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C-9. Let kk be an integer such that p9+q10=kp9q10k. Since all three numbers pp, qq, and kk are integers, among the given options, the only case could be: integer (p9)p9 + integer (q10)q10 = integer (k)k The only value that fits the condition is (C). So, Ans - C.
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If p is not divisible by 9 and q is not divisible by 10, then p/9 results in a non-terminating decimal and q/10 results in a terminating decimal and the sum of the two would not result in an integer. [Because (a terminating decimal) + (a non-terminating decimal) is always a non-terminating decimal, and a nonterminating decimal is not an integer.] Since we are given that the expression is an integer, p must be divisible by 9.

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