SSC CHSL 2023 PYQ — Question 64

SSC CHSL 2023 - 02 Aug 2023 - Shift 4 • Quantitative Aptitude • Q64

Simplify the given expression: 4[(17)3−(7)3](17)2+(7)2+119\frac {4[(17)^3-(7)^3]}{(17)^2+(7)^2+119}

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 40.

Given that

⇒  4[(17)3−(7)3](17)2+(7)2+119\frac {4[(17)^3-(7)^3]}{(17)^2+(7)^2+119}

As we know, 

a3 - b3 = (a - b) (a2 + ab + b2)

⇒ 4[(17−7)(17)2+(7)2+119)](17)2+(7)2+119\frac {4[(17-7)(17)^2+(7)^2+119)]}{(17)^2+(7)^2+119}

⇒ 4 (17 - 7)

⇒ 4 × 10

⇒ 40