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1. The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pair is = ?

Solution:
HCF = 12
Let numbers are 12x and 12y respectively
LCM ⇒ 12xy = 924(given)
⇒ xy = 77
⇒ Possible pairs are
= (1 × 77) (7 × 11)
∴ Only two pairs are possible

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