What smallest value must be added to 508 so that the resultant is a perfect square ........

Quantitative Aptitude (CPO) Number System

What smallest value must be added to 508, so that the resultant is a perfect square?

Let’s break it down:

- 508 isn’t a perfect square. The nearest perfect square below 508 is 484, which is 22².

- The next one up is 529, which is 23².

- The difference between 508 and 529 is 21.

- That means if you add 21 to 508, you get 529—a perfect square.

Now let’s look at the options:

- Option 1: 4 (508 + 4 = 512) ? Not a perfect square.

- Option 2: 9 (508 + 9 = 517) ? Still not a perfect square.

- Option 3: 18 (508 + 18 = 526) ? Nope, not a perfect square.

- Option 4: 21 (508 + 21 = 529) ? 529 is 23². Bingo.

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