Author 
Message 
TAGS:

Hide Tags

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

If s,u, and v are positive integers and 2s=2u+2v [#permalink]
Show Tags
20 Mar 2012, 00:13
2
This post received KUDOS
1
This post was BOOKMARKED
Question Stats:
72% (01:38) correct
28% (00:47) wrong based on 245 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
Official Answer and Stats are available only to registered users. Register/ Login.
Last edited by Bunuel on 20 Mar 2012, 00:17, edited 1 time in total.
Added the OA



Math Expert
Joined: 02 Sep 2009
Posts: 39753

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]
Show Tags
20 Mar 2012, 00:23
3
This post received 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. Answer: D. Check Must or Could be True questions to practice: search.php?search_id=tag&tag_id=193Hope it helps.
_________________
New to the Math Forum? Please read this: 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? Extrahard Quant Tests with Brilliant Analytics



Manager
Status: And the Prep starts again...
Joined: 03 Aug 2010
Posts: 137

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]
Show Tags
16 Apr 2012, 00:51
1
This post received 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: 137

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: 357
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 my reply /analysis is helpful>please press KUDOS If there's a loophole in my analysis> suggest measures to make it airtight.



Intern
Joined: 25 Mar 2012
Posts: 34

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: 619
Location: India
Concentration: Finance, Marketing
GMAT 1: 570 Q49 V19 GMAT 2: 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! Hence, Answer is D 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: 16026

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]
Show Tags
10 Oct 2013, 10:30
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 Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16026

Re: If s,u, and v are positive integers and 2s=2u+2v [#permalink]
Show Tags
25 Nov 2014, 13:22
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.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Current Student
Joined: 11 Oct 2013
Posts: 122
Concentration: Marketing, General Management

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 \(2^s = 2^u + 2^v\) Answer options are the same.
_________________
Its not over..




Re: If s,u, and v are positive integers and 2s=2u+2v
[#permalink]
09 Dec 2015, 07:16








Similar topics 
Author 
Replies 
Last post 
Similar Topics:


17


The sum of three integers A, B and C is 120. A is one third of the su

shasadou 
5 
12 Apr 2017, 20:30 

13


If the sum of the first n positive odd integers is n^2, what is the su

maverickjin8 
5 
18 Mar 2017, 13:35 

13


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

Bunuel 
12 
16 Jan 2017, 18:14 



If n, p, q, and r are consecutive integers, what is their su

josemnz83 
4 
11 Feb 2014, 04:51 

11


In an increasing sequence of 10 consecutive integers, the su

MBAhereIcome 
7 
11 Oct 2013, 03:12 



