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

ABC26GN1367 · Square Roots and Cube Roots

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: 2002 · Marks: · Difficulty:

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.