| | Question 34

If (x12 + 1 )/x6 = 6, then the value of (x36 + 1 )/x18 ?
(A) 188
(B) 192
(C) 196
(D) 198


Answer: (D)

Explanation: Given
(x12 + 1 )/x6 = 6
x6 + 1 /x6 = 6
Cubing both sides
(x6 + 1 /x6)3 = 63
x18 + 1/x18 + 3 (x6 + 1 /x6) = 216
x18 + 1/x18 + 3 * 6 = 216
x18 + 1/x18 = 198
(x36 + 1)/x18 = 198

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