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.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Quant Quizzes are back with a Bang and with lots of Prizes. The first Quiz will be on 8th Dec, 6PM PST (7:30AM IST). The Quiz will be Live for 12 hrs. Solution can be posted anytime between 6PM-6AM PST. Please click the link for all of the details.
Join IIMU Director to gain an understanding of DEM program, its curriculum & about the career prospects through a Q&A chat session. Dec 11th at 8 PM IST and 6:30 PST
What is the greatest integer in a set of five different positive integ
[#permalink]
Show Tags
Updated on: 30 Oct 2019, 23:03
Bunuel wrote:
What is the greatest integer in a set of five different positive integers if 1 is the smallest integer in the set?
(1) The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. (2) The set contains only 1 even number.
set S= (1,a,b,c,d) #1 The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. S= (1,a,4,c,d) ; sum = 20 a+c+d= 15 now we can have many possibilities of having greatest integers (3,5,7) , (2,6,7), (2,5,8) insufficient #2 The set contains only 1 even number other info not know insufficient from 1 &2 only possibility is (1,3,4,5,7) greatest = 7 IMO C
Originally posted by Archit3110 on 30 Oct 2019, 08:52.
Last edited by Archit3110 on 30 Oct 2019, 23:03, edited 3 times in total.
Re: What is the greatest integer in a set of five different positive integ
[#permalink]
Show Tags
30 Oct 2019, 16:17
Hello there! (10,3,2) pair is not valid as median will change to 3. Rest of the explanation is perfect.
Archit3110 wrote:
Bunuel wrote:
What is the greatest integer in a set of five different positive integers if 1 is the smallest integer in the set?
(1) The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. (2) The set contains only 1 even number.
set S= (1,a,b,c,d) #1 The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. S= (1,a,4,c,d) ; sum = 20 a+c+d= 15 now we can have many possiblities of having greatest integers (10,3,2) or (9,2,4) or (7,5,3) insufficient #2 The set contains only 1 even number other info not know insufficient from 1 &2 only possibility is (1,3,4,5,7) greatest = 7 IMO C
Hello there! (10,3,2) pair is not valid as median will change to 3. Rest of the explanation is perfect.
Archit3110 wrote:
Bunuel wrote:
What is the greatest integer in a set of five different positive integers if 1 is the smallest integer in the set?
(1) The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. (2) The set contains only 1 even number.
set S= (1,a,b,c,d) #1 The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. S= (1,a,4,c,d) ; sum = 20 a+c+d= 15 now we can have many possiblities of having greatest integers (10,3,2) or (9,2,4) or (7,5,3) insufficient #2 The set contains only 1 even number other info not know insufficient from 1 &2 only possibility is (1,3,4,5,7) greatest = 7 IMO C
What is the greatest integer in a set of five different positive integ
[#permalink]
Show Tags
30 Oct 2019, 21:36
Archit3110 wrote:
Bunuel wrote:
What is the greatest integer in a set of five different positive integers if 1 is the smallest integer in the set?
(1) The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. (2) The set contains only 1 even number.
set S= (1,a,b,c,d) #1 The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. S= (1,a,4,c,d) ; sum = 20 a+c+d= 15 now we can have many possiblities of having greatest integers (9,2,4) or (7,5,3) insufficient #2 The set contains only 1 even number other info not know insufficient from 1 &2 only possibility is (1,3,4,5,7) greatest = 7 IMO C
Hi
In (9,2,4) isnot 4 repeated , but we are told they are unique integers so how is this possible? if median is 4 then others be less than 4 or greather than 4 if numbers are unique.Plz clear
Re: What is the greatest integer in a set of five different
[#permalink]
Show Tags
25 Nov 2019, 02:26
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
close
53% (02:29) correct 
