A positive integer a is written as a a = 3q + r and a = 4k + r ,where q,k,r, are whole numbers. choose the possibilites of q and k ? (A) q =4 ; k = 6 (b) q =3; k = 4 (c) q = 6; k = 8 (d) q = 8; k = 6

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Solution

a = 3q + r - - - - > (1)
a = 4k + r -------->(2)

subtracting eqn 1 and 2 we get

3q=4k
i.e q/k = 4/3
The option (d) gives us the above result
Hence ootiin (d) is the answer.

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