Gate2017 ss Q7

0. X is a 30 digit number starting with the digit 4 followed by the digit 7, then the number X3 will have

  • Option : A
  • Explanation :
    X = 4777....(7 29times)
    It can be written as X = 4.7777... * 1029
    X3 = (4.777⋯∗1029)3
    = (4.777…)3 ∗ 1087
    Now, even if we round up 4.777... to 5, we could represent 53 = 125 in 3 digits. So, can say (4.77...)3also has 3 digits before decimal point.
    So, X3 requires 3 + 87 = 90 digits.
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