If 1537* is a perfect square, then the digit which replaces * is · ABC26GN1418

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: Hotel Management 2007

If 1537* is a perfect square, then the digit which replaces * is

(a)2

(b)4

(c)5

(d)6

Answer

Answer (as printed): D

Explanation

Let the missing digit be $x$. $$\begin{array}{r|c} 1 & \overline{1} \overline{53} \overline{7 x}(124 \\ & 1 \\ \hline 22 & 53 \\ & 44 \\ \hline & \begin{array}{c} 97 x \\ 976 \end{array} \\ & 9 \\ & x \\ \hline \end{array}$$ Then, $x=6$.

Explanation as extracted from the printed page; notation may be imperfect.

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