For what value of * the statement (()/15) (()/135)=1 is true? · ABC26GN1367

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: S.S.C. 2002

For what value of * the statement $\left(\frac{*}{15}\right)\left(\frac{*}{135}\right)=1$ is true?

(a)15

(b)25

(c)35

(d)45

Answer

Answer (as printed): D

Explanation

Let the missing number be $x$. Then, $x^{2}=15 \times 135 \Leftrightarrow x=\sqrt{15 \times 135}$ $$=\sqrt{15^{2} \times 3^{2}}=15 \times 3=45 .$$

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

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For what value of * the statement ((*)/15) ((*)/135)=1 is true? · ABC26GN1367