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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:

101
107
111
185

Correct Answer: 111

Explanation:

Let the numbers be 37 a and 37 b

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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