A boat goes 15 upstream and  downstream in 3 hours 15 m

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

51.

If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y?

  • 2

  • 4

  • 6

  • 8


52.

A, B and C can complete a work in 20, 24 and 30 days respectively. All three of them starts together but after 4 days A leaves the job and B left the job 6 days before the work was completed. C completed the remaining work alone. In how many days was the total work completed?

  • 10 days

  • 12 days

  • 14 days

  • 16 days


53.

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?

  • 289 cm2

  • 361.5 cm2

  • 481.25 cm2

  • 962.5 cm2


54.

After a discount of 34% an article is sold for ₹ 3,168/-. What is the marked price (in ₹) of the article?

  • ₹ 4,750/-

  • ₹ 4,800/-

  • ₹ 4,850/-

  • ₹ 5,000/-


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55.

If 3 over 7 straight P space equals space 4 over 11 straight Q comma  then what is the ratio of P and Q respectively?

  • 12 : 77

  • 12 : 33

  • 28 : 33

  • 3 : 28


56.

The average of 17 results is 60. If the average of first 9 results is 57 and that of the last 9 results is 65, then what will be the value of 9th result?

  • 39

  • 78

  • 117

  • 156


57.

For an article the profit is 170% of the cost price. If the cost price increases by 20% but the selling price remains same, then what is the new profit percentage?

  • 41%

  • 50%

  • 75%

  • 125%


58.

32% of a number exceeds 17% of the same number by 120. What is the value of the number?

  • 900

  • 860

  • 940

  • 800


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59.

A boat goes 15 upstream and 10 1 half km downstream in 3 hours 15 minutes. It goes 12 km upstream and 14  km downstream in 3 hours. What is the speed of boat in still water.

  • 4 km/hr

  • 6 km/hr

  • 10 km/h

  • 14 km/hr


C.

10 km/h

Let speed of boat with downstream = x km/hr.
      speed of boat with upstream = y km/hr.
According to the question,
  fraction numerator 21 over denominator 2 straight x end fraction space plus space 15 over straight y space equals space 3 1 fourth space equals space 13 over 4 space space space space space space space space space space space space space... left parenthesis straight i right parenthesis
14 over straight x space plus space 12 over straight y space equals space 3 space space space space space space space space space space space space space space space space space space space space space space space space space... left parenthesis ii right parenthesis
Solving (i) and (ii), we get
  x = 14,  y = 6
∴  Speed of boat in still water

equals space 1 half left parenthesis straight x space plus space straight y right parenthesis space equals space 1 half left parenthesis 14 space plus space 6 right parenthesis space equals space 20 over 2 space equals space 10 space km divided by hr.
                 




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60.

A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to ₹ 250/- less than the sum lent. What was the sum lent (in ₹)?

  • ₹ 1,000/-

  • ₹ 1,500/-

  • ₹ 2,400/-

  • ₹ 3,000/-


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