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About the number of pairs which have $16$ as their H.C.F. and $136$ as their L.C.M., we can definitely say that:

  1. Only one such pair exists
  2. Only two such pairs exist
  3. Many such pairs exist
  4. No such pair exists
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Option D ( Bcz HCF has to divide LCM )
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Answer is D, no such pair exists as HCF does not divide LCM completely.

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