SSC CGL 2023 PYQ — Question 51

SSC CGL - 17 July 2023 - Shift 4 • Quantitative Aptitude • Q51

What is the value of (27x3 - 58x2y + 31xy2 - 8y3), when x = -5 and y = -7?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1924.

Given that

The value of (27x3 - 58x2y + 31xy2 - 8y3)

when x = -5 and y = -7

⇒ 27x3 - 58x2y + 31xy2 - 8y3

⇒ 27(-5)3 - 58(-52 × -7) + 31 × -5 × -72 - 8 × -73

⇒ -3375 + 58 × 175 - 7595 + 2744

⇒ -3375 + 10150 - 7595 + 2744

⇒ 12894 - 10970

⇒ 1924