If x, y are points on the number line above, which of the following mu

Question

https://gmatclub.com/forum/download/file.php?id=36216 Note: not drawn to scale. If x, y are points on the number line above, which of the following must be true? I. xy < 0 II. x + y < 0 III. x – y < 0 (A) I only (B) III only (C) I and II only (D) I and III only (E) I, II and III 2017-07-12_1233.png

jedit · Answer

Assuming this is not drawn to scale, answer should be D.

Edit: To correct my mistake.

mcmoorthy · Answer

Hi jedit,

Given y is positive and x is negative x-y should be negative. So III must be true.

Ans D

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Shiv2016 · Answer

Though the figure is not drawn to scale but it looks like x is negative and y is positive. We don't know anything about the spacing of these points and their distance from zero.

So x*y<0 and x-y<0

shashankism · Answer

x is negative and y is positive . y has a more distance from 0 than x has from 0. So, |y| > |x| I. xy < 0 II. x + y >0 III. x - y < 0 Answer D

Mo2men · Answer

Let's plug in numbers
 x =-1 & y=1 (but we need to consider other numbers if needed)

I) xy = -1 * 1 = -1......( Any +ve number * Any -ve number = -ve number)

II) x + y = -1 + 1 = 0..Eliminate II

III) x – y = -1 -1 =-2 <0.......( Any -ve number - Any +ve number = -ve number)

Answer: D

FB2017 · Answer

I. xy < 0 
III. x – y < 0
satisfies the inequality for x<0 and y>0
So D

AqsaGhori · Answer

It should be D
Take numbers x=-1,y=2
Case:1
xy<0
-1*2=-2 satisfies
Case:2
x+y<0
-1+2=1 doesnot satisfies
Case:3
x-y<0
-1-2=-3 satisfies 
You can take anyother number as well

ScottTargetTestPrep · Answer

We see that x is negative and y is positive. Let’s analyze each Roman numeral.

I. xy < 0

Since x is negative and y is positive, xy < 0. Roman numeral I is true.

II. x + y < 0

Because the figure is not drawn to scale, we cannot tell if the sum x + y will be negative, positive, or zero. Roman numeral II is not necessarily true.

III. x – y < 0

Since x is negative and y is positive, x - y will always be less than zero. Roman numeral III is true.

Answer: D

If x, y are points on the number line above, which of the following mu

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GMAT Problem Solving (PS) Questions

If x, y are points on the number line above, which of the following mu

Prep Toolkit

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