Question

The H.C.F. and L.C.M. of two numbers are 12 and 924 respectively. Then the number of such pairs is ____.

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is B 2

Let the numbers be 12x and 12y respectively, where x and y are prime to each other.
Therefore, $L.C.M.=12xy$
So, $12xy=924$
$\Rightarrow xy=\frac{927}{12}=77$
Hence, possible pairs are (1, 77) and (7, 11)