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SSC GD 2023 PYQ — Question 46

SSC GD Constable (English) - 31 Jan 2023 - Shift 1 • Quantitative Aptitude • Q46

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If the sum of two numbers is 15 and their HCF and LCM are 3 and 18, respectively, then the sum of the reciprocals of the two numbers is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 518\frac{5}{18}.

Let two numbers be x and y

Their HCF and LCM are 3 and 18, respectively

According to the question

x + y = 15

if x = 6, y = 9, then it satisfies the equation

Hence, the sum of the reciprocals of x and y = (1/x) + (1/y)

= (1/6) + (1/9) = (3 + 2)/18 = 5/18