General Aptitude - 10.1 Problems on H.C.F and L.C.M - General Questions Free Online Tests | Mock Tests | Preparation | Practice Tests

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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

E. None of the above

View Answer

Correct choice: C

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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