SSC CHSL 2022 PYQ — Question 52

The correct answer is option 1 i.e. 5

Formula used:

a³ - b³ = (a - b)(a² + ab + b²)         ---- (1)

Calculations:

Using equation (1), we get

⇒ $\frac{[(5.4)^3-0.064]}{[(5.4)^2+2.16+0.16]}$

⇒ $\frac{(5.4)^3 - (0.4)^3}{(5.4)^2 + 2.16+ (0.4)^2}$

⇒ $\frac{(5.4 - 0.4)((5.4)^2 + 2.16+ (0.4)^2)}{(5.4)^2 + 2.16+ (0.4)^2}$

⇒ 5.4 - 0.4 = 5