SSC CGL 2023 PYQ — Question 57

SSC CGL - 21 July 2023 - Shift 4 • Quantitative Aptitude • Q57

What is the value of 64x3 + 36x2y+ 24xy2+2y3, when x = 3 and y = -4?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 1456.

Given that

64x3 + 36x2y + 24xy2 + 2y3 ; when x = 3 and y = -4 

Substituting the values we get

64(33) + 36(32)(-4) + 24(3)(-42) + 2(-43)

⇒ 64(27) + 36(9)(-4) + 24(3)(16) + 2(-64)

⇒ 1728 - 1296 + 1152 - 128

⇒ 1456