Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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41.

A man can row against the current three-fourth of a kilometre in 15 minutes and returns the same distance in 10 minutes. The ratio of his speed to that of the current is

  • 3 : 5

  • 5 : 3

  • 1 : 5

  • 1 : 5


D.

1 : 5

Speed of boat in still water = x kmph
Speed of current  = y kmph
therefore space space space space straight x space minus space straight y space equals space fraction numerator begin display style 3 over 4 end style over denominator begin display style 15 over 60 end style end fraction space equals space 3 space space space space space... left parenthesis straight i right parenthesis
straight x space plus space straight y space equals space fraction numerator begin display style 3 over 4 end style over denominator begin display style 10 over 60 end style end fraction space space equals space 3 over 4 space cross times space 6 space equals space 9 over 2 space space space... left parenthesis ii right parenthesis
From equations (i) and (ii),
  2 straight x space equals space 3 plus space 9 over 2 space equals space 15 over 2
therefore space space space straight x space equals space 15 over 4 kmph
From equation (ii)

straight y space equals space 9 over 2 minus 15 over 4 space equals space fraction numerator 18 minus 15 over denominator 4 end fraction space equals 3 over 4 space kmph

therefore space space space straight x space colon space straight y space equals space 15 over 4 space colon space 3 over 4 space equals space 5 space colon space 1

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42.

Two places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at a constant speed, they meet in 5 hours. If the cars travel towards each other, they meet in 1 hour. What is the speed of the car running faster?

  • 60 km/hr

  • 50 km/hr

  • 40 km/hr

  • 40 km/hr

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43.

A can complete a piece of work in 12 days. B is 60% more efficient than A. The number of days, that B will take to complete the same work is

  • 6

  • 7 1 half
  • 8

  • 8

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44.

Two pipes can fill an empty tank separately in 24 minutes and 40 minutes respectively and a third pipe can empty 30 gallons of water per minute. If all the three pipes are open, empty bank becomes full in one hour. The capacity of the tank (in gallons) is

  • 800

  • 600

  • 500

  • 500

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45.

A batsman in his 12th innings makes a score of 63 runs and thereby increases his average score by 2. The average of his score after 12th innings is

  • 41

  • 42

  • 34

  • 34

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46.

The greatest number, that divides 43, 91 and 183 so as to leave the same remainder in each case is

  • 9

  • 8

  • 4

  • 4

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47. fraction numerator square root of 7 over denominator square root of 16 plus 6 square root of 7 end root minus square root of 16 minus 6 square root of 7 end root end fraction is equal
  • 1 half
  • 1 third
  • 1 fourth
  • 1 fourth
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48.

The sum of the areas of the 10 squares, the lengths of whose sides are 20 cm, 21 cm,....29 cm respectively is

  • 6085 cm2

  • 8555 cm2

  • 2470 cm2

  • 2470 cm2

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49.

The square root of
fraction numerator 9.5 space cross times space 0.0085 space cross times space 18.9 over denominator 0.0017 space cross times space 1.9 space cross times 2.1 end fraction is

  • 15

  • 45

  • 75

  • 75

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50.

If 2 straight x plus space fraction numerator 1 over denominator 3 straight x end fraction space equals space 6 comma then 3 straight x plus fraction numerator 1 over denominator 2 straight x end fraction is equal to

  • 4

  • 8

  • 9

  • 9

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