8 days, second person in 12 days and third person in 16 days. They complete the work with the help of a fourth person in 3 days. What does the fourth person get ?

A) 180

B) 200

C) 225

D) 250

3. Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days. To complete the job alone, A would require

A) 51/5 days

B) 61/4 days

B) 71/2 days

D) 83/4 days

4. A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the work. Then C alone finishes the remaining work in 10 days. In how many days will C finish the full work?

A) 25 days

B) 30 days

C) 24 days

D) 20 days

5. Sunil completes a work in 4 days, whereas Dinesh completes the work in 6 days. Ramesh works 11/2 times as fast as Sunil. The three together can complete the work in

A) 15/12 days

B) 15/7 days

C) 13/8 days

D) 15/19 days

6. A farmer can plough a field working 6 hours per day in 18 days. The worker has to work how many hours per day to finish the same work in 12 days?

A) 7

B) 9

C) 11

D) 13

7. Two successive discounts of a% and b% on the marked price of an article are equivalent to the single discount of

A) (a + b)%

B) (a + b – ab/100)%

C) (a + b)/100 %

D) (a + b)/2 %

8. A tradesman marks his goods 30% more than the cost price. If he allows a discount of 61/4% then his gain per cent is

A) 233/4%

B) 22%

C) 217/8%

D) 30%

9. A shopkeeper purchased a chair marked at ₹ 600 at two successive discounts of 15% and 20% respectively. He spent ₹ 28 on transportation and sold the chair for ₹ 545. His gain per cent was

A) 25%

B) 30%

C) 35%

D) 20%

10.The marked price of a piano was ₹ 15,000. At the time of sale, there were successive discounts of 20%, 10% and 10% respectively on it. The sale price was

A)  9,720

B) 9,750

C) 9,760

D) 9,780


  1. C
  2. C
  3. B
  4. C
  5. D
  6. B
  7. B
  8. C
  9. A
  10. A

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