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SSC CGL 2020 PYQ — Question 23

SSC CGL Tier II - Quant - 15 Nov 2020 • Quantitative Aptitude • Q23

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The numerator of a fraction is 3 more than the denominator. When 5 is added to the numerator and 2 is subtracted from the denominator, the fraction becomes 83\frac{8}{3}. When the original fraction is divided by 512\frac{1}{2}, the fraction so obtained is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e.  14\frac{1}{4}

Concept 

Basic Statement based question.

Application

Let the denominator of the fraction = x 

Therefore, the numerator of the fraction = x + 3

Therefore, fraction = ( x + 3) / x

According to the question -

(x + 3 + 5) / ( x - 2) = 8/3

Upon solving, x = 8 

Therefore, original denominator = 8

Original numerator = 11

Original fraction = 11 / 8

Now, when the original fraction is divided by  512\frac{1}{2} , we get

11 / 8 divided by 11 /2 , we will get 1 /4.

The new fraction is  1 / 4