It is currently 23 Sep 2017, 13:06

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Three people each took 5 tests. If the ranges of their score

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

Hide Tags

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 17622

Kudos [?]: 271 [0], given: 0

Premium Member
Re: Three people each took 5 tests. If the ranges of their score [#permalink]

Show Tags

New post 22 Aug 2016, 10:55
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 271 [0], given: 0

Intern
Intern
avatar
B
Joined: 07 May 2017
Posts: 9

Kudos [?]: 0 [0], given: 7

Re: Three people each took 5 tests. If the ranges of their score [#permalink]

Show Tags

New post 07 May 2017, 07:13
VeritasPrepKarishma wrote:
shankar245 wrote:
Hi Bunuel/Karihsma,


Can you please may be explain in a bit more detail the minimum part.
I'm stuck with question of possibilities, I mean what if the first set had this value or that value.

thanks


The minimum range of the entire group will be the maximum range of individuals.
Say there are 3 people:
Anna - 30, 38, 45, 46, 47 - Range 17
Beth - 20, 29, 36, 39, 48 - Range 28
Candi - 20, 25, 39, 49, 55 - Range 35

So Candi has 2 scores such that they have a difference of 35 between them (the smallest and the greatest scores).
When we put everyone's scores together and try to find the range, these two scores will still be there. There is a difference of 35 between them and that will stay. So no matter what, the range will be at least 35. In this case the lowest score out of all is 20 and highest is 55 so the range will be 35.

It could be more as well. E.g.

Anna - 30, 38, 45, 46, 47 - Range 17
Beth - 10, 19, 26, 29, 38 - Range 28
Candi - 20, 25, 39, 49, 55 - Range 35

Now taking all scores together, lowest score is 10 and highest is 55 so range becomes 45.

It can keep increasing in this way.


I'm trying to understand this question and the closest I can get to understanding is your answer. However, the original question does not tell us what their individual scores were. It only gives us ranges. Is your explanation still valid if their scores were:

Anna: 6, 12, 14, 16, 23 - range 17
Beth: 8, 10, 12, 14, 36 - range 28
Candi: 10, 12, 14, 20, 45 - range 35

Wouldn't now the minimum range be from 6-45, which is 39? The question tells us the ranges, it seems to me that everyone just assumes that Anna's lowest score was higher than Beth's and Candi's lowest score and that Anna's highest score is also lower than Beth's and Candi's (so that her scores fall right in the middle of the other two's scores and so on).

Thank you!

Kudos [?]: 0 [0], given: 7

Expert Post
2 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7615

Kudos [?]: 16940 [2], given: 230

Location: Pune, India
Re: Three people each took 5 tests. If the ranges of their score [#permalink]

Show Tags

New post 08 May 2017, 07:43
2
This post received
KUDOS
Expert's post
wodan wrote:
VeritasPrepKarishma wrote:
shankar245 wrote:
Hi Bunuel/Karihsma,


Can you please may be explain in a bit more detail the minimum part.
I'm stuck with question of possibilities, I mean what if the first set had this value or that value.

thanks


The minimum range of the entire group will be the maximum range of individuals.
Say there are 3 people:
Anna - 30, 38, 45, 46, 47 - Range 17
Beth - 20, 29, 36, 39, 48 - Range 28
Candi - 20, 25, 39, 49, 55 - Range 35

So Candi has 2 scores such that they have a difference of 35 between them (the smallest and the greatest scores).
When we put everyone's scores together and try to find the range, these two scores will still be there. There is a difference of 35 between them and that will stay. So no matter what, the range will be at least 35. In this case the lowest score out of all is 20 and highest is 55 so the range will be 35.

It could be more as well. E.g.

Anna - 30, 38, 45, 46, 47 - Range 17
Beth - 10, 19, 26, 29, 38 - Range 28
Candi - 20, 25, 39, 49, 55 - Range 35

Now taking all scores together, lowest score is 10 and highest is 55 so range becomes 45.

It can keep increasing in this way.


I'm trying to understand this question and the closest I can get to understanding is your answer. However, the original question does not tell us what their individual scores were. It only gives us ranges. Is your explanation still valid if their scores were:

Anna: 6, 12, 14, 16, 23 - range 17
Beth: 8, 10, 12, 14, 36 - range 28
Candi: 10, 12, 14, 20, 45 - range 35

Wouldn't now the minimum range be from 6-45, which is 39? The question tells us the ranges, it seems to me that everyone just assumes that Anna's lowest score was higher than Beth's and Candi's lowest score and that Anna's highest score is also lower than Beth's and Candi's (so that her scores fall right in the middle of the other two's scores and so on).

Thank you!


Yes, you are right that in this case the range will be 39. But note that we are looking for the minimum possible range. Is it possible to reduce the range? Yes. Try to make it as small as possible. Make Anna's and Beth's lowest scores higher than Candi's lowest score and make their highest scores lower than Candi's highest score. That ways, you can reduce the range of all scores to Candi's range.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 16940 [2], given: 230

Intern
Intern
avatar
B
Joined: 07 May 2017
Posts: 9

Kudos [?]: 0 [0], given: 7

Re: Three people each took 5 tests. If the ranges of their score [#permalink]

Show Tags

New post 08 May 2017, 12:02
Now I see it, this explains it perfectly! Thank you very much!

Kudos [?]: 0 [0], given: 7

Intern
Intern
avatar
B
Joined: 12 Dec 2016
Posts: 6

Kudos [?]: 2 [0], given: 3

Re: Three people each took 5 tests. If the ranges of their score [#permalink]

Show Tags

New post 26 May 2017, 15:46
fameatop wrote:
Hey bunuel,
I am able to get the analogy but I still can't apply that analogy to this case. Kindly explain once more
You said "The main point is that the minimum possible range of the three test-takers can no way be less than the largest range of the three test-takers, which is 35."
If the one of the possible distribution of marks is mentioned below - then the minimum possible range in scores of the three test-takers should be 7-0 = 7.
17 17 17 17 34
7 7 7 7 35
0 0 0 0 35

Thanks in advance


A small note to avoid that common issue is by taking few seconds to think about the question, I had the same misunderstanding at the beginning. By definition range is max - min and not difference between any two numbers in the set. For any range related question, it is better to lay down all numbers in increasing order. So the minimum range we can acquire is if all 3 sets are nested, which results with the biggest range of all three sets = 35.

Kudos [?]: 2 [0], given: 3

Manager
Manager
avatar
B
Joined: 08 Jun 2017
Posts: 69

Kudos [?]: 1 [0], given: 24

Re: Three people each took 5 tests. If the ranges of their score [#permalink]

Show Tags

New post 25 Jul 2017, 09:43
Is the question worded properly?I am not able to understand it

Kudos [?]: 1 [0], given: 24

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7615

Kudos [?]: 16940 [1], given: 230

Location: Pune, India
Re: Three people each took 5 tests. If the ranges of their score [#permalink]

Show Tags

New post 26 Jul 2017, 09:48
1
This post received
KUDOS
Expert's post
Anazeer wrote:
Is the question worded properly?I am not able to understand it


Yes, the wording is fine. "range" for 5 test scores would be (Max score - Min score).

Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 28 and 35, what is the minimum possible range in scores of the three test-takers?

Range for person 1 was 17. So he tool 5 tests and got 5 scores. If Max is his maximum score of the 5 and Min is his minimum score of the 5, Max - Min = 17.
Similarly, for the other two, Max - Min is 28 and 35 respectively.

So now we need the minimum possible range of all scores of all three test takers. So we have 15 test scores and we need the minimum value possible for their range.

Does this help?

I have given the solution here: https://gmatclub.com/forum/three-people ... l#p1212587
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 16940 [1], given: 230

BSchool Forum Moderator
User avatar
P
Joined: 12 Aug 2015
Posts: 2219

Kudos [?]: 806 [0], given: 595

GMAT ToolKit User Premium Member CAT Tests
Re: Three people each took 5 tests. If the ranges of their score [#permalink]

Show Tags

New post 09 Aug 2017, 01:28
Here is what I did on this one ->
Since the range of set three is 35 that means when we combine the test scores => Those two data elements would prevail.
Hence the minimum range would be 35

Hence C.
_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 806 [0], given: 595

Re: Three people each took 5 tests. If the ranges of their score   [#permalink] 09 Aug 2017, 01:28

Go to page   Previous    1   2   [ 28 posts ] 

    Similar topics Author Replies Last post
Similar
Topics:
20 EXPERTS_POSTS_IN_THIS_TOPIC Mary and Joe are to throw three dice each. The score is the neelesh 5 13 Oct 2013, 02:54
1 EXPERTS_POSTS_IN_THIS_TOPIC John got scores of x, x + 3, and x + 5 on his first three tests this Bunuel 1 12 May 2017, 05:17
18 20 students took the test. The arithmetic mean of the scores guerrero25 8 12 Aug 2017, 07:58
23 EXPERTS_POSTS_IN_THIS_TOPIC Three people took GMAT practice tests in which the minimum a flower07 7 08 May 2017, 02:28
10 EXPERTS_POSTS_IN_THIS_TOPIC Three people each took 5 tests. If the ranges of their scores in the 5 anandwillneverdie 4 12 Jan 2016, 04:00
Display posts from previous: Sort by

Three people each took 5 tests. If the ranges of their score

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.