I dont usually post on Quant Forum, but I consider this an interesting one:When X is divided by A , the remainder is B
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
=> 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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