SSC CGL 2020 PYQ — Question 61

SSC CGL - 4th March 2020 Shift 1 • Quantitative Aptitude • Q61

If 5x + (1/3x) = 4, then what is the value of 9x2 + (1/25x2) ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 114/25.

Understanding/Application

5x + (1/3x) = 4

Multiplying both sides by 3/5

3x + (1/5x) = 12/5

Squaring both sides -

{3x + (1/5x)}2 = (12/5)2

9x2 + 1/25x2 + 6/5 = (144/25)

9x2 + 1/25x2 = (144/25) - (6/5)

9x2 + 1/25x2 = 114/25