GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 05 Aug 2020, 23:33

### 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

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

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

Author Message
TAGS:

### Hide Tags

Manager
Status: Retaking next month
Affiliations: None
Joined: 05 Mar 2011
Posts: 113
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 570 Q42 V27
GPA: 3.01
WE: Sales (Manufacturing)
Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

22 Feb 2012, 00:30
8
1
160
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:33) correct 37% (01:54) wrong based on 977 sessions

### HideShow timer Statistics

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?

A. 17
B. 28
C. 35
D. 45
E. 80

Min possible range. That means the lowest possible difference in total 15 values.

0 0 0 0 17
0 0 0 0 28
0 0 0 0 35

Minimum possible range is 35. Oh got the trick.

But my question is If I am thrown a question like this in the test I might panic & try many different kind of values. Is there a particular strategy or pattern for this type of questions.
Math Expert
Joined: 02 Sep 2009
Posts: 65809
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

22 Feb 2012, 00:49
12
26
GMATPASSION wrote:
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?

A. 17
B. 28
C. 35
D. 45
E. 80

Min possible range. That means the lowest possible difference in total 15 values.

0 0 0 0 17
0 0 0 0 28
0 0 0 0 35

Minimum possible range is 35. Oh got the trick.

But my question is If I am thrown a question like this in the test I might panic & try many different kind of values. Is there a particular strategy or pattern for this type of questions.

Try to look at it as overlapping sets problem:
# of people in group A is 17;
# of people in group B is 28;
# of people in group C is 35;

What is the minimum # of total people possible in all 3 groups? Clearly if two smaller groups A and B are subsets of bigger group C (so if all people who are in A are also in C and all people who are in B are also in C), then total # of people in all 3 groups will be 35. Minimum # of total people can not possibly be less than 35 since there are already 35 people in group C.

Hope it's clear.

P.S. Notice that max range for the original question is not limited when the max # of people in all 3 groups for revised question is 17+28+35 (in case there is 0 overlap between the 3 groups).
_________________
Manager
Joined: 12 Jan 2013
Posts: 56
Location: United States (NY)
GMAT 1: 780 Q51 V47
GPA: 3.89
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

12 Jan 2013, 22:14
6
This problem took me 27 seconds, according to the timer. I took note of my own thinking while I was solving this problem.

I visualized three intervals of length 17, 28, and 35, respectively. Then I felt, intuitively, that the intervals were independent, so I visualized the smaller intervals as covered by the larger one. So I felt that the answer should be the greatest of the numbers. I looked at the numbers again and chose 35. Then I spent a few seconds making sure that I was answering the right question since it seemed too easy.

On an actual exam I would've double-checked myself by coming up with an actual example of fifteen scores, as explained above - provided, of course, that I had enough time.
_________________
Sergey Orshanskiy, Ph.D.
I tutor in NYC: http://www.wyzant.com/Tutors/NY/New-York/7948121/#ref=1RKFOZ
##### General Discussion
Manager
Joined: 10 Jan 2010
Posts: 131
Location: Germany
Concentration: Strategy, General Management
Schools: IE '15 (M)
GPA: 3
WE: Consulting (Telecommunications)
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

22 Feb 2012, 03:06
1
Just to clarify the approach here.

It may look like this and would be correct, or?

17 17 17 17 34
7 7 7 7 35
0 0 0 0 35

Would be the same minimum range?!?
Math Expert
Joined: 02 Sep 2009
Posts: 65809
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

22 Feb 2012, 03:15
MSoS wrote:
Just to clarify the approach here.

It may look like this and would be correct, or?

17 17 17 17 34
7 7 7 7 35
0 0 0 0 35

Would be the same minimum range?!?

Yes. 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.
_________________
Senior Manager
Joined: 24 Aug 2009
Posts: 427
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

21 Aug 2012, 11:16
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

Math Expert
Joined: 02 Sep 2009
Posts: 65809
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

22 Aug 2012, 00:27
23
12
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

{17, 17, 17, 17, 34} --> range=17;
{7, 7, 7, 7, 35} --> range=28;
{0, 0, 0, 0, 35} --> range=35.

All 15 scores: {0, 0, 0, 0, 7, 7, 7, 7, 17, 17, 17, 17, 34, 35, 35} --> range=35-0=35, not 7.

Hope it's clear.
_________________
Intern
Joined: 07 Feb 2012
Posts: 14
Concentration: Strategy
GMAT 1: 720 Q48 V41
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

23 Aug 2012, 18:12
Bunuel wrote:
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

{17, 17, 17, 17, 34} --> range=17;
{7, 7, 7, 7, 35} --> range=28;
{0, 0, 0, 0, 35} --> range=35.

All 15 scores: {0, 0, 0, 0, 7, 7, 7, 7, 17, 17, 17, 17, 34, 35, 35} --> range=35-0=35, not 7.

Hope it's clear.

Hi Bunuel,

Could you explain the similarity b/w this problem and an overlapping set one? I'm not quite sure I understood that correctly..

Thanks
Senior Manager
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 385
Location: United States (NY)
GPA: 3.82
WE: Account Management (Retail Banking)
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

25 Aug 2012, 12:40
2
1
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?

A. 17
B. 28
C. 35
D. 45
E. 80

Min possible range. That means the lowest possible difference in total 15 values.

0 0 0 0 17
0 0 0 0 28
0 0 0 0 35

Minimum possible range is 35.

Range = Max-Min
=35-0
=35 ?

Am i right?
Manager
Joined: 28 Feb 2012
Posts: 103
GPA: 3.9
WE: Marketing (Other)
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

28 Aug 2012, 00:02
Bunuel wrote:
MSoS wrote:
Just to clarify the approach here.

It may look like this and would be correct, or?

17 17 17 17 34
7 7 7 7 35
0 0 0 0 35

Would be the same minimum range?!?

Yes. 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.

Once again i am assured that quants in GMAT is not about pure math is more about logical thinking. In this particular question i would think about different formulas that could be used, start picking numbers and find different senarios and eventually come up to corrent answer (in best case) or lose 1-2 min and then try to guess (because of time pressure during the test it is difficult stay calm after solving a question for 2 min and coming up with answer which is not in the answer choice).
Bunuel, thank you for such simple explanation. I need to learn to think about the problem for a while first before jumping to solving.
Manager
Joined: 13 Feb 2012
Posts: 126
Location: Italy
Concentration: General Management, Entrepreneurship
GMAT 1: 560 Q36 V34
GPA: 3.1
WE: Sales (Transportation)
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

12 Jan 2013, 06:11
1
1
ziko wrote:
Bunuel wrote:
MSoS wrote:
Just to clarify the approach here.

It may look like this and would be correct, or?

17 17 17 17 34
7 7 7 7 35
0 0 0 0 35

Would be the same minimum range?!?

Yes. 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.

Once again i am assured that quants in GMAT is not about pure math is more about logical thinking. In this particular question i would think about different formulas that could be used, start picking numbers and find different senarios and eventually come up to corrent answer (in best case) or lose 1-2 min and then try to guess (because of time pressure during the test it is difficult stay calm after solving a question for 2 min and coming up with answer which is not in the answer choice).
Bunuel, thank you for such simple explanation. I need to learn to think about the problem for a while first before jumping to solving.

Yes, there actually was no math to be applied here, except the concept of "range". The easiest way is simply to figure out how low could the lowest score among the 15 have been, and how high the highest one might have been.

Result is 35(max) - 0(min) = 35, answer C.

Thanks to anyone who clarified this problem.
Director
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 991
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

15 Apr 2013, 11:37
1
bugzor wrote:
What would the answer be if it asked for maximum possible range?

It would be impossible to say.
Example: test 1 range 20, test 2 range 50, test 3 range 70.
The test could be on a 100 points range, or on a 1000 points range, and so on...

Let me know if you have doubts...
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10790
Location: Pune, India
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

15 Apr 2013, 23:14
29
8
GMATPASSION wrote:
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?

A. 17
B. 28
C. 35
D. 45
E. 80

Another approach is to think of range questions on the number line.

5 numbers have range of 17 means the smallest number and the largest number have a diff of 17 between them. Place them like this on the number line

..................................S1..........(17).............L1..............

5 numbers have range of 28 means the smallest number and the largest number have a diff of 28 between them. Place them like this on the number line

..........................S2...............(28)........................L2..............

5 numbers have range of 35 means the smallest number and the largest number have a diff of 35 between them. Place them like this on the number line

....................S3..................................(35).............................L3..............

The minimum range will be when S1 and L1 and S2 and L2 lie in between S3 and L3. The range of 35 will stay no matter what.

...................S3.......S2.....S1..............................L1......L2.......L3..............

The maximum range, on the other hand, depends on the total range the scores can have. If the score is out of 100, the maximum range will be 100, if they are out of 1000, the maximum range is 1000 and so on.

For example: S1 may lie at 0 and L3 may lie at 100 etc

(0)S1...........................L1..........S2....................................L2..................................S3.......................................................L3(100)
_________________
Karishma
Veritas Prep GMAT Instructor

Manager
Status: Do till 740 :)
Joined: 13 Jun 2011
Posts: 77
Concentration: Strategy, General Management
GMAT 1: 460 Q35 V20
GPA: 3.6
WE: Consulting (Computer Software)
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

16 Oct 2013, 19:36
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
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10790
Location: Pune, India
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

16 Oct 2013, 19:55
13
11
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.
_________________
Karishma
Veritas Prep GMAT Instructor

Intern
Status: Going the extra mile
Joined: 08 Feb 2014
Posts: 14
Location: Netherlands
GMAT 1: 470 Q37 V18
GMAT 2: 570 Q36 V32
GMAT 3: 560 Q37 V30
GMAT 4: 610 Q41 V34
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

27 Apr 2014, 07:18
I simply looked at the 3 different possible scores for each individual test: 17,35,28

We have to find the minimum range:
35-17=8
35-28=7
28-17=11

The find the minimum range, you have to make the set of the 5 scores as small as possible.
Which means that 4 of the 5 scores of each individual person is zero.

7*5 = 35.

_________________
Structural persistence is the key to succes .
Party hard, study harder.

Still bashing, will continue to do so , although it's important to chill aswell ; )
STUDY+CHILL=VICTORY
Manager
Joined: 08 Sep 2010
Posts: 53
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

01 May 2014, 20:38
Bunuel wrote:
GMATPASSION wrote:
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?

A. 17
B. 28
C. 35
D. 45
E. 80

Min possible range. That means the lowest possible difference in total 15 values.

0 0 0 0 17
0 0 0 0 28
0 0 0 0 35

Minimum possible range is 35. Oh got the trick.

But my question is If I am thrown a question like this in the test I might panic & try many different kind of values. Is there a particular strategy or pattern for this type of questions.

Try to look at it as overlapping sets problem:
# of people in group A is 17;
# of people in group B is 28;
# of people in group C is 35;

What is the minimum # of total people possible in all 3 groups? Clearly if two smaller groups A and B are subsets of bigger group C (so if all people who are in A are also in C and all people who are in B are also in C), then total # of people in all 3 groups will be 35. Minimum # of total people can not possibly be less than 35 since there are already 35 people in group C.

Hope it's clear.

P.S. Notice that max range for the original question is not limited when the max # of people in all 3 groups for revised question is 17+28+35 (in case there is 0 overlap between the 3 groups).

Hi Bunuel - Great explanation. Do we have similar kind of questions for practice?
Math Expert
Joined: 02 Sep 2009
Posts: 65809
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

02 May 2014, 00:56
chanakya84 wrote:
Bunuel wrote:
GMATPASSION wrote:
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?

A. 17
B. 28
C. 35
D. 45
E. 80

Min possible range. That means the lowest possible difference in total 15 values.

0 0 0 0 17
0 0 0 0 28
0 0 0 0 35

Minimum possible range is 35. Oh got the trick.

But my question is If I am thrown a question like this in the test I might panic & try many different kind of values. Is there a particular strategy or pattern for this type of questions.

Try to look at it as overlapping sets problem:
# of people in group A is 17;
# of people in group B is 28;
# of people in group C is 35;

What is the minimum # of total people possible in all 3 groups? Clearly if two smaller groups A and B are subsets of bigger group C (so if all people who are in A are also in C and all people who are in B are also in C), then total # of people in all 3 groups will be 35. Minimum # of total people can not possibly be less than 35 since there are already 35 people in group C.

Hope it's clear.

P.S. Notice that max range for the original question is not limited when the max # of people in all 3 groups for revised question is 17+28+35 (in case there is 0 overlap between the 3 groups).

Hi Bunuel - Great explanation. Do we have similar kind of questions for practice?

Yes, check all min/max questions here: search.php?search_id=tag&tag_id=63

Hope it helps.
_________________
Intern
Joined: 07 May 2017
Posts: 5
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

07 May 2017, 06:13
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!
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10790
Location: Pune, India
Re: Three people each took 5 tests. If the ranges of their score  [#permalink]

### Show Tags

08 May 2017, 06:43
2
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

Re: Three people each took 5 tests. If the ranges of their score   [#permalink] 08 May 2017, 06:43

Go to page    1   2    Next  [ 30 posts ]