DS Question - 8

If X and Y are nonzero integers, what is the remainder when X is divided by Y?

(1) When X is divided by 2y, the remainder is 4

(2) When X+Y is divided by y, the remainder is 4

Answer - B

Statement (1) ---- x = (2y)M +4

if y > 4 the remainder of x/y will be 4

if y= 1 or 2 or 4 there will be no remainder,

if y=3, remainder will be 1,

so it depends on value of y...

so insufficient

Statement (2) -----(x+y)/y=M+4

It is clear that y/y=1 therefore (x/y) has to be 4 - Thus

sufficient