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Question
The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs of these two numbers is
The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs of these two numbers is
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Solution
The correct option is C 2
Let the numbers be 12x and 12y, where x and y are co-prime.
LCM = 12xy
∴ 12xy = 924
⇒ xy = 77
∴ Possible pairs are (1, 77) and (7, 11).
Hence, the correct answer is option (c).
Let the numbers be 12x and 12y, where x and y are co-prime.
LCM = 12xy
∴ 12xy = 924
⇒ xy = 77
∴ Possible pairs are (1, 77) and (7, 11).
Hence, the correct answer is option (c).
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