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

 It is currently 19 Aug 2019, 22:25

### 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

# Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 27 Oct 2017
Posts: 1246
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

### Show Tags

15 Dec 2018, 10:27
1
00:00

Difficulty:

35% (medium)

Question Stats:

56% (00:54) correct 44% (00:57) wrong based on 47 sessions

### HideShow timer Statistics

GMATbuster's Weekly Quant Quiz#13 Ques #10

Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mode in this data set, which of the

following could be x?

I. 2
II.5
III. 7

A. I
B.II
C.III
D I, II
E.I, III

_________________
Intern
Joined: 15 Nov 2018
Posts: 33
Location: United States
Concentration: Operations, Finance
GMAT 1: 650 Q48 V31
GPA: 3
WE: Engineering (Other)
Re: Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

### Show Tags

15 Dec 2018, 10:48
Since it cannot be 5 ,coz if it did there will be 2 modes : 2 and 5 only remaining option will be 2 and 7

Posted from my mobile device
Director
Joined: 13 Mar 2017
Posts: 731
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

### Show Tags

16 Dec 2018, 10:19
Given set of data is 2, 5, 7, 11, 2, 5, 6, 2, x
By arranging the nos. we get 2, 2, 2, 5, 5, 6, 7, 11, x
if there is only one mode in this data set, then x can be 2,6,7,11 or any other number except 5
If x = 5, then there will be two modes 2, 5.

I. 2 II.5 III. 7

_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Manager
Joined: 10 Oct 2018
Posts: 199
GPA: 4
Re: Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

### Show Tags

16 Dec 2018, 10:38
Mode the most frequently occurring number found in a set of numbers.
Here, the data set is 2, 5, 7, 11, 2, 5, 6, 2, x -> where 2 appears 3 times and 5 appears 2 times and rest all appears once. The question states that there is only one mode in this data set. Without looking at the options, we can say that mode has to be 2 because if x=2, then 2 will appear 4 times, which is maximum. If x=5, then both 2 and 5 would be 3 times and that is not possible as only one mode exists. Hence, x=2 and mode is 2. Option A
_________________
Manager
Joined: 09 Jul 2018
Posts: 64
Re: Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

### Show Tags

16 Dec 2018, 23:31
x is 2 as set has 1 mode
Manager
Joined: 08 Oct 2018
Posts: 64
Location: India
GPA: 4
WE: Brand Management (Health Care)
Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo  [#permalink]

### Show Tags

22 Dec 2018, 02:47
topper97 wrote:
Mode the most frequently occurring number found in a set of numbers.
Here, the data set is 2, 5, 7, 11, 2, 5, 6, 2, x -> where 2 appears 3 times and 5 appears 2 times and rest all appears once. The question states that there is only one mode in this data set. Without looking at the options, we can say that mode has to be 2 because if x=2, then 2 will appear 4 times, which is maximum. If x=5, then both 2 and 5 would be 3 times and that is not possible as only one mode exists. Hence, x=2 and mode is 2. Option A

I thought the same, and then failed, like about 40% of people who have attempted this question so far.

If x=7, there will be 2 '7s' in the set, and there will still be only 1 mode, i.e 2.
The lesson is to not take any question lightly, no matter how easy it seems.
_________________
We learn permanently when we teach,
We grow infinitely when we share.
Given the data set 2, 5, 7, 11, 2, 5, 6, 2, x, if there is only one mo   [#permalink] 22 Dec 2018, 02:47
Display posts from previous: Sort by