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SSC CGL 2023 PYQ — Question 66

SSC CGL - 21 July 2023 - Shift 3 • Quantitative Aptitude • Q66

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If x and y are positive numbers such that x - y = 5 and xy = 150, then the value of (x + y) is:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 25.

Given:

x − y = 5

xy = 150

According to the rule:

(x + y)2^2 = (x − y)2^2 + 4xy

(x + y)2^2 = 52^2 + 4 × 150

(x + y)2^2 =25 + 600

 (x + y)2^2 = 625

x + y = 625\sqrt625

x + y = 25