It is currently 12 Nov 2018, 18:25
My Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

If x, y, and z are positive numbers such that 3x < 2y < 4z,

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4864
Followers: 74

Kudos [?]: 965 [1] , given: 4466

CAT Tests
If x, y, and z are positive numbers such that 3x < 2y < 4z, [#permalink] New post 05 Mar 2017, 13:10
1
This post received
KUDOS
Expert's post
00:00

Question Stats:

32% (01:03) correct 67% (01:51) wrong based on 28 sessions


If x, y, and z are positive numbers such that 3x < 2y < 4z, which of the following statements could be true?

Indicate all such statements.

A) x = y

B) y = z

C) y > z

D) x > z

[Reveal] Spoiler: =A
B,C, and D
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

4 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4704
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1596 [4] , given: 373

CAT Tests
Re: If x, y, and z are positive numbers such that 3x < 2y < 4z, [#permalink] New post 12 Mar 2017, 06:32
4
This post received
KUDOS
Expert's post
Explanation

The best strategy is to inspect each option one by one and substitute values

x = y:

If \(x = 1\), \(y = 1\) \(3x < 2y\) or \((3)(1) < (2)(1)\) or \(3 < 2\) This is incorrect

Will it work with a larger number?

If \(x = 100\), \(y = 100\) \(3x < 2y\) or \((3)(100) < (2)(100)\) or \(300 < 200\) also incorrect.

This one cannot ever be true, no matter how large the number we supply for x an y.

y = z:

If \(y = 1\), \(z = 1\) \(2y < 4z\) or \((2)(1) < (4)(1)\) or \(2 < 4\)

This statement could be true.


y > z:

If y = 1.1, z = 1 2y < 4z or (2)(1.1) < (4)(1) or \(2.2 < 4\)

This statement could be true.

x > z:

If \(x = 1.1\), \(z = 1\) \(3x < 4z\) or \((3)(1.1) < (4)(1)\) or \(3.3 < 4\)

This statement could be true.

Hence option B, C and D are correct.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1169
Followers: 43

Kudos [?]: 1039 [1] , given: 6

CAT Tests
Re: If x, y, and z are positive numbers such that 3x < 2y < 4z, [#permalink] New post 15 Oct 2017, 16:10
1
This post received
KUDOS
Expert's post
Carcass wrote:


If x, y, and z are positive numbers such that 3x < 2y < 4z, which of the following statements could be true?

Indicate all such statements.

A) x = y

B) y = z

C) y > z

D) x > z

[Reveal] Spoiler: =A
B,C, and D


A) x = y
If this is true, we can take the given inequality (3x < 2y < 4z) and replace x with y to get: 3y < 2y < 4z
Now let's focus on 3y < 2y
Subtract 2y from both sides to get: y < 0
Hmmm, this says that y is less than 0, HOWEVER, the question tells us that y is POSITIVE
So, it cannot be the case that x = y
ELIMINATE A


B) y = z
If this is true, we can take the given inequality (3x < 2y < 4z) and replace y with z to get: 3x < 2z < 4z
Now let's focus on 2z < 4z
This seems to check out.
So, let's see if we can find some values that satisfy this answer choice.
How about x = 1, y = 3 and z = 3
When we plug those values into the inequality (3x < 2y < 4z) and evaluate, we get: 3 < 6 < 12 (perfect!)
So, it is POSSIBLE that y = z
KEEP B

C) y > z
This is a little trickier.
So, let's just see if we can find some values that satisfy this answer choice.
How about x = 1, y = 3 and z = 2
When we plug those values into the inequality (3x < 2y < 4z) and evaluate, we get: 3 < 6 < 8 (perfect!)
So, it is POSSIBLE that y > z
KEEP C

D) x > z
This is tricky too.
So, let's just see if we can find some values that satisfy this answer choice.
How about x = 10, y = 16 and z = 9
When we plug those values into the inequality (3x < 2y < 4z) and evaluate, we get: 30 < 32 < 36 (perfect!)
So, it is POSSIBLE that x > z
KEEP D

Answers:
[Reveal] Spoiler:
B, C, and D


RELATED VIDEO

_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

1 KUDOS received
Intern
Intern
Joined: 10 Jun 2018
Posts: 32
Followers: 0

Kudos [?]: 14 [1] , given: 4

Re: If x, y, and z are positive numbers such that 3x < 2y < 4z, [#permalink] New post 14 Aug 2018, 15:05
1
This post received
KUDOS
B, C and D are the answer.
The trick in this question is, the question has asked for Could be true option.
Which means in any range of numbers whether the condition satisfies.
Had it been a Must be true question, then it would be, in every condition whether any number in range satisfies.
Re: If x, y, and z are positive numbers such that 3x < 2y < 4z,   [#permalink] 14 Aug 2018, 15:05
Display posts from previous: Sort by

If x, y, and z are positive numbers such that 3x < 2y < 4z,

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.