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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:

Options:
A .  101
B .  107
C .  111
D .  185
E .  None of these
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).
  Greater number = 111.

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