SSC CGL 2022 PYQ — Question 75

SSC CGL - 05 Dec 2022 - Shift 3 • Quantitative Aptitude • Q75

Simplify the following 253 - 753 + 503

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. -281250

Formula used:

x3 + y3 + z3 = 3xyz              ---- (1)

when x + y + z = 0

Calculations:

Using equation (1), we get

⇒ 25 - 75 + 50 = 0

Hence, x = 25, y = -75 and z = 50

⇒ 253 - 753 + 503 = 3 × 25 × (-75) × 50

⇒ - 281250