SSC CPO 2024 PYQ — Question 117

The correct answer is option 1 i.e. 999.

Given that

x = 110, y = 111, z = 112

x³ + Y³ + Z³ - 3xyz = $\frac{x + y + z}{2}$[(x - y)² + (y - z)² + (z - x)²]

Substituting the values of x, y, and z we get

⇒ $\frac{110 + 111 + 112}{2}$(1 + 1 + 4)

⇒ $\frac{333}{2}$(6) = 999

Hence, the value of the given expression is 999.