The remainder when m + n is divided by 12 is 8, and the remainder when m – n is divided by 12 is 6. If m > n, then what is the remainder when mn divided by 6 ?



The remainder when m + n is divided by 12 is 8, and the remainder when m - n is divided by 12 is 6. If m > n, then what is the remainder when mn divided by 6 ?

A. 3

B. 4

C. 2

D. 1

Answer : D. 1

Explanation:

    (m+n)/12 remainder is 8 so m + n = 8 + 12 = 20
    (m-n)/12 remainder is 6 so m - n = 6 + 12 = 18
    Solving this m = 19,n = 1
    ( m * n ) / 6 = ( 19 * 1 ) / 6 remainder is 1.


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