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

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a
1250
b
2500
c
500
d
625

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detailed solution

Correct option is A

As the last digit of 6m,m∈N is 6,6m+9n will be divisible by 5 if the unit’s digit of 9n is 4 or 9. This is possible when n is odd.∴ required number of ordered pairs = 50 x 25 =1250.


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