Author 
Message 
TAGS:

Hide Tags

VP
Joined: 23 Feb 2015
Posts: 1303

The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
22 Sep 2019, 12:17
Question Stats:
44% (02:16) correct 56% (02:03) wrong based on 48 sessions
HideShow timer Statistics
The average of set S comprising 5 nonzero 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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
“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 LongfellowSEARCH FOR ALL TAGS



GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5277
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
Updated on: 01 Oct 2019, 08:00
Asad wrote: The average of set S comprising 5 nonzero 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
Joined: 05 Mar 2018
Posts: 22

The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
30 Sep 2019, 21:42
the set value satisfy with both requirements is [2,1,1,1,1]



Math Expert
Joined: 02 Aug 2009
Posts: 8180

The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
01 Oct 2019, 02:23
Archit3110 wrote: Asad wrote: The average of set S comprising 5 nonzero 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 nonzero 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 nonzero 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 ea=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
Joined: 05 Mar 2018
Posts: 22

Re: The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
01 Oct 2019, 04:46
chetan2u wrote: Archit3110 wrote: Asad wrote: The average of set S comprising 5 nonzero 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 nonzero 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 ea=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 NONzero. So considering statement 1: we have 2 possibilities, 2,1,1,1,1 and 2,1,1,11. considering both statement 1and 2: we only have 1 possibility.



Manager
Joined: 23 Jul 2014
Posts: 81

Re: The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
01 Oct 2019, 06:03
Took me 2:47s to do it. Appears to be a 700 level question. Any case, good one.



Manager
Joined: 12 Jan 2018
Posts: 117

Re: The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
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
Joined: 12 Jan 2018
Posts: 117

Re: The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
14 Oct 2019, 08:00
Archit3110 wrote: Asad wrote: The average of set S comprising 5 nonzero 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
Joined: 30 Sep 2017
Posts: 410
Concentration: Technology, Entrepreneurship
GPA: 3.8
WE: Engineering (Real Estate)

Re: The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
Show Tags
14 Oct 2019, 08:28
Q. The average of set S comprising 5 nonzero 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)




Re: The average of set S comprising 5 nonzero integers is 0. What is its
[#permalink]
14 Oct 2019, 08:28






