Question

H.C.F and L.C.M of two numbers are 18 and 1782 respectively. If one of the number is 162, then find the other number.

• A. 168
• B. 198
• C. 178
• D. 218

Answer 1

The correct option is B 198

We know that,
$\text{Product of two numbers}=\text{HCF}\times \text{LCM}...\left(i\right)$.

According to the question we know that,
H.C.F = 18
L.C.M = 1782
and one of the number = 162.
Let the other number be $x$,
then, on substituting the given values in $\left(i\right)$,
we get
$162\times x=18\times 1782$

$\Rightarrow x=\frac{18\times 1782}{162}=198$

$\therefore$ The other number = 198