Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

11.

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

  • xy days

  • straight y squared over straight x space days
  • straight x squared over straight y space days
  • straight x squared over straight y space days
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12.

Three persons undertake to complete a piece of work for ₹ 1,200. The first person can complete the work in 8 days, the 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?

  • ₹ 180

  • ₹ 200

  • ₹ 225

  • ₹ 225


C.

₹ 225

Shortcut Method:
open parentheses fraction numerator No space of space days space straight a space person space worked over denominator No space of space days space straight a space person space can space space complete space straight a space work end fraction space plus space fraction numerator No space of space days space straight a space person space worked over denominator No space of space days space straight a space person space can space complete space straight a space work end fraction plus... equals space 1 close parentheses 
Now,
rightwards double arrow space space 3 over 8 plus 3 over 12 plus 3 over 16 plus 3 over straight x space equals space 1
rightwards double arrow space space 1 over straight x space equals space 1 third minus 1 over 8 minus 1 over 12 minus 1 over 16
equals space fraction numerator 16 minus 6 minus 4 minus 3 over denominator 48 end fraction space equals space 1 over 16
therefore space space space straight x space equals space 16

Ratio of wages = 1 over 8 space colon thin space 1 over 12 space colon space 1 over 16 space colon space 1 over 16 space equals space 6 space colon space 4 colon space 3 space colon space 3
Sum of ratios = 6 + 4 + 3 + 3 = 16
∴ Fourth person's share = 3 over 16 cross times 1200 space equals space ₹ space 225




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13.

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 third as efficiently as he actually did, the work would have been completed in 3 days. To complete the job alone, A would require

  • 5 1 fifth space days
  • 6 1 fourth space days
  • 7 1 half space days
  • 7 1 half space days
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14.

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 C alone finishes the remaining work in 10 days. In how many days will C finish the full work?

  • 25 days

  • 30 days

  • 24 days

  • 24 days

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15.

Sunil completes a work in 4 days whereas Dinesh completes the work in 6 days. Ramesh works 1 1 half space times as fast as Sunil. The three together can complete the work in

  • 1 5 over 12 space days
  • 1 5 over 7 space days
  • 1 3 over 8 space days
  • 1 3 over 8 space days
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16.

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?

  • 7

  • 9

  • 11

  • 11

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17.

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

  • (a + b)%

  • open parentheses straight a plus straight b minus ab over 100 close parentheses percent sign
  • fraction numerator straight a plus straight b over denominator 100 end fraction percent sign
  • fraction numerator straight a plus straight b over denominator 100 end fraction percent sign
150 Views

18.

A tradesman marks his goods 30% more than the cost price. If he allows a discount of 6 1 fourth percent sign, then his gain percent is

  • 23 3 over 4 percent sign
  • 22%

  • 21 7 over 8 percent sign
  • 21 7 over 8 percent sign
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19.

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 percent was

  • 25%

  • 30%

  • 35%

  • 35%

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20.

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

  • ₹ 9,720

  • ₹ 9,750

  • ₹ 9,760

  • ₹ 9,760

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