It is currently 18 Jan 2018, 19:57

### 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 0 < x < 2, which of the following must be greatest?

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 29 Oct 2013
Posts: 284

Kudos [?]: 520 [1], given: 197

Concentration: Finance
GPA: 3.7
WE: Corporate Finance (Retail Banking)
If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

08 Jun 2014, 22:48
1
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

88% (00:50) correct 12% (00:33) wrong based on 266 sessions

### HideShow timer Statistics

If 0 < x < 2, which of the following must be greatest?

(A) x
(B) x^2
(C) 2x
(D) x + 2
(E) 2^x
[Reveal] Spoiler: OA

_________________

My journey V46 and 750 -> http://gmatclub.com/forum/my-journey-to-46-on-verbal-750overall-171722.html#p1367876

Kudos [?]: 520 [1], given: 197

Retired Moderator
Joined: 10 May 2010
Posts: 823

Kudos [?]: 445 [0], given: 192

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

08 Jun 2014, 22:52
A graphical solution is the best in this case.

At $$x = 0$$ , try to compare values of all functions, only two functions have non zero values $$x+2 = 2, 2^x = 1$$.
_________________

The question is not can you rise up to iconic! The real question is will you ?

Kudos [?]: 445 [0], given: 192

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1844

Kudos [?]: 2861 [2], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

24 Jun 2014, 02:06
2
KUDOS
For x = 1, try the options given

(A) x = 1
(B) $$x^2 = 1^2 = 1$$
(C) 2x = 2
(D) x + 2 = 1 + 2 = 3
(E) $$2^x = 2^1 = 2$$

_________________

Kindly press "+1 Kudos" to appreciate

Kudos [?]: 2861 [2], given: 193

Intern
Joined: 11 Sep 2016
Posts: 4

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

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

13 Sep 2016, 19:19
why can it not be 1.5? are they looking for integers specifically

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

Math Expert
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139442 [0], given: 12790

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

13 Sep 2016, 23:38
why can it not be 1.5? are they looking for integers specifically

x can be any number satisfying 0 < x < 2, including fractions. For any x from that range options D is the greatest.
_________________

Kudos [?]: 139442 [0], given: 12790

Senior Manager
Joined: 25 Mar 2013
Posts: 273

Kudos [?]: 38 [0], given: 101

Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

02 Jan 2017, 15:57
0 < x < 2
x > 0 , x < 2
x = 1
D
_________________

I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you

Kudos [?]: 38 [0], given: 101

Intern
Joined: 26 Sep 2016
Posts: 2

Kudos [?]: 1 [0], given: 3

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

05 Apr 2017, 18:56
If x has to be less than 2 then how option D is the answer ? since D says x=2.

Kudos [?]: 1 [0], given: 3

Math Expert
Joined: 02 Sep 2009
Posts: 43322

Kudos [?]: 139442 [0], given: 12790

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

05 Apr 2017, 20:36
Shekhar44 wrote:
If x has to be less than 2 then how option D is the answer ? since D says x=2.

Option D is x + 2, not x = 2.
_________________

Kudos [?]: 139442 [0], given: 12790

Director
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 515

Kudos [?]: 637 [1], given: 6

Location: India
GMAT 1: 780 Q51 V46
Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

05 Apr 2017, 21:20
1
KUDOS
Top Contributor
Hi,

The best way to solve any MUST-BE/COULD –BE question in GMAT is plugging in,

Just plug values based out of the range given in the question,

Let’s pick x= 1

(A) x --> 1

(B) x^2 -->1

(C) 2x -->2

(D) x + 2 -->3

(E) 2^x -->2

So answer has to be D.

Here we are little lucky, because we plugged in value, we got the answer.

But sometime we might have to Plug more than once to get to a final answer.

Some students might think, we have plugged in only one value, what if we try other values and we might get more options,

Just remember this in GMAT, MUST BE means “Always”. So here all the other four options were not greater than D for x = 1. So we can eliminate.

Hope this helps.
_________________

Join Free 4 part MBA Through GMAT Video Training Series here -
https://gmat.crackverbal.com/mba-through-gmat-video-2018

Enroll for our GMAT Trial Course here -
http://gmatonline.crackverbal.com/

Kudos [?]: 637 [1], given: 6

SVP
Joined: 11 Sep 2015
Posts: 1990

Kudos [?]: 2867 [0], given: 364

Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

### Show Tags

29 Nov 2017, 08:26
Expert's post
Top Contributor
NoHalfMeasures wrote:
If 0 < x < 2, which of the following must be greatest?

(A) x
(B) x^2
(C) 2x
(D) x + 2
(E) 2^x

The key word here is MUST.
That is, the correct answer must yield the biggest value for ALL values of x between 0 and 2
So, we need only test ONE of the possible x-values.

Let's test x = 1

We get....
(A) x = 1
(B) x^2 = 1^2 = 1
(C) 2x = (2)(1) = 2
(D) x + 2 = 1 + 2 = 3
(E) 2^x = 2^1 = 2

Since D yields the biggest value, then the correct answer MUST be D

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Kudos [?]: 2867 [0], given: 364

Re: If 0 < x < 2, which of the following must be greatest?   [#permalink] 29 Nov 2017, 08:26
Display posts from previous: Sort by