Question : The smallest whole number that is to be multiplied by 59535 to make a perfect square is $x$. The sum of digits of $x$ is:
Option 1: 9
Option 2: 5
Option 3: 7
Option 4: 6
Correct Answer: 6
Solution :
Factorization of the 59535 = 5 × 3
5
× 7
2
It needs to be multiplied by 5 × 3 = 15 to get a perfect square.
$\therefore$ Sum of digits = 1 + 5 = 6
Hence, the correct answer is 6.
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