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Question: Answered & Verified by Expert
The number of ordered pairs $(\mathrm{m}, \mathrm{n})$, where $\mathrm{m}, \mathrm{n} \in\{1,2,3, \ldots \ldots, 50\}$, such that $6^{\mathrm{m}}+9^{\mathrm{n}}$ is a multiple of 5 is $-$
MathematicsSets and RelationsKVPYKVPY 2012 (SB/SX)
Options:
  • A 1250
  • B 2500
  • C 625
  • D 500
Solution:
1897 Upvotes Verified Answer
The correct answer is: 1250


$\mathrm{m}$ can be any value and $\mathrm{n}$ will be odd number then sum is multiple of 5 $50 \times 25=1250$

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