It is currently 24 Nov 2017, 00:50

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
User avatar
Joined: 14 Jun 2012
Posts: 119

Kudos [?]: 29 [0], given: 28

Concentration: International Business
GMAT 1: 560 Q36 V31
GMAT 2: 580 Q39 V31
GMAT 3: 630 Q41 V35
GPA: 4
Reviews Badge
If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 13 May 2016, 06:44
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (00:57) correct 40% (01:21) wrong based on 90 sessions

HideShow timer Statistics

If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y?

(1) y = 3 and x = 2
(2) z = -x


[Reveal] Spoiler:
Source: Manhattan Prep "Fractions, Decimals, Percents"

First they grouped all the "like" terns together and ended up with the equation z = x?
Answer: Only statement 2 is sufficient by itself. B

Why? I would have answered A because I plugged in the numbers given in statement 1 and solved for z. Then I came up with z = 2.
Then I plugged in the numbers for all 3 variables in the original equation (including z = 2) with the result of left side of equation = right side of equation so I can clearly answer the question with statement 1?
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 May 2016, 07:12, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 29 [0], given: 28

Expert Post
Math Expert
User avatar
P
Joined: 02 Aug 2009
Posts: 5234

Kudos [?]: 5892 [0], given: 118

Re: If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 13 May 2016, 07:09
Silviax wrote:
Source: Manhattan Prep "Fractions, Decimals, Percents"

If xyz not equal 0, is 3x/2 + y + 2z = 7x/2 + y?

(1) y=3 and x = 2
(2) z = -x

First they grouped all the "like" terns together and ended up with the equation z = x?
Answer: Only statement 2 is sufficient by itself. B

Why? I would have answered A because I plugged in the numbers given in statement 1 and solved for z. Then I came up with z = 2.
Then I plugged in the numbers for all 3 variables in the original equation (including z = 2) with the result of left side of equation = right side of equation so I can clearly answer the question with statement 1?


Hi,

you have to find if \(\frac{3x}{2}+ y + 2z = \frac{7x}{2}+ y?\)...
But there are three variables and 'z' does not cancel out but remains till end..
so we cannot sove the equation.
we donot have to find z=2, we should be given z=2 for equation to be correct..
remember it is asking you IS A=B.. so you require both A and B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5892 [0], given: 118

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42355

Kudos [?]: 133182 [0], given: 12439

If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 13 May 2016, 07:18
Silviax wrote:
If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y?

(1) y = 3 and x = 2
(2) z = -x


Source: Manhattan Prep "Fractions, Decimals, Percents"

First they grouped all the "like" terns together and ended up with the equation z = x?
Answer: Only statement 2 is sufficient by itself. B

Why? I would have answered A because I plugged in the numbers given in statement 1 and solved for z. Then I came up with z = 2.
Then I plugged in the numbers for all 3 variables in the original equation (including z = 2) with the result of left side of equation = right side of equation so I can clearly answer the question with statement 1?


Notice that the question asks is 3x/2 + y + 2z = 7x/2 + y? Which can be simplified to is z = x? We are NOT given that z = x, we are asked to find whether it's true.

(1) says that x = 2. So the question becomes is x = 2. We don't know that, thus the statement is not sufficient.

(2) says that z = -x. Now, if z = -x, then z = x can only be true when z = x = 0. Since we are told that xyz ≠ 0, then none of the variables is 0, therefore we can say that z ≠ x. Sufficient.

Answer: B.

Hope it's clear.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133182 [0], given: 12439

1 KUDOS received
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 903

Kudos [?]: 436 [1], given: 69

Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 13 May 2016, 09:15
1
This post received
KUDOS
Information from the question:- xyz is not equal to 0

Question asked:-
3x/2+y+2z= 7x/2+y?
3x/2+2z= 7x/2?
2z=4x/2?
2z=2x?
z=x?

So basically, the question is weather z=x?
Only statement 2 talks about both z and x. B is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Kudos [?]: 436 [1], given: 69

Manager
Manager
User avatar
Joined: 14 Jun 2012
Posts: 119

Kudos [?]: 29 [0], given: 28

Concentration: International Business
GMAT 1: 560 Q36 V31
GMAT 2: 580 Q39 V31
GMAT 3: 630 Q41 V35
GPA: 4
Reviews Badge
If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 13 May 2016, 09:24
No I still don't get it because statement 1 gives us two values for two variables. So if plug in these values in my equation I get:

3(2)/2 + 3 + 2z = 7(2)/2 + 3
6/2 + 3 + 2z = 14/2 + 3
3 + 3 + 2z = 7 + 3
6 + 2z = 10
2z = 4
z = 2

So z = 2 results from the equation with the provided values for x and y and if I plug in all 3 values now I can see that both equation are the same so z = 2 and x = 2 thus z = x

Where is my thinking error here?

chetan2u wrote:
Silviax wrote:
Source: Manhattan Prep "Fractions, Decimals, Percents"

If xyz not equal 0, is 3x/2 + y + 2z = 7x/2 + y?

(1) y=3 and x = 2
(2) z = -x

First they grouped all the "like" terns together and ended up with the equation z = x?
Answer: Only statement 2 is sufficient by itself. B

Why? I would have answered A because I plugged in the numbers given in statement 1 and solved for z. Then I came up with z = 2.
Then I plugged in the numbers for all 3 variables in the original equation (including z = 2) with the result of left side of equation = right side of equation so I can clearly answer the question with statement 1?


Hi,

you have to find if \(\frac{3x}{2}+ y + 2z = \frac{7x}{2}+ y?\)...
But there are three variables and 'z' does not cancel out but remains till end..
so we cannot sove the equation.
we donot have to find z=2, we should be given z=2 for equation to be correct..
remember it is asking you IS A=B.. so you require both A and B

Kudos [?]: 29 [0], given: 28

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42355

Kudos [?]: 133182 [0], given: 12439

Re: If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 13 May 2016, 09:29
Silviax wrote:
No I still don't get it because statement 1 gives us two values for two variables. So if plug in these values in my equation I get:

3(2)/2 + 3 + 2z = 7(2)/2 + 3
6/2 + 3 + 2z = 14/2 + 3
3 + 3 + 2z = 7 + 3
6 + 2z = 10
2z = 4
z = 2

So z = 2 results from the equation with the provided values for x and y and if I plug in all 3 values now I can see that both equation are the same so z = 2 and x = 2 thus z = x

Where is my thinking error here?

chetan2u wrote:
Silviax wrote:
Source: Manhattan Prep "Fractions, Decimals, Percents"

If xyz not equal 0, is 3x/2 + y + 2z = 7x/2 + y?

(1) y=3 and x = 2
(2) z = -x

First they grouped all the "like" terns together and ended up with the equation z = x?
Answer: Only statement 2 is sufficient by itself. B

Why? I would have answered A because I plugged in the numbers given in statement 1 and solved for z. Then I came up with z = 2.
Then I plugged in the numbers for all 3 variables in the original equation (including z = 2) with the result of left side of equation = right side of equation so I can clearly answer the question with statement 1?


Hi,

you have to find if \(\frac{3x}{2}+ y + 2z = \frac{7x}{2}+ y?\)...
But there are three variables and 'z' does not cancel out but remains till end..
so we cannot sove the equation.
we donot have to find z=2, we should be given z=2 for equation to be correct..
remember it is asking you IS A=B.. so you require both A and B


We don't know whether 3x/2 + y + 2z = 7x/2 + y. We are asked to find out whether 3x/2 + y + 2z = 7x/2 + y. Please read my reply above.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 133182 [0], given: 12439

Senior Manager
Senior Manager
User avatar
Joined: 31 Mar 2016
Posts: 406

Kudos [?]: 83 [0], given: 197

Location: India
Concentration: Operations, Finance
GMAT 1: 670 Q48 V34
GPA: 3.8
WE: Operations (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 13 May 2016, 09:52
The question asked is effectively, as Divya pointed out is if x=y which is the simplified version of the equations in questions. only statement 2 answers this.

Kudos [?]: 83 [0], given: 197

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15503

Kudos [?]: 283 [0], given: 0

Premium Member
Re: If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 06 Jun 2017, 21:05
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 794

Kudos [?]: 37 [0], given: 165

Re: If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y? [#permalink]

Show Tags

New post 08 Sep 2017, 20:26
Silviax wrote:
If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y?

(1) y = 3 and x = 2
(2) z = -x


[Reveal] Spoiler:
Source: Manhattan Prep "Fractions, Decimals, Percents"

First they grouped all the "like" terns together and ended up with the equation z = x?
Answer: Only statement 2 is sufficient by itself. B

Why? I would have answered A because I plugged in the numbers given in statement 1 and solved for z. Then I came up with z = 2.
Then I plugged in the numbers for all 3 variables in the original equation (including z = 2) with the result of left side of equation = right side of equation so I can clearly answer the question with statement 1?


Rewrite and see the pattern here

Essentially 3x/2 +2x + y = 7x/2 + Y

This would mean that X would have to be equal to Y, x=y beccause

3x/2 +4x/2 + y = 7x/2 + Y

St 1

Clearly Insuff because we know nothing about Z

St 2

-x/2 + y 7x/2 +y = this could only be true if X were 0 but neither x nor y nor z can be 0

Suff

Kudos [?]: 37 [0], given: 165

Re: If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y?   [#permalink] 08 Sep 2017, 20:26
Display posts from previous: Sort by

If xyz ≠ 0, is 3x/2 + y + 2z = 7x/2 + y?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.