SSC CHSL 2023 PYQ — Question 64

SSC CHSL - 14 Aug 2023 - Shift 1 • Quantitative Aptitude • Q64

Simplify the given expression. (381+119)2+(381−119)2(381)2+(119)2\frac{(381 + 119)^2 + (381 - 119)^2}{(381)^2 + (119)^2}.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 2.

(381+119)2+(381−119)2(381)2+(119)2\frac{(381 + 119)^2 + (381 - 119)^2}{(381)^2 + (119)^2}

=2[(381)2+(119)2][(381)2+(119)2]=\frac{2[(381)^2 + (119)^2]}{[(381)^2 + (119)^2]}

= 2