Last visit was: 12 Dec 2024, 05:36 It is currently 12 Dec 2024, 05:36
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
Close
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 12 Dec 2024
Posts: 97,842
Own Kudos:
685,262
Given Kudos: 88,254
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,842
Kudos: 685,262
If the average (arithmetic mean) of 13, 17, x, 12 and 16 is greater 19 Dec 2016, 05:38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

84% (01:44) correct 16% (01:27) wrong based on 103 sessions

History

Date
Time
Result
Not Attempted Yet
If the average (arithmetic mean) of 13, 17, x, 12 and 16 is greater than 15, which of the following must be true?

I. x is the median of the numbers
II. x is equal to 15
III. x is greater than the average of the numbers

A. None
B. I only
C. II only
D. III only
E. II and III
ShowHide Answer
Official Answer
D
avatar
Anannt
avatar
Joined: 24 Sep 2016
Last visit: 20 Sep 2018
Posts: 15
Own Kudos:
19
Posts: 15
Kudos: 19
If the average (arithmetic mean) of 13, 17, x, 12 and 16 is greater 19 Dec 2016, 07:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Ans D :
total 5 nos & avg >15. Therefore sum >15*5 i. e. 75 sum of given nos 58, therefore x > (75-58)i.e.17. Only III satisfy the condition.

Sent from my Mi 4i using GMAT Club Forum mobile app
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 02 Oct 2024
Posts: 6,014
Own Kudos:
4,948
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 6,014
Kudos: 4,948
If the average (arithmetic mean) of 13, 17, x, 12 and 16 is greater 19 Dec 2016, 09:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the average (arithmetic mean) of 13, 17, x, 12 and 16 is greater than 15, which of the following must be true?

I. x is the median of the numbers
II. x is equal to 15
III. x is greater than the average of the numbers

A. None
B. I only
C. II only
D. III only
E. II and III

\(\frac{13 + 17 + x + 12 + 16}{5} > 15\)

Or, \(58 + x > 75\)

So, \(x > 17\)

I. 12,13,16,17, x - The median of the set of numbers will be 13

II. x is not equall to 15, infact x > 17

III. Truw, x is > 17 the average 15

Hence, correct answer must be (D) III only
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 3,023
Own Kudos:
7,205
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert reply
Posts: 3,023
Kudos: 7,205
If the average (arithmetic mean) of 13, 17, x, 12 and 16 is greater 21 Dec 2016, 10:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If the average (arithmetic mean) of 13, 17, x, 12 and 16 is greater than 15, which of the following must be true?

I. x is the median of the numbers
II. x is equal to 15
III. x is greater than the average of the numbers

A. None
B. I only
C. II only
D. III only
E. II and III

We are given that the average of 13, 17, x, 12, and 16 is greater than 15. Let’s use the formula for calculating the average (average = sum/number of items) to express this.
(13 + 17 + x + 12 + 16)/5 > 15

(58 + x)/5 > 15

58 + x > 75

x > 17

Let’s now analyze each Roman numeral.

I. x is the median of the numbers.

Since x > 17, we see that x must be the largest number in the list when we order the numbers from least to greatest:

12, 13, 15, 16, 17, x

Since x is the largest number, Roman numeral I is not true.

II. x is equal to 15.

Since x > 17, x cannot be 15. Roman numeral II is not true.

III. x is greater than the average of the numbers.

Since we’ve shown that x is the largest number in the list, it has to be greater than the average of the numbers. Roman numeral III is true.

Answer: D
Moderator:
Bunuel
Math Expert
97842 posts