ISRO | ISRO CS 2008 | Question 13

If N² = (7601)₈ where N is a positive integer, then the value of N is
(A) (241)₅
(B) (143)₆
(C) (165)₇
(D) (39)₁₆

Answer: (B)
Explanation: N² = (7601)₈
N² = 7*8*8*8 + 6*8*8 + 0 + 1*8
N² = 3969
N = (63)¹⁰

Now, (241)₅ = 2*5*5 + 4*5 + 1 = 71
Option (A) is incorrect.

(143)₆ = 1*6*6 + 4*6 + 3 = 63
Option (B) is correct.
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