SSC CGL 2022 PYQ — Question 58

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q58

If the sum of two positive numbers is 65 and the square root of their product is 26, then the sum of their reciprocals is:

Show answer & explanation

Correct answer: A

Explanation

 The correct answer is option 1 i.e. 552\frac{5}{52}FormatFormat

Let the two numbers be 'a' and 'b'

a + b = 65........(1)

ab=26\sqrt{ab} = 26

ab = 676..........(2)

on dividing the first equation by second equation we get,

1/a + 1/b = 65/676 = 5/52