Let A= x x N, x 15 . If 3^m+3^n is divisible by 5 where (m,n) A A then the number of possible values of the ordered pair (m,n) is

JEE Advanced Mathematics question

Let . If is divisible by 5 where then the number of possible values of the ordered pair is

Answer: (B)

The unit digit of is according as . is divisible by 5 iff the unit digits add to 10 (they can never add to 5 or 15 here), i.e. or . In : : ;

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Question ID VK-110185