It is currently 24 Mar 2018, 01:26

### 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 June
Open Detailed Calendar

# M19-26

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44421

### Show Tags

16 Sep 2014, 01:06
Expert's post
13
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

40% (00:59) correct 60% (00:58) wrong based on 161 sessions

### HideShow timer Statistics

What is the sum of four consecutive odd integers?

(1) The product of the four integers is 105

(2) The median of the four integers is 4
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 44421

### Show Tags

16 Sep 2014, 01:06
3
KUDOS
Expert's post
1
This post was
BOOKMARKED
Official Solution:

Statement (1) by itself is insufficient. Both $$\{-1, -3, -5, -7\}$$ and $$\{1, 3, 5, 7\}$$ are possible sets.

Statement (2) by itself is sufficient. The median of four consecutive odd integers always equals their mean, therefore, the sum of the integers is $$4*4 = 16$$.

_________________
Intern
Joined: 14 Jun 2015
Posts: 17

### Show Tags

10 Nov 2016, 14:20
I think this is a high-quality question and the explanation isn't clear enough, please elaborate. Hi,

Are negative integers considered for odd and even? I have this doubt because Prime numbers don not include negative numbers, and i believe that same rule holds for odd/even as well. Please help me with this. Thanks.
Intern
Joined: 10 Jun 2016
Posts: 1

### Show Tags

10 Nov 2016, 19:20
@Saurav Arora
(1). It is not written in the question that we have to take prime numbers.
(2). 3, 5 and 7 are prime numbers, but 1 is not a prime number.
(3). These terms exist, such as negative odds/evens and positive odds/evens. So, it is right.

I hope you'll find this useful.

Sent from my LS-5016 using GMAT Club Forum mobile app
Intern
Joined: 25 Jan 2017
Posts: 5

### Show Tags

28 Aug 2017, 17:15
Bunuel wrote:
Official Solution:

Statement (2) by itself is sufficient. The median of four consecutive odd integers always equals their mean, therefore, the sum of the integers is $$4*4 = 16$$.

Can someone explain why the bolded part is true? I tried using numbers and it is indeed the case, but I am curious as to why it's true and how I can predict similar patterns.
Director
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 526
Location: India
GPA: 3.64

### Show Tags

12 Sep 2017, 12:09
mba.2020 wrote:
Bunuel wrote:
Official Solution:

Statement (2) by itself is sufficient. The median of four consecutive odd integers always equals their mean, therefore, the sum of the integers is $$4*4 = 16$$.

Can someone explain why the bolded part is true? I tried using numbers and it is indeed the case, but I am curious as to why it's true and how I can predict similar patterns.

The median of 4 terms will be average of 2nd and 3rd term.
Since the numbers are evenly spaced i.e. consecutive odd numbers, average of middle 2 numbers or last 2 terms will give the mean hence, it is same as median.

Please give kudos, if u find this post useful.
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Intern
Joined: 29 Nov 2016
Posts: 1

### Show Tags

16 Feb 2018, 14:30
We can assume the numbers are x-3,x-1,x+1,x-3.
Therefore sum=4x
Median of these numbers=Mean of x-1 and x+1=x

Statement 1, the numbers can be 1,3,5,7 or -1,-3,-5,-7. Not sufficient
Statement 2 If median is 4, x=4 and the sum is 4x=16. Sufficient.
M19-26   [#permalink] 16 Feb 2018, 14:30
Display posts from previous: Sort by

# M19-26

Moderators: chetan2u, Bunuel

 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®.