Question:About the number of pairs which have 16 as their H.C.F. and 139 as their L.C.M., we can definitely say that : 

A only one such pair exists 
B only two such pairs exist 
C many such pairs exist 
D no such pair exists 

+ Answer
D 

+ Explanation
solution:
H.C.M. of two numbers divides their L.C.M. exactly.
Since 16 is not a factor of 136, it follows that there does not exist any pair of numbers with H.C.F. 16 and L.C.M. 136.

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Md. Habib Ullah

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