GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Jul 2018, 04:01

### 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

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

# If s,u, and v are positive integers and 2s=2u+2v

Author Message
TAGS:

### Hide Tags

Manager
Joined: 06 Jul 2011
Posts: 209
Location: Accra, Ghana
If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

Updated on: 20 Mar 2012, 00:17
2
00:00

Difficulty:

15% (low)

Question Stats:

72% (00:38) correct 28% (00:46) wrong based on 326 sessions

### HideShow timer Statistics

If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?

i. s=u
ii. u is not equal to v
iii. s > v

A. None
B. I only
C. II only
D. III only
E. II and III

Could someone explain this question a bit

Originally posted by dzodzo85 on 20 Mar 2012, 00:13.
Last edited by Bunuel on 20 Mar 2012, 00:17, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 47152
Re: If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

20 Mar 2012, 00:23
3
3
dzodzo85 wrote:
If s, u, and v are positive integers and 2s=2u+2v, which of the following must be true?

i. s=u
ii. u is not equal to v
iii. s > v

A. None
B. I only
C. II only
D. III only
E. II and III

Could someone explain this question a bit

Notice two things: 1. we are asked to find out which of the following MUST be true, not COULD be true and 2. s, u, and v are positive integers.

Given: 2s=2u+2v --> s=u+v. Now, since s, u, and v are positive integers then s is more than either u or v, so I is never true and III is always true. As for II: it's not necessarily true, for example 4=2+2. So, we have that only option III must be true.

Check Must or Could be True questions to practice: search.php?search_id=tag&tag_id=193

Hope it helps.
_________________
##### General Discussion
Manager
Status: And the Prep starts again...
Joined: 03 Aug 2010
Posts: 124
Re: If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

16 Apr 2012, 00:51
1
Bunuel,

Not sure what I am missing here!!

s=u+v, why is S>V is always true?

Can we not have 2=2+0? In that case S=V, Right?
_________________

My First Blog on my GMAT Journey

Arise, Awake and Stop not till the goal is reached

Manager
Status: And the Prep starts again...
Joined: 03 Aug 2010
Posts: 124
Re: If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

16 Apr 2012, 00:53
ENAFEX wrote:
Bunuel,

Not sure what I am missing here!!

s=u+v, why is S>V is always true?

Can we not have 2=2+0? In that case S=V, Right?

ooppss!! Sorry guys just realised my mistake.

0 is neither positive nor negative. So for this question because it says s,u,v are positive integers, the above argument is not valid.
_________________

My First Blog on my GMAT Journey

Arise, Awake and Stop not till the goal is reached

Senior Manager
Joined: 13 Mar 2012
Posts: 294
Concentration: Operations, Strategy
Re: If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

16 Apr 2012, 00:55
ENAFEX wrote:
Bunuel,

Not sure what I am missing here!!

s=u+v, why is S>V is always true?

Can we not have 2=2+0? In that case S=V, Right?

none if s,u and v can have value=0 as they are positive that is >0

hope this helps...!!
_________________

Practice Practice and practice...!!

If there's a loophole in my analysis--> suggest measures to make it airtight.

Intern
Joined: 25 Mar 2012
Posts: 26
Re: If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

18 Jul 2012, 11:44
2s = 2u + 2v

2(3) =2(2) +2(1)
2(4)=2(2)+2(2)

from the above two instances ,
(i) s= u (NOT ALWAYS)
(ii) u not equal to v (not always)
(iii) s > v (ALWAYS)

you can plug in various values and see . the third statement holds true always.

Ans : D
Director
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 613
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Re: If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

19 Jul 2012, 03:38
If s,u, and v are positive integers and 2s=2u+2v, which of the following must be true?

i. s=u
ii. u is not equal to v
iii. s > v

i. There is no way we can conclude that s=u from the given information

ii. There is no way we can conclude that u is not qual to v

iii. 2s = 2u + 2v => s= u +v since u is positive so S will be greater than V so its True!

Hope it Helps!
_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Manager
Joined: 11 Oct 2013
Posts: 115
Concentration: Marketing, General Management
GMAT 1: 600 Q41 V31
Re: If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

09 Dec 2015, 07:16
I don't think this is an official question. There is a similar problem in OG 12, that says $$2^s = 2^u + 2^v$$
_________________

Its not over..

Non-Human User
Joined: 09 Sep 2013
Posts: 7307
Re: If s,u, and v are positive integers and 2s=2u+2v  [#permalink]

### Show Tags

19 Sep 2017, 08:15
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.
_________________
Re: If s,u, and v are positive integers and 2s=2u+2v &nbs [#permalink] 19 Sep 2017, 08:15
Display posts from previous: Sort by

# Events & Promotions

 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®.