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The product of two numbers is 2160 and their HCF is 12. Number of such possible pairs is
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Correct Option: B
Given that , HCF = 12
Let Numbers are 12p and 12q , where p and q are prime to each other.
∴ 12p × 12q = 2160
| ⇒ pq = | = 15 | 12 × 12 |
Possible Factors of 15 = 3 × 5, 1 × 15
So , Possible pairs = ( 36 , 60 ) and ( 12 , 180 ) .
Hence , Number of such possible pairs is 2.
