SSC CGL 2022 PYQ — Question 57

The correct answer is option 1 i.e. 776

Formula used:

x³ + y³ = (x + y)(x² - xy + y²)              ---- (1)

Calculations:

Let 428 be x and 348 be y

Using equation (1), we get

⇒ $\frac{{x \times x \times x + y \times y \times y}}{{x \times x - x \times y + y \times y}}$

⇒ $\frac{x^3 + y^3}{x^2 - xy + y^2}$

⇒ $\frac{(x + y)(x^2-xy+y^2)}{x^2 - xy + y^2}$

⇒ (x + y)

⇒ 428 + 348 = 776