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ANIRBAN MUKHERJEE

· started a discussion

· 1 Months ago

doubt (Question: 200591.0 )

please explain a little bit how the formula is used

Question:
The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is —
Options:
A) 0
B) 1
C) 2
D) 3
Solution:

Let the numbers be 12a and 12b, where a and b are co-prime.

LCM = 12ab = 924

So, ab=77

Possible pairs = (1,77) and (7,11)

Hence, there two such pairs.Ans: (c)


Alt sol:


Let the numbers be 12a and 12b, where a and b are co-prime.

LCM = 12ab = 924

So, ab=77

Possible pairs = (1,77) and (7,11)

Hence, there two such pairs.

Knowledge Expert

· commented

· 1 Months ago

Let the numbers be 12a and 12b, where a and b are co-prime.
LCM = 12ab = 924
So, ab=77
Possible pairs = (1,77) and (7,11)
Hence, there two such pairs.
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