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Question

HCF of two numbers is 6 and their product is 432. How many pairs of such numbers exist?
 
  1. 2
  2. 3
  3. 4
  4. 1


Solution

The correct option is A 2
Let the numbers be 6x & 6y such that x & y are coprime to each other
6x×6y=432
xy =12
Possible pairs are (1×12) & (3×4)
So, two pairs of numbers exist.
 

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