Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 03 Mar 2010
Posts: 395

What is the greatest integer in a set of five different
[#permalink]
Show Tags
12 May 2011, 02:23
Question Stats:
57% (01:45) correct 43% (01:49) wrong based on 81 sessions
HideShow timer Statistics
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.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
My dad once said to me: Son, nothing succeeds like success.



Retired Moderator
Joined: 20 Dec 2010
Posts: 1877

Re: Mean and Median
[#permalink]
Show Tags
12 May 2011, 02:41
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. Possible sets(considering all elements as different positive integers, sum=20, and the 3rd term=4) {1,2,4,6,7} {1,2,4,5,8} {1,3,4,5,7} Greatest integer can be 7 or 8. Not Sufficient. (2) The set contains only 1 even number. Clearly insufficient. Possible sets(considering all elements different +ves, only one element even and the smallest integer=1): {1,3,5,7,8} {1,3,4,5,7} Not Sufficient. Combing both(all different positive integers, middle number 4(only even in the set), sum=20); {1,3,4,5,7} Greatest integer is definitely 7. Sufficient. Ans: "C"
_________________
~fluke
GMAT Club Premium Membership  big benefits and savings



Senior Manager
Joined: 03 Mar 2010
Posts: 395

Re: Mean and Median
[#permalink]
Show Tags
12 May 2011, 02:55
@fluke Can you verify these two statements for me please? 1) Median and Mean of evenly spaced set of integers are equal True. 2) if the median and mean are equal, set of integers can or cannot be evenly spaced  True. Thanks.
_________________
My dad once said to me: Son, nothing succeeds like success.



VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1124

Re: Mean and Median
[#permalink]
Show Tags
12 May 2011, 08:52
using a and b the set is 1,3,4,5,7. Hence C.
_________________
Visit  http://www.sustainablesphere.com/ Promote Green Business,Sustainable Living and Green Earth !!



Director
Joined: 01 Feb 2011
Posts: 671

Re: Mean and Median
[#permalink]
Show Tags
12 May 2011, 19:57
1. Not sufficient
set could be any of the following
1 2 4 6 7
1 2 4 5 8 1 3 4 5 7
=> greatest number in the set could be 7 or 8.
2. Not sufficient
Together , Sufficient.
1 3 4 5 7
Answer is C.



Retired Moderator
Joined: 16 Nov 2010
Posts: 1458
Location: United States (IN)
Concentration: Strategy, Technology

Re: Mean and Median
[#permalink]
Show Tags
17 May 2011, 08:33
(1) Sum of integers = 20 So sum of remaining numbers = 19 S = {1,2,4,6,7} S = {1,3,4,5,7} Not Sufficient (2) S = {1,2,3,5,7} S = {1,2,4,5,7} Not Sufficient (1) + (2) S = {1,3,4,5,7} Greatest integer = 7 Answer  C
_________________
Formula of Life > Achievement/Potential = k * Happiness (where k is a constant)
GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 06 Jul 2014
Posts: 102
Location: India
Concentration: Finance, Entrepreneurship

Re: What is the greatest integer in a set of five different
[#permalink]
Show Tags
11 Aug 2017, 07:24
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.
Statement 1 alone is insufficient because many values are possible for the greatest integer such as 7 and 8.
Statement 2 alone is also insufficient because many values are possible for the greatest integer.
Combining 1 and 2, sufficient because the only possible value for the greatest integer is 7.



Intern
Joined: 18 Jan 2017
Posts: 40

Re: What is the greatest integer in a set of five different
[#permalink]
Show Tags
05 Dec 2017, 05:55
jamifahad 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. Info from prompt: set of five integers that includes 1 which is the smallest integer of the set. Looking for largest number in set. 1) The average (arithmetic mean) of all integers is 4 and the median of the set is also 4. From this statement we know average= 4 therefore the sum of the set = 20 > average=sum/total > 4=sum/5 > sum=20 Also know that 4 is the median, therefore we could have the following 3 sets of numbers: 1,2,4,5,8 1,2,4,6,7 1,3,4,5,7 not sufficient because we have multiple answers 7 or 8 could be the largest integer 2) The set contains only 1 even number. not sufficient because it doesn't give you any information to figure out what the largest integer in the set is. 1 & 2 together Only one of these sets has 1 even number 1,2,4,5,8 1,2,4,6,7 1,3,4,5,7so you can solve for the largest integer




Re: What is the greatest integer in a set of five different &nbs
[#permalink]
05 Dec 2017, 05:55






