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

 It is currently 14 Nov 2018, 11:58

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# If the median of Set A above is one less than the mode of Set A, which

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50585
If the median of Set A above is one less than the mode of Set A, which  [#permalink]

### Show Tags

18 Jul 2018, 20:17
00:00

Difficulty:

35% (medium)

Question Stats:

62% (01:28) correct 38% (01:34) wrong based on 47 sessions

### HideShow timer Statistics

Set A = {3, 1, 7, 5, 11, x}
If the median of Set A above is one less than the mode of Set A, which of the following is a possible value of x ?

A. 3
B. 5
C. 6
D. 7
E. 9

_________________
Senior Manager
Joined: 17 Jan 2017
Posts: 299
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Re: If the median of Set A above is one less than the mode of Set A, which  [#permalink]

### Show Tags

18 Jul 2018, 20:31
Ascending order of the set:
{1,3,5,7,11}

D) 7
Median = 7+5/2 = 6
Mode = 7
Median is one less than Mode

Posted from my mobile device
_________________

Only those who risk going too far, can possibly find out how far one can go

MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 953
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
If the median of Set A above is one less than the mode of Set A, which  [#permalink]

### Show Tags

18 Jul 2018, 20:32
Set A = {3, 1, 7, 5, 11, x}

Plugging in option values for x

x = 3

=> mode = 3

=> median of {1,3,3,5,7,11} = 4 $$\neq$$ mode - 1 INCORRECT

__________________________________________________________________________________________________

x = 5

=> mode = 5

=> median of {1,3,5,5,7,11} = 5 $$\neq$$ mode - 1 INCORRECT

__________________________________________________________________________________________________

x = 6

=> mode can be 1, 3, 5, 6, 7, 11

=> median of {1,3,5,6,7,11} = 5.5 $$\neq$$ mode - 1 INCORRECT

__________________________________________________________________________________________________

x = 7

=> mode is 7

=> median of {1,3,5,7,7,11} = 6 = mode - 1 CORRECT

__________________________________________________________________________________________________

x = 9

=> mode can be 1, 3, 5, 7, 9, 11

=> median of {1,3,5,7,9,11} = 6 $$\neq$$ mode - 1 INCORRECT

Hence option D
_________________

If you like my post press kudos +1

New project wSTAT(which Schools To Apply To?)

New - RC Butler - 2 RC's everyday

If the median of Set A above is one less than the mode of Set A, which &nbs [#permalink] 18 Jul 2018, 20:32
Display posts from previous: Sort by