The product of two numbers is If the H.C.F. of these numbers is 37, then the greater number is:

A 101

B 107

C 111

D 185

Correct Answer: Option C

Let the numbers be 37a and 37b.

Then, 37a x 37b = 4107

=> ab = 3.

Now, co-primes with product 3 are (1, 3).

So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).

So, Greater number = 111.