Question

The LCM of two co-prime numbers is $216$. If the square root of one number is $6$, what is the cube of the other number?

• A. 36
• B. 216
• C. 6
• D. 343

Answer 1

The correct option is B

216

Let the two numbers be $a$ and $b$.

$HCF$ of $a$ and $b=1$

$LCM$ of $a$ and $b=216$

$\sqrt{b}=6$

Therefore, $b=36$

$a\times b=LCM\times HCF$

$a\times 36=216\times 1$

$a=\frac{216}{36}$

$a=6$

Therefore, $a^3=216$