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Re: Three people each took 5 tests. If the ranges of their score
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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 testtakers can no way be less than the largest range of the three testtakers, 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 testtakers should be 70 = 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.



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Re: Three people each took 5 tests. If the ranges of their score
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25 Jul 2017, 09:43
Is the question worded properly?I am not able to understand it



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Re: Three people each took 5 tests. If the ranges of their score
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26 Jul 2017, 09:48
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 testtakers? 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/threepeople ... l#p1212587
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Re: Three people each took 5 tests. If the ranges of their score
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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.
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Re: Three people each took 5 tests. If the ranges of their score
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04 Jan 2018, 07:22
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 testtakers?
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. Answer: 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). Sorry Bunuel but I am still not convinced by this explanation..... for example if you have the following votes: 1 1 1 1 18 1 1 1 1 29 4 4 4 4 39 You would have range 35 for third group, but the range of all three groups would be 391= 38 > 35 ? what am I missing? Thanks



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Re: Three people each took 5 tests. If the ranges of their score
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04 Jan 2018, 07:40
teone83 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 testtakers?
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. Answer: 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). Sorry Bunuel but I am still not convinced by this explanation..... for example if you have the following votes: 1 1 1 1 18 1 1 1 1 29 4 4 4 4 39 You would have range 35 for third group, but the range of all three groups would be 391= 38 > 35 ? what am I missing? Thanks The question asks: what is the MINIMUM possible range in scores of the three testtakers? The range could be 38, or 56, or 119 (or any other number for certain conditions)... but it CANNOT be less than 35, so the MINIMUM possible range is 35.
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Re: Three people each took 5 tests. If the ranges of their score
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04 Oct 2018, 12:14
lets name three sets as A, B and C and assume some minimum and maximum values for range which satisfies the individual ranges. A={1,1,1,1,18} => Range 17 B = {1,1,1,1,29} => Range 29 C={1,1,1,1,36} => Range 35
If we combine all three lists and arrange in order, we get the minimum possible value of range as 361 = 35. Another possibility would be that instead of 1 the minimum value could be zero, in that case the range would be 360=36 but its not an answer choice.



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Re: Three people each took 5 tests. If the ranges of their score
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13 Apr 2019, 15:11
Both Bunuel and Karishma have already explained almost everything there is to explain about this question. I will add my $0.02 to this thread
Assume 3 people are A, B and C. Here is what they did on 5 tests (Call me a pessimist that I took the worst case scenarios)
A: 0, 0, 0, 0, 17 > Range is 170 = 17 B: 0, 0, 0, 0, 28 > Range is 280 = 28 C: 0, 0, 0, 0, 35 > Range is 350 = 35
What is the range of all the scores that these 3 people achieve in 5 exams: The largest score is 35 and the smallest is 0. So the range is 350 = 35.



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Re: Three people each took 5 tests. If the ranges of their score
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20 Jun 2019, 23:39
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 testtakers?
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. Answer: 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). The question says about RANGE. Why are we finding our TOTAL NUMBER?




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