This is a problem from TOMATO Objective 21 based on positive integers. This problem is helpful for ISI Entrance Exam. Try out the problem.
Problem: TOMATO Objective 21
Suppose x & y are positive integers, x>y, and 3x+4y & 2x+3y when divided by 5, leave remainders 2&3 respectively. It follows that when (x-y) is divided by 5, the remainder necessarily equals
(a) 2 (b)1 (c) 4 (d) none of these
According to the problem,
subtracting the above 2 relations we get,
Hence the remainder is 4