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Question

If AB is divisible by 5 but not divisible by 2 and BA is divisible 3. Then which of the following is possible value of A and B?


A

A=5,B=2

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B

A=4,B=5

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C

A=7,B=5

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D

A=4,B=0

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Solution

The correct option is B

A=4,B=5


AB is divisible by 5. Thus B should be either 0 or 5. But since AB is not divisible by 2, B is surely 5.
Since BA is divisible by 3, A+B should also be divisible by 3.
But B is 5. Thus A + 5 should also be divisible by 3.
Among the options, A+5 will be divisible by 3 only if A=4.


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