What is the smallest natural number which when added to the difference of squares of 17 and 13 gives a perfect square?

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Solution

The correct option is A 1
$17^{2} - 13^{2} = 289 - 169 = 120$
$120 + 1 = 121 = 11^{2}$
Hence 1 is the added to make it a perfect square.

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