SSC CGL 2016 PYQ — Question 68

SSC CGL Tier II Quant - 01/12/2016 • Quantitative Aptitude • Q68

If x2 + y2 + 2x + 1 = 0, then the value of x31 + y35 is

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Correct answer: A

Explanation

The correct option is 1.

x2 + y2 + 2x + 1 = 0

x2 + 2x + 1 + y2 = 0 {∵ (x + 1)2 = x2 + 2x + 1}

(x + 1)2 + y2 = 0

∴ (x + 1)2 = 0 , y2 = 0

x + 1 = 0  y = 0

x = -1 y = 0

x31 + y35 = −131 + 035 = -1