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GATE | GATE-CS-2017 (Set 2) | Question 8

X is 30 digit number starting with 4 followed 7. Then number X3 will have
(A) 90 digits
(B) 91 digits
(C) 92 digits
(D) 93 digits

Answer: (A)
Explanation: 

X = 4777....(till 30 digits)

or X = 4.7777⋯ ∗ 1029

X29 = (4.777⋯∗1029 )3 
  = (4.777…)3 ∗ 10 87

So, (X3 )3  requires 3 + 87 = 90 digits.

Therefore, option A
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GATE
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