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The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

A.	101	B.	107
C.	111	D.	185

Answer and Explanation

Answer:111

Explanation:
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).
Greater number = 111.

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