Question : What smallest value must be added to 508, so that the resultant is a perfect square?
Option 1: 4
Option 2: 9
Option 3: 18
Option 4: 21
Correct Answer: 21
Solution : 508 + $x$ = perfect square The perfect square nearest to 508 is 529 = 23 2 $\therefore x$ = 529 – 508 = 21 Hence, the correct answer is 21.
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