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M31-38

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M31-38 [#permalink]

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New post 20 Jun 2015, 10:17
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On the number line shown above, the tick marks are equally spaced. Which of the following statements about the numbers \(x\), \(y\), and \(z\) must be true?

I. \(xyz < 0\)

II. \(x + z = y\)

III. \(z(y - x) > 0\)


A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
[Reveal] Spoiler: OA

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Re M31-38 [#permalink]

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New post 20 Jun 2015, 10:17
Official Solution:


Image

On the number line shown above, the tick marks are equally spaced. Which of the following statements about the numbers \(x\), \(y\), and \(z\) must be true?

I. \(xyz < 0\)

II. \(x + z = y\)

III. \(z(y - x) > 0\)


A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

The tick marks are equally spaced, so let's assign such values to the variables that satisfy this requirement. Say \(x = -1\), \(y = 1\) and \(z = 2\). We can see that all three options are true.

Answer: E
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Collection of Questions:
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Re: M31-38 [#permalink]

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New post 27 Oct 2015, 12:12
I think this is a high-quality question and I don't agree with the explanation. -1, 1 and 2 are not equally spaced. -1, 1 and 3 would be equally spaced. So the answer should be I and III only.
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Re: M31-38 [#permalink]

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The question clearly says the tick mark are equaly spaced. "0" is one of the tick mark. Hence the origiona explanation is correct. al three options are feasibe and correct.
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Re: M31-38 [#permalink]

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New post 15 Jan 2017, 05:59
Hi,

Should we assume that the positive numbers go from zero to right and the negatives from zero to left?

In my opinion it is not clear the direction in which numbers increase. For example, 1, 0, -1, -2 could be possible and then statement 1 wouldn't be true.

Thank you!
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Re: M31-38 [#permalink]

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New post 15 Jan 2017, 09:08
nachobs wrote:
Hi,

Should we assume that the positive numbers go from zero to right and the negatives from zero to left?

In my opinion it is not clear the direction in which numbers increase. For example, 1, 0, -1, -2 could be possible and then statement 1 wouldn't be true.

Thank you!


Positive numbers are numbers that are greater than 0 and are to the right of 0 on the number line.
Negative numbers are numbers that are less than 0 and are to the left of 0 on the number line.

0 is neither positive nor negative.
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Re: M31-38 [#permalink]

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New post 16 Jan 2017, 03:01
Image

On the number line shown above, the tick marks are equally spaced. Which of the following statements about the numbers \(x\), \(y\), and \(z\) must be true?

I. \(xyz < 0\)

II. \(x + z = y\)

III. \(z(y - x) > 0\)

Let x= -2 , y=2 and z=4

I. \(xyz < 0\)

-2 *2 *4 = -16 <0 .........True

II. \(x + z = y\)

-2+ 4=2 =y..........True

III. \(z(y - x) > 0\)

4 [2 - (-2)]= 4 *4 =16>0.............True

Answer: E
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Re: M31-38 [#permalink]

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New post 22 Mar 2018, 00:24
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Bunuel wrote:
Image

On the number line shown above, the tick marks are equally spaced. Which of the following statements about the numbers \(x\), \(y\), and \(z\) must be true?

I. \(xyz < 0\)

II. \(x + z = y\)

III. \(z(y - x) > 0\)


A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

sorry, but i think this one also have same problem please edit this one also.
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Re: M31-38 [#permalink]

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New post 22 Mar 2018, 01:38
rishabhmishra wrote:
Bunuel wrote:
Image

On the number line shown above, the tick marks are equally spaced. Which of the following statements about the numbers \(x\), \(y\), and \(z\) must be true?

I. \(xyz < 0\)

II. \(x + z = y\)

III. \(z(y - x) > 0\)


A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

sorry, but i think this one also have same problem please edit this one also.

_______________
Edited. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: M31-38   [#permalink] 22 Mar 2018, 01:38
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