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SSC Selection Post 2020 PYQ — Question 71

SSC Selection Post - Graduation Level 2020 - 9 Nov 2020 - Shift 2 • Quantitative Aptitude • Q71

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Two numbers are in the ratio 3: 5. If the sum of their squares is 2176, find the sum of the two numbers.

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 64.

Let the two numbers be 3x and 5x

(3x)2 + (5x)2 = 9x2 + 25x2 = 34x2 = 2176

⇒ x2 = 2176/34 = 64

⇒ x = √64 = 8

First number = 3 × 8 = 24

Second number = 5 × 8 = 40

Sum = 24 + 40 = 64