Discussion
If x is the smallest number which is to be subtracted from 2605 to make it a perfect square, then the value of (4x + 7) is :
Answer: C
The value of \((4x + 7)\) is 23.
The largest perfect square not exceeding 2605 is \(51^2 = 2601\), since \(52^2 = 2704\). So the smallest number to subtract is
\[ \begin{aligned} x &= 2605 - 2601 = 4 \\ 4x + 7 &= 16 + 7 = 23 \end{aligned} \]
31 would need x = 6, 27 would need x = 5, and 11 would need x = 1, none of which leaves a perfect square.
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