The HCF and LCM of two numbers are 12 and 924 respectively.

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The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

1. 0
2. 1
3. 2
4. 3

Correct Option: C

Here , HCF and LCM of two numbers are 12 and 924 .
Let the numbers be 12p and 12q where p and q are prime to each other.
∴ LCM = 12pq
∴ 12pq = 924
⇒ pq = 77
∴ Possible pairs = ( 1 , 77 ) and ( 7 ,11 )
Hence , required answer is 2.