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

It is currently 20 Jul 2018, 18:29

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.

Close

Request Expert Reply

Confirm Cancel

If 0 < a < b < c, does the median of a, b, and c equal the mean of a,

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47157
If 0 < a < b < c, does the median of a, b, and c equal the mean of a,  [#permalink]

Show Tags

New post 13 Apr 2018, 01:21
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

50% (01:16) correct 50% (01:51) wrong based on 60 sessions

HideShow timer Statistics

If 0 < a < b < c, does the median of a, b, and c equal the mean of a, b, and c?

(1) The range of a, b, and c equals 2(c - b).
(2) The sum of a, b, and c is three times one of the numbers a, b, or c.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1288
Location: India
Premium Member
Re: If 0 < a < b < c, does the median of a, b, and c equal the mean of a,  [#permalink]

Show Tags

New post 13 Apr 2018, 11:01
Bunuel wrote:
If 0 < a < b < c, does the median of a, b, and c equal the mean of a, b, and c?

(1) The range of a, b, and c equals 2(c - b).
(2) The sum of a, b, and c is three times one of the numbers a, b, or c.


Here a, b, c are unequal positive numbers such that a < b < c. So their median is definitely 'b'. We need to know whether their mean is also equal to 'b' or not.

(1) Range of a, b, c = c - a. This is given as 2(c-b). So c - a = 2c - 2b or c = 2b - a or c + a = 2b.
Their mean = (a+b+c)/3 = (2b+b)/3 = b. So the mean is same as median. Sufficient.

(2) Sum = a+b+c. Since the numbers are unequal and sum is three times one of these, it could only be equal to three times b (since b is the middle number).
So a+b+c = 3b or a+c = 2b. Same as in first statement, so mean = b, same as median. Sufficient.

Hence D answer
Director
Director
avatar
G
Joined: 02 Oct 2017
Posts: 601
Re: If 0 < a < b < c, does the median of a, b, and c equal the mean of a,  [#permalink]

Show Tags

New post 27 Apr 2018, 22:32
Mean would be equal to median if sequence is in AP

I)c-a=2(c-b)
Solving this we get
2b=c+a
Which is basic condition of AP
Sufficient

II)a+b+c=3a or 3b or 3c
Which will yield to a+c=2b or a+b=2c or b+c=2a
In every case basic condition of AP is fulfilled
Sufficient

Answer D

Posted from my mobile device
Re: If 0 < a < b < c, does the median of a, b, and c equal the mean of a, &nbs [#permalink] 27 Apr 2018, 22:32
Display posts from previous: Sort by

If 0 < a < b < c, does the median of a, b, and c equal the mean of a,

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.