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

It is currently 17 Nov 2019, 17:43

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

The average of set S comprising 5 non-zero integers is 0. What is its

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

Hide Tags

Find Similar Topics 
VP
VP
User avatar
V
Joined: 23 Feb 2015
Posts: 1303
GMAT ToolKit User Premium Member
The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post 22 Sep 2019, 12:17
1
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

44% (02:16) correct 56% (02:03) wrong based on 48 sessions

HideShow timer Statistics

The average of set S comprising 5 non-zero integers is 0. What is its median?
1) The range of set S is 3
2) Set S has a unique mode that is positive

_________________
“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
Henry Wadsworth Longfellow

SEARCH FOR ALL TAGS
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5277
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post Updated on: 01 Oct 2019, 08:00
Asad wrote:
The average of set S comprising 5 non-zero integers is 0. What is its median?
1) The range of set S is 3
2) Set S has a unique mode that is positive



#1
The range of set S is 3
-2,-1,1,1,1
2,1,-1,-1,-1
insufficient
#2
Set S has a unique mode that is positive
it can be any set value with mode of +ve value insufficient
from 1 &2
only possible set value -2,-1,1,1,1
median ; 1
IMO C

Originally posted by Archit3110 on 30 Sep 2019, 17:50.
Last edited by Archit3110 on 01 Oct 2019, 08:00, edited 2 times in total.
Intern
Intern
avatar
B
Joined: 05 Mar 2018
Posts: 22
The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post 30 Sep 2019, 21:42
the set value satisfy with both requirements is [-2,-1,1,1,1]
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8180
The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post 01 Oct 2019, 02:23
1
1
Archit3110 wrote:
Asad wrote:
The average of set S comprising 5 non-zero integers is 0. What is its median?
1) The range of set S is 3
2) Set S has a unique mode that is positive



I am not able to figure out what would be the set value which satisfies both the given statement


The set can be many as the digits need not be distinct, so -2, -1, 1,1,1...

The average of set S comprising 5 non-zero integers is 0. What is its median?

1) The range of set S is 3
It could be .. -1, -1, 0, 0, 2, but numbers are non-zero
or -2, -1, 1, 1, 1..
or 2,1, -1, -1, -1

2) Set S has a unique mode that is positive
-5, 1, 1, 1, 2 or -4, 1, 1, 1, 1

Combined..
If the numbers are in ascending order a, b, c, d, e.....a+b+c+d+e=0 and e-a=3
The max value of e can be 2, and then a will be -1, but then there will be atleast TWO -1 to cancel out 2.. hence mode will not be positive..
Only other option is when e is 1, then a=-2......-2, -1, 1, 1, 1
So 1 will be the median

C
_________________
Intern
Intern
avatar
B
Joined: 05 Mar 2018
Posts: 22
Re: The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post 01 Oct 2019, 04:46
chetan2u wrote:
Archit3110 wrote:
Asad wrote:
The average of set S comprising 5 non-zero integers is 0. What is its median?
1) The range of set S is 3
2) Set S has a unique mode that is positive



I am not able to figure out what would be the set value which satisfies both the given statement


The set can be many as the digits need not be distinct, so -2, -1, 1,1,1...

The average of set S comprising 5 non-zero integers is 0. What is its median?

1) The range of set S is 3
It could be .. -1, -1, 0, 0, 2 or -2, -1, 1, 1, 1..

2) Set S has a unique mode that is positive
-5, 1, 1, 1, 2 or -4, 1, 1, 1, 1

Combined..
If the numbers are in ascending order a, b, c, d, e.....a+b+c+d+e=0 and e-a=3
The max value of e can be 2, and then a will be -1, but then there will be atleast TWO -1 to cancel out 2.. hence mode will not be positive..
Only other option is when e is 1, then a=-2......-2, -1, 1, 1, 1
So 1 will be the median

C

In the premise, it defines the integers are NON-zero.
So considering statement 1: we have 2 possibilities, -2,-1,1,1,1 and 2,1,-1,-1-1.
considering both statement 1and 2: we only have 1 possibility.
Manager
Manager
User avatar
S
Joined: 23 Jul 2014
Posts: 81
Re: The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post 01 Oct 2019, 06:03
Took me 2:47s to do it. Appears to be a 700 level question. Any case, good one.
Manager
Manager
User avatar
G
Joined: 12 Jan 2018
Posts: 117
Re: The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post 05 Oct 2019, 06:56
Bunuel, How can we consider elements of a set to be identical? Isn't it against the definition of set? Have seen quite a few solutions on similar lines.
_________________
"Remember that guy that gave up?
Neither does anybody else"
Manager
Manager
User avatar
G
Joined: 12 Jan 2018
Posts: 117
Re: The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post 14 Oct 2019, 08:00
Archit3110 wrote:
Asad wrote:
The average of set S comprising 5 non-zero integers is 0. What is its median?
1) The range of set S is 3
2) Set S has a unique mode that is positive



#1
The range of set S is 3
-2,-1,1,1,1
2,1,-1,-1,-1
insufficient
#2
Set S has a unique mode that is positive
it can be any set value with mode of +ve value insufficient
from 1 &2
only possible set value -2,-1,1,1,1
median ; 1
IMO C


@ @Archit3110 How did you consider identical elements within a set? Isn't it against the very definition of a set?
_________________
"Remember that guy that gave up?
Neither does anybody else"
Senior Manager
Senior Manager
avatar
D
Joined: 30 Sep 2017
Posts: 410
Concentration: Technology, Entrepreneurship
GMAT 1: 720 Q49 V40
GPA: 3.8
WE: Engineering (Real Estate)
Premium Member Reviews Badge CAT Tests
Re: The average of set S comprising 5 non-zero integers is 0. What is its  [#permalink]

Show Tags

New post 14 Oct 2019, 08:28
Q. The average of set S comprising 5 non-zero integers is 0. What is its median?

1) The range of set S is 3
The set could be {-2, -1, 1, 1, 1} or {-1, -1, -1, 1, 2}. That means median can be 1 or -1.
Insufficient

2) Set S has a unique mode that is positive
The set could be {-2, -1, 1, 1, 1}, {-3, -3, 2, 2, 2}, {-6, -6, 4, 4, 4}, etc. That means median can be 1, 2, 4, etc.
Insufficient

1) and 2)
We can narrow down that the only possible set should be {-2, -1, 1, 1, 1}
sufficient

Final Answer is (C)
GMAT Club Bot
Re: The average of set S comprising 5 non-zero integers is 0. What is its   [#permalink] 14 Oct 2019, 08:28
Display posts from previous: Sort by

The average of set S comprising 5 non-zero integers is 0. What is its

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





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