If √(1+x/529)=24/23 , then the value of x is:

SSC CPO 2022 PYQ — Question 137

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q137

If $\sqrt{1+\frac{x}{529}}=\frac{24}{23}$ , then the value of x is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 47.

$\sqrt{1+\frac{x}{529}}=\frac{24}{23}$

1 + x/529 = 576/529

(529 + x)/529 = 576/529

x = 576 - 529 = 47