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Question


If 14 is the HCF of 4p and 21q, then minimum value of p and q are:


Options:
A .   p = 7, q = 2
B .   p = 2, q = 7
C .   p = 14, q = 3
D .   None of the above
Answer: Option A
:
A

Since 14 is HCF of 4p and 21q, then both of them should have 7 and 2 as prime factors.
4p = 2 x 2 x p 
21q = 3 x 7 x q
Since 14 is the HCF, p should be 7 and q should be 2.



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