SSC CGL 2022 PYQ — Question 52

SSC CGL - 06 Dec 2022 - Shift 4 • Quantitative Aptitude • Q52

The sum of the two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 19{{1} \over 9}.

Let's assume the given number is a and b

We know that,

⇒ a × b = L.C.M × H.C.F

⇒ a × b = 3 × 54

⇒ ab = 162

And,

⇒ a + b = 18

According to the question,

The sum of the reciprocal = 1/a + 1/b

⇒ (a + b)/ab

⇒ 18/162 = 1/9