Algebra

Quantitative Aptitude (CCS)

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If x = 1/x = 0 than x¹² + x¹⁴ + x¹⁶ + x¹⁸ = ?

4

1

2

0

Explanation:

x + 1/x = 0
x² + 1 = 0
x² = – 1
x⁴ = 1
x¹² + x¹⁴ + x¹⁶ + x¹⁸
= (x⁴)³ + (x²)⁷ + (x⁴)⁴ + (x²)⁹
= 1 – 1 + 1 – 1
= 0

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