Answer: Option C
:
C
Option c
LCM & HCF of A & B are 72 & 12 respectively.
LCM $\times$ HCF = A $\times$ B(product of the two numbers) $\Rightarrow$ 72 $\times$ 12 = A $\times$ B
Values (A, B) can take so that HCF will be 12 & LCM 72 are (12, 72) and (24, 36)
I. A is not a factor of B, which means A and B can take24 and 36 as values but not necessarily in the same order i.e.,
A = 36 and B = 24 OR
A = 24 and B = 36
II. B is greater than A. This means B can be 36.
Hence II alone is not sufficient. Combining, I & II, we get A = 24 & B = 36. Hence, the answer is (c).