Exams › SSC CGL (Prelims) › General

Given that x + y + z = 0 with x = 0.3, y = 0.5 and z = -0.8, evaluate (x^3 + y^3 + z^3) / (3xyz).

1. 0
2. 1
3. -1
4. 3

Correct answer: 1

Solution

When x + y + z = 0, the identity gives x^3 + y^3 + z^3 = 3xyz. Therefore the expression (x^3 + y^3 + z^3) / (3xyz) reduces to 3xyz / 3xyz = 1.

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