Is y greater than x? (1) |y|

Question

Is y greater than x?

(1) |y|<1 and |x| <2

(2) y>0 and x is not 0

whiplash2411 · Answer

Statement 1: Insufficient |y|<1. This means that -10 x is not 0: Can be either positive or negative, greater than y or lesser than y. Statement 1 and 2 together y>0 and -1

rohitgoel15 · Answer

I would go with E as well
Beautifully explained by "whiplash2411"

sasyaharry · Answer

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: -10 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 CE Now your chance of getting this question right is 50%. Taking 1 and 2 together: We know Y > 0 and range of Y is -1

KanishkM · Answer

Statement 1, we cant do anything from this, as the modulus can be + or -, explained below |y|<1 when y < 0, y > - 1 when y > 0, y < 1 |x| <2 when x < 0, x > -2 when x > 0, x < 2 Statement 2, y>0 and x is not 0, here x can be +ive or -ive Combine both the statements, y < 1 and x will be still +ive or -ive Is y greater than x, it can be a Yes when y = 0 and x = -1 it can be a No when y = -1 and x = -1 Answer E.

ApurvM · Answer

One can visualize the range of x and y from statement 1 and 2 on the real number line. The reasoning will remain the same as that of whiplash's.

bumpbot · Answer

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Is y greater than x? (1) |y|<1 and |x| <2 (2) y>0

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