From statement 1)

|y|<1 & |x|<2|y|<1: This means two things: y<1 or -y<1.

-y<1 can be rewritten as y>-1 (when multiplied by -ve, the sign changes. In this case lesser than becomes greater than)

We can summarize as: -1<y<1

Similarly, we can summarize -2<x<2

This is all we know from statement 1. If you draw a number line, x and y could lie anywhere as long as they satisfy respective conditions.

For ex: Y=0 and X=1; In this case Y is less than X.

or Y=1 and X = -1; In this case Y is greater than X.

Hence statement 1 is insufficient.

~~AD~~ BCEFrom statement 2)

y>0 and x is not 0

Again, we know nothing about the number except that y is positive and x can be positive or negative. Using simple numbers for X= -1 and Y =1, we can see that Y is indeed greater than X.

But if X= 100 and Y = 1, Y is less than X.

Hence statement 1 is insufficient.

~~B~~CENow your chance of getting this question right is 50%. Taking 1 and 2 together:

We know Y > 0 and range of Y is -1<Y<1, combining these two we can write 0<Y<1; i.e Y is a positive fraction.

Similarly -2<x<2 but x cannot be 0.

Again, take X=-1/2 and Y=1/2; Y is greater than X.

X=1/2 and Y=1/4; Y is less than X.

Hence answer is E.

_________________

Kudosity killed the cat but your kudos can save it.