SSC CGL 2020 PYQ — Question 65

SSC CGL - 4th March 2020 Shift 2 • Quantitative Aptitude • Q65

If 30x2 - 15x + 1 = 0, then what is the value of 25x2 + (36x2)-1?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 

Given,

30x2 - 15x + 1 = 0 ---------------------------- eqn 1

We need to find the value of (5x)2 + (1/6x)2. For this, 

Dividing equation 1 by 6x, we get;

5x + (1/6x) = 5/2

Now,

(5x)2 + (1/6x)2 = (5/2)2 - 2 × 5 × 1/6

 = (25/4) - (5/3)

 = 55/12