SSC CGL 2022 PYQ — Question 78

SSC CGL Tier II - Quant - 3 Feb 2022 • Quantitative Aptitude • Q78

If x = 32.5, y = 34.6 and z = 30.9, then the vlue of x3 + y3 + z3 - 3xyz is 0.98k, where K is equal to:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1033.

x3 + y3 + z3 - 3xyz = 0.98k

(32.5)3 + (34.6)3 + (30.9)3 - 3 × 32.5 × 34.6 × 30.9 = 0.98k.

34328.125 + 41421.736 + 29503.629 - 104241.15 = 0.98k

1012.34 = 0.98k

k = 1033.