Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 18 Jul 2019, 10:38

### 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
Your Progress

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

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56256
If the median of Set A above is one less than the mode of Set A, which  [#permalink]

### Show Tags

18 Jul 2018, 21:17
1
2
00:00

Difficulty:

35% (medium)

Question Stats:

63% (01:38) correct 37% (01:38) wrong based on 52 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: 300
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, 21:31
1
Ascending order of the set:
{1,3,5,7,11}

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

Answer : D

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: 2558
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, 21:32
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 the median of Set A above is one less than the mode of Set A, which   [#permalink] 18 Jul 2018, 21:32
Display posts from previous: Sort by

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne