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Let S = (m,n) : m,n \in 1,2,3,\ldots,50. If the number of elements (m,n) in S such that 6^m + 9^n is a multiple of 5 is p and the number of elements (m,n) in S such that m + n is a square of a prime number is q, then p + q is equal to ______ | Watch the step-by-step video solution for this NIMCET PYQ.