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SSC GD 2019 PYQ — Question 61

SSC GD Constable (English) - 1 March 2019 Shift 1 • Quantitative Aptitude • Q61

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If (x + y) : (x - y) = 3 : 2, then (x2 + y2) : (x2 - y2) is in the ratio of :

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 13 : 12

Let ,

x + y = 3a

x - y = 2a

by adding both 2x = 5a , x = 2.5a hence y = 0.5a

x : y = 2.5a : 0.5a or 5 : 1

 (x2 + y2) : (x2 - y2) = 52 + 12 : 52 - 12 = 25 +1 :25 - 1 = 26 : 24 = 13 : 12