noboru wrote:

I dont usually post on Quant Forum, but I consider this an interesting one:

X, A, and B are positive integers. When X is divided by A , the remainder is B . If when X is divided by B , the remainder is A-2 , which of the following must be true?

a)A is even

b)X+B is divisible by A

c)X-1 is divisible by A

d)B=A+1

e)A+2=B+1

When X is divided by A , the remainder is B=> A>B as the remainder is always left when it is less than the divisor else it is divided again.

when X is divided by B , the remainder is A-2=> B > A-2 , same explanation.

combine both..... A>B>A-2 => A+2 > B+2 > A

This is only possible when B+1 = A as they are integers.

Take eg of A = 5, B= 4 and A-2 = 3

But this option is not listed , I guess there is a typo error in d or e as they both are equal.

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