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$The number of ordered pairs (m, n) where m, n \in {1, 2, 3, \dots \dots 50} such that 6^{m} + 9^{n} is a multiple of 5 is$

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Correct option is B

Unit digit of 6m is 6∴ Unit digit of 9n will be 9 or 1 For 6m+9n to divisible by 5 unit digit of 9n must be 9∴n must be odd. ∴ Total number of ordered pair =50×25=1250

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The number of ordered pairs (m,n) where m,n∈{1,2,3,……50} such that 6m+9n is a multiple of 5 is

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$The number of ordered pairs (m, n) where m, n \in {1, 2, 3, \dots \dots 50} such that 6^{m} + 9^{n} is a multiple of 5 is$