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The least number which must be added to 3931 to make it a perfect square, is

  • A.38
  • B.63
  • C.69
  • D.169

Answer: A

The least number to add is 38.

\(62^{2} = 3844\) and \(63^{2} = 3969\), so 3931 lies between them, and the next perfect square is 3969.

\[ 3969 - 3931 = 38 \]

Adding 63, 69 or 169 gives 3994, 4000 and 4100, none of which is a perfect square (\(64^{2} = 4096\)).

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