What will be the Sum of X Digit? If

The smallest whole number that is to be multiplied with 59535 to make a perfect square number is x. The sum of digits of x is:

  1. 9
  2. 6
  3. 5
  4. 7
Monis Rasool Professor Asked on 7th July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 6
    Explanation:- 
    Prime factorization of 59535 = 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7
    = 32 x 32 x 3  x 5  x 72
    Thus, we get the number is 3 x 5 = 15 which is not make a perfect square.
    If we multiply 59535 by 15 then, the number will make perfect square.
    The sum of digits of 15 = 1 + 5 = 6

    Hence, the answer is (2) 6.

    Anurag Mishra Professor Answered on 8th July 2015.
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