If s,u, and v are positive integers and 2s=2u+2v : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 07 Dec 2016, 11:05

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 06 Jul 2011
Posts: 213
Location: Accra, Ghana
Followers: 1

Kudos [?]: 55 [2] , given: 39

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

### Show Tags

19 Mar 2012, 23:13
2
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

72% (01:38) correct 28% (00:48) wrong based on 228 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
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Mar 2012, 23:17, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 35912
Followers: 6851

Kudos [?]: 90021 [3] , given: 10402

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

19 Mar 2012, 23:23
3
KUDOS
Expert's post
1
This post was
BOOKMARKED
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.
_________________
Manager
Status: And the Prep starts again...
Joined: 03 Aug 2010
Posts: 138
Followers: 2

Kudos [?]: 45 [1] , given: 20

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

15 Apr 2012, 23:51
1
KUDOS
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: 138
Followers: 2

Kudos [?]: 45 [0], given: 20

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

15 Apr 2012, 23:53
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: 12 Mar 2012
Posts: 369
Concentration: Operations, Strategy
Followers: 2

Kudos [?]: 160 [0], given: 31

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

15 Apr 2012, 23:55
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: 34
Followers: 0

Kudos [?]: 1 [0], given: 26

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

18 Jul 2012, 10:44
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: 582
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 98

Kudos [?]: 546 [0], given: 55

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

19 Jul 2012, 02:38
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

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12886
Followers: 561

Kudos [?]: 158 [0], given: 0

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

10 Oct 2013, 09:30
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 Club Legend
Joined: 09 Sep 2013
Posts: 12886
Followers: 561

Kudos [?]: 158 [0], given: 0

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

25 Nov 2014, 12:22
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.
_________________
Current Student
Joined: 11 Oct 2013
Posts: 124
Concentration: Marketing, General Management
GMAT 1: 600 Q41 V31
Followers: 1

Kudos [?]: 47 [0], given: 137

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]

### Show Tags

09 Dec 2015, 06:16
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..

Re: If s,u, and v are positive integers and 2s=2u+2v   [#permalink] 09 Dec 2015, 06:16
Similar topics Replies Last post
Similar
Topics:
9 The sum of three integers A, B and C is 120. A is one third of the su 2 30 Jan 2016, 08:28
7 If the sum of the first n positive odd integers is n^2, what is the su 3 02 Dec 2015, 04:27
6 If s, u, and v are positive integers and 2s = 2u+ 2v, which 9 03 Mar 2014, 00:24
If n, p, q, and r are consecutive integers, what is their su 4 11 Jul 2013, 12:08
11 In an increasing sequence of 10 consecutive integers, the su 7 30 Aug 2011, 02:59
Display posts from previous: Sort by