A and B undertake a piece of work for ₹ 250/-. A alone can do

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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51.

A and B undertake a piece of work for ₹ 250/-. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If everyone gets paid in proportion to work done by them, the amount C will get is:

  • ₹ 50/-

  • ₹ 100/-

  • ₹ 150/-

  • ₹ 150/-


A.

₹ 50/-

A's 1 day's work = 1 fifth

B's 1 day's work = 1 over 15

(A + B + C)'s 1 days work = 1 third

C's 1 day's work:

              equals space open square brackets 1 third minus open parentheses 1 fifth plus 1 over 15 close parentheses close square brackets
equals space open parentheses 1 third minus 4 over 15 close parentheses
equals space 1 over 15

Ratio of workdone by A, B and C:

equals space 1 fifth space colon space 1 over 15 space colon space 1 over 15
equals space 3 space colon space 1 space colon space 1

therefore space space straight C apostrophe straight s space amount
space space space equals space fraction numerator 1 over denominator left parenthesis 3 plus 1 plus 1 right parenthesis end fraction cross times 250 space equals space 1 fifth space cross times space 250 equals space space ₹ space 50 divided by negative

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52.

Dealer purchased an article for ₹ 900/- and fixes the list price in such a way that he gains 20% after allowing 10% discount, then the list price is

  • ₹ 1,180/-

  • ₹ 1,080/-

  • ₹ 1,200/-

  • ₹ 1,200/-

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53.

Cost price of 28 articles is equal to Sale price of 21 articles, then percentage of profit is

  • 12%

  • 33 1 third percent sign

  • 20%

  • 20%

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54.

In the last financial year, a car company sold 41800 cars. In this year, the target is to sell 51300 cars. By what percent must the sale be increased?

  • 11 9 over 22 percent sign

  • 8 9 over 22 percent sign

  • 8 11 over 25 percent sign

  • 8 11 over 25 percent sign

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55.

If the speed of a boat in still water is 20 km/hr and the speed of the current is 5 km/hr, then the time taken by the boat to travel 100 km with the current is

  • 2 hours

  • 3 hours

  • 4 hours

  • 4 hours

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56.

If a sum of money double itself in 8 years, then the interest rate in percentage is

  • 8 1 half percent sign

  • 10%

  • 10 1 half percent sign

  • 10 1 half percent sign

65 Views

57.

If (x - 5)2 + (y - 2)2 + (z - 9)2  = 0, then value of (x + y - z) is

  • 16

  • -1

  • -2

  • -2

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58.

If straight x plus space 1 over straight x space equals space 3 comma then  straight x to the power of 8 space plus space 1 over straight x to the power of 8 is equal to

  • 2201

  • 2203

  • 2207

  • 2207

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59.

Points P, Q and R are on a circle such that ∠PQR = 40° and ∠QRP = 60°. Then the subtended angle by arc QR at the centre is:

  • 80°

  • 120°

  • 140°

  • 160°

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60.

The ratio of the angles of a triangle is 1 space colon space 2 over 3 space colon space 3. Then the smallest angle is:

  • 21 fraction numerator 4 degree over denominator 7 end fraction

  • 25 degree

  • 25 fraction numerator 5 degree over denominator 7 end fraction

  • 25 fraction numerator 5 degree over denominator 7 end fraction

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