January 20, 2019 January 20, 2019 07:00 AM PST 07:00 AM PST Get personalized insights on how to achieve your Target Quant Score. January 21, 2019 January 21, 2019 10:00 PM PST 11:00 PM PST Mark your calendars  All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52294

Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
11 Nov 2017, 04:16
Question Stats:
53% (01:23) correct 47% (01:26) wrong based on 324 sessions
HideShow timer Statistics




Retired Moderator
Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82

Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
Updated on: 11 Nov 2017, 05:44
Bunuel wrote: Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?
A. 60 B. 48 C. 45 D. 38 E. 32 \(Range = Max  Min\) so \(Min = Max  Range => Min = Max  60\) so for \(Min\) value to be the lowest \(Max\) value has to be as low as possible. But \(Max\) value cannot be lower than the median value. and as all numbers have to be different, so \(Max=15+7=22\) (as all numbers are integer, so to make Max value as low as possible, every number after median has to increase by 1) \(=> Min = 2260=38\) Option D
Originally posted by niks18 on 11 Nov 2017, 05:13.
Last edited by niks18 on 11 Nov 2017, 05:44, edited 2 times in total.




Director
Joined: 14 Nov 2014
Posts: 632
Location: India
GPA: 3.76

Re: Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
11 Nov 2017, 05:02
Bunuel wrote: Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?
A. 60 B. 48 C. 45 D. 38 E. 32 will go with C ... The largest number must be greater than or equal to 15.. lets plugin value ... a. 60 then if range have to be 60...greatest number will be 0 ( 0(60) = 60 range ..but greatest number cannot be less than 15 , so out b 48  we will get greatest number as 12 ..so out C 45 we will get greatest number as 15.... (15(45)) = 60 ..range ..so our answer ..



Senior Manager
Joined: 17 Oct 2016
Posts: 318
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)

Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
11 Nov 2017, 05:29
IMO D. Here median is asked. Hence the 8th number is the given median value i.e., 15. and the minimum 15th number is 22. Range = 22min. 60=22min min=2260 =38 Hence D
_________________
Help with kudos if u found the post useful. Thanks



Manager
Joined: 12 Feb 2017
Posts: 70

Re: Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
11 Nov 2017, 09:22
sobby wrote: Bunuel wrote: Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?
A. 60 B. 48 C. 45 D. 38 E. 32 will go with C ... The largest number must be greater than or equal to 15.. lets plugin value ... a. 60 then if range have to be 60...greatest number will be 0 ( 0(60) = 60 range ..but greatest number cannot be less than 15 , so out b 48  we will get greatest number as 12 ..so out C 45 we will get greatest number as 15.... (15(45)) = 60 ..range ..so our answer .. If the largest number in the set is 15 then how can you say that 15 will be a median? As the given set is a set of distinct number, we can not have 15 as a largest number. Answer should be D. 22(38)=60 38,........., 15(median), 16, 17,18,19,20,21,22



Intern
Joined: 24 Jul 2016
Posts: 2
Location: India

Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
11 Nov 2017, 18:19
Least possible value is Median  range = 1560 = 45 the lesser the maximum value, the lesser will be the minimum value. We can not lower the maximum value, beyond median, ie.,15.
Ans C



Retired Moderator
Joined: 25 Feb 2013
Posts: 1220
Location: India
GPA: 3.82

Re: Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
11 Nov 2017, 19:24
sudha8050 wrote: Least possible value is Median  range = 1560 = 45 the lesser the maximum value, the lesser will be the minimum value. We can not lower the maximum value, beyond median, ie.,15.
Ans C Hi sudha8050Here you are assuming that the Median, 15 = Maximum value. but its mentioned in the question that all numbers are different. so in my opinion answer should be D



Director
Joined: 21 May 2013
Posts: 660

Re: Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
12 Nov 2017, 00:02
sobby wrote: Bunuel wrote: Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?
A. 60 B. 48 C. 45 D. 38 E. 32 will go with C ... The largest number must be greater than or equal to 15.. lets plugin value ... a. 60 then if range have to be 60...greatest number will be 0 ( 0(60) = 60 range ..but greatest number cannot be less than 15 , so out b 48  we will get greatest number as 12 ..so out C 45 we will get greatest number as 15.... (15(45)) = 60 ..range ..so our answer .. C cant be the answer. Answer is D. We need 15 different integersso 15 cant be the greatest number.



Manager
Joined: 24 Sep 2018
Posts: 139

Re: Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
06 Oct 2018, 08:48
sudha8050 wrote: Least possible value is Median  range = 1560 = 45 the lesser the maximum value, the lesser will be the minimum value. We can not lower the maximum value, beyond median, ie.,15.
Ans C In this Min/Max problem, you should recognize that your goal is to come up with the smallest possible value, which means that you want to use as much of the range as possible on the smaller side of the scale. Since all integers must be different, and the middle value is 15, that means that of the seven values above 15 you want the smallest possible numbers: 16, 17, 18, 19, 20, 21, and 22.If the largest value is then 22, then you want to go 60 spaces in the opposite direction to use all the range at the low end. Since 22  60 = 38, 38 is the answer.
_________________
Please award kudos, If this post helped you in someway.



Intern
Joined: 19 Jul 2017
Posts: 35

Re: Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
01 Nov 2018, 11:16
Bunuel wrote: Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?
A. 60 B. 48 C. 45 D. 38 E. 32 Range=LS (LARGESTSMALLEST) L>15>S FROM CHOICES 6060=0 6048=12 6045=15 6038=22 6032=28 But we know 15 is MEDIAN SO IT IS THE EIGHTS IN SERIES SO D IS ANSWER COZ: 8, 9, 10,11,12,13,14, 15(median), 16, 17,18,19,20,21,22
_________________
He gives power to the faint; and to them that have no might he increases strength. Isaiah 40:29
You never FAIL until you stop TRYING



Manager
Joined: 22 Sep 2014
Posts: 109

Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
01 Nov 2018, 21:02
gaga different numbers ..
1516,17,18,19,20,21,22
22x=60 x=38



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4551
Location: United States (CA)

Re: Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
04 Nov 2018, 17:01
Bunuel wrote: Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?
A. 60 B. 48 C. 45 D. 38 E. 32 Since we want to determine the least possible integer in Set J, we want the greatest integer in set J to be as “small” as possible. Since the median is 15, the largest 7 values could be 16, 17, 18, 19, 20, 21, and 22. We see that the largest integer is 22, and, since the range is 60, the smallest integer in the set is 22  60 = 38. Answer: D
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Intern
Joined: 10 May 2018
Posts: 34

Re: Set J consists of 15 different integers. If the median of Set J is 15
[#permalink]
Show Tags
22 Nov 2018, 13:05
Bunuel wrote: Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?
A. 60 B. 48 C. 45 D. 38 E. 32 As range is given, the scenario in which the smallest value will have least value is when the highest value has the least value. If highest value = x, lowest value = x  60 We need the lowest value of x. As median is 15, the lowest value of the highest term is also 15 (the case when all values from median onwards are equal). Hence, lowest value = 15  60 = 45. C is my answer.




Re: Set J consists of 15 different integers. If the median of Set J is 15 &nbs
[#permalink]
22 Nov 2018, 13:05






