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SSC GD 2023 PYQ — Question 53

SSC GD Constable (English) - 2 Feb 2023 - Shift 3 • Quantitative Aptitude • Q53

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The sum of two numbers is 21, and their HCF and LCM are 7 and 14, respectively. The sum of the reciprocals of the two numbers is:

 

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 314\frac{3}{14}.

Given that

The sum of the two numbers is 21

Their HCF and LCM are 7 and 14, respectively.

Let the numbers be x and y

According to the question

x + y = 21

Put x = 7 and y = 14, which satisfy the equation 

Hence, The sum of the reciprocals of the two numbers = (1/7) + (1/14) = (2 + 1)/14 = 3/14