65th B.P.S.C. Re-Exam (Pre) 2020
If $x = \frac{5.32 \times 56 + 5.32 \times 44}{(7.66)^2 - (2.34)^2}$ then the value of x is ––
a7.66
b10✓ Correct
c5.32
d9.5
eNone of the above/More than one of the above
Explanation
$x = \frac{5.32 \times 56 + 5.32 \times 44}{(7.66)^2 - (2.34)^2}$ $\Rightarrow x = \frac{5.32(56 + 44)}{(7.66 + 2.34)(7.66 - 2.34)}$ $= \frac{5.32 \times 100}{10 \times 5.32} = 10$ $[a^2 - b^2 = (a+b)(a-b)]$
general-mental-ability
