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

 It is currently 19 Oct 2019, 23:24

### 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

# A set of data consists of the terms {2, 8, 13, 15, x}. If the range of

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58445
A set of data consists of the terms {2, 8, 13, 15, x}. If the range of  [#permalink]

### Show Tags

11 Jul 2017, 23:48
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:19) correct 35% (01:16) wrong based on 104 sessions

### HideShow timer Statistics

A set of data consists of the terms {2, 8, 13, 15, x}. If the range of the set is 2x, which of the following could be the value of x?

A. -2
B. 3.5
C. 5
D. 6.5
E. 7.5

_________________
Manager
Joined: 14 Oct 2015
Posts: 244
GPA: 3.57
A set of data consists of the terms {2, 8, 13, 15, x}. If the range of  [#permalink]

### Show Tags

Updated on: 12 Jul 2017, 00:04
Bunuel wrote:
A set of data consists of the terms {2, 8, 13, 15, x}. If the range of the set is 2x, which of the following could be the value of x?

A. -2
B. 3.5
C. 5
D. 6.5
E. 7.5

It should be D. Range from the available numbers is $$15 - 2 = 13$$.

If we plug in $$2x = 13$$, $$x$$ comes out to be $$6.5$$.

2 times A, B and C are already smaller than the minimum range possible for the set and 7.5 is greater than the range of available values.
_________________
Please hit Kudos if this post helped you inch closer to your GMAT goal.
Procrastination is the termite constantly trying to eat your GMAT tree from the inside.
There is one fix to every problem, working harder!

Originally posted by jedit on 12 Jul 2017, 00:01.
Last edited by jedit on 12 Jul 2017, 00:04, edited 1 time in total.
Retired Moderator
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1333
Location: Viet Nam
A set of data consists of the terms {2, 8, 13, 15, x}. If the range of  [#permalink]

### Show Tags

12 Jul 2017, 00:04
1
Bunuel wrote:
A set of data consists of the terms {2, 8, 13, 15, x}. If the range of the set is 2x, which of the following could be the value of x?

A. -2
B. 3.5
C. 5
D. 6.5
E. 7.5

If $$2 \leq x \leq 15$$, the set of data {2, 8, 13, x, 15} has range: $$15-2=13=2x \implies x=6.5$$. Option D.

If $$x > 15$$, the set of data {2, 8, 13, 15, x} has range: $$x-2=2x \implies x=-2$$, not correct.

If $$x<2$$, the set of data {x, 2, 8, 13, 15} has range: $$15-x=2x \implies x=5$$, not correct.

_________________
Intern
Joined: 20 Sep 2016
Posts: 20
Re: A set of data consists of the terms {2, 8, 13, 15, x}. If the range of  [#permalink]

### Show Tags

12 Jul 2017, 19:02
Range= Max value -Min Value
Use number Pick from answer choice.Start from option c. (in option c; x=5 ; range 15-2=13 and 2x=10 thus we need to go for higher value of x) Move to the higher end of option choices. pick option d. x=6.5 (2x=6.5*2=13 satisfied).

D.
Re: A set of data consists of the terms {2, 8, 13, 15, x}. If the range of   [#permalink] 12 Jul 2017, 19:02
Display posts from previous: Sort by