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GMAT Diagnostic Test Question 20 [#permalink]
 06 Jun 2009, 22:59
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GMAT Diagnostic Test Question 20Field: word problems (min/max) Difficulty: 700
Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 5 times, and no one scored below 500 or over 750. If the individual ranges of the three people's scores in those 5 practice tests were 50, 80 and 120, what is the difference between the maximum and minimum possible ranges of all their scores put together. A. 50 B. 70 C. 80 D. 120 E. 130
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Re: GMAT Diagnostic Test Question 20 [#permalink]
08 Jul 2009, 06:56
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Explanation:
Official Answer: EMinimum possible range = 120. Maximum possible range = 250 (suppose one test taker has a minimum score of 500 and one of the other two test takers has a maximum score of 750). Difference = 250 - 120 = 130.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
28 Jul 2009, 11:34
dzyubam wrote: Explanation:
Official Answer: CIf we have to find the minimum range, then we have to keep in mind the most favourable outcome. Let's assume that the first test-taker scored in the range between 10 and 27, the second one in the range between 10 and 38 and the third one between 10 and 45. Now it's clear that the minimum possible range of the scores of all three test-takers is 35. Hi I am not getting your approach, could oyu please explain this a bit more. your help is much appreciated
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Re: GMAT Diagnostic Test Question 20 [#permalink]
28 Jul 2009, 23:17
Imagine a counter example. The first test taker scored in the range 0-17, the second on in 20-48 and the third one in 65-100. Now the range of scores of all test takers equals the highest score of any of the three test takers minus the lowest score of any of the three test takers: 100 - 0 =100 The possible outcome described in the OE above has the range of only 35, which is the minimum range possible. Is it clear now? Hope this helped.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
26 Nov 2009, 00:36
Hello,
I am a bit confused first by the question itself. It might be because I'm not a native english speaker...sorry about that.
Three people each took 5 tests.
That's ok!
If the ranges of their scores
The minmax of their score, right ?
in the 5 practice tests
That's ok!
were 17, 28 and 35,
heu...
what is the minimum possible range in scores of the three test-takers?
Tilt...
You are asking me the min score ? ....
Tilt
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Re: GMAT Diagnostic Test Question 20 [#permalink]
26 Nov 2009, 03:14
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Hi, Please see my comments in green below. I hope this helps. marcos4 wrote: Hello,
I am a bit confused first by the question itself. It might be because I'm not a native english speaker...sorry about that.
Three people each took 5 tests.
That's ok!
If the ranges of their scores
The minmax of their score, right ?
The range here is found by subtracting the lowest test score from the highest test score.
in the 5 practice tests
That's ok!
were 17, 28 and 35,
heu...
This means that "the highest score" - "the lowest score" of the first test taker was 17, for the second the same value equals 28 and for the third it is 35.
what is the minimum possible range in scores of the three test-takers?
Tilt...
Now, this one asks for "the highest score of any of the three test takers" - "the lowest score of any of the three test takers". This means that we consider all scores of all three test takers as a single pool from which we pick the highest and the lowest scores.
You are asking me the min score ? ....
Tilt
No, the question is asking for a minimum range that the scores of 3 test takers can have.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
18 Dec 2009, 02:37
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After careful thinking I decided that this can be solved more easily if we take their ranges for the highest scores: First: highest score is 17, then lowest score should be 0. Second: highest 28, lowest 0. Third: highest 35, lowest 0. Therefore, it's much easier now to calculate the min range: 35-0=35 (the highest minus the lowest)), which is the correct answer. 
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Re: GMAT Diagnostic Test Question 20 [#permalink]
19 Dec 2009, 15:08
Igor010 wrote: After careful thinking I decided that this can be solved more easily if we take their ranges for the highest scores: First: highest score is 17, then lowest score should be 0. Second: highest 28, lowest 0. Third: highest 35, lowest 0. Therefore, it's much easier now to calculate the min range: 35-0=35 (the highest minus the lowest)), which is the correct answer. That's right. your explanation is much better. I understand this question now.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
21 Dec 2009, 07:22
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Re: GMAT Diagnostic Test Question 20 [#permalink]
23 Feb 2010, 02:19
Hi, I am still not sure about the answer to this question. If one takes 20-37(the range is 17) ...72-100(then range is 28) and 65-100(then range is 35)..and in this case the minimum comes out to be 100 minus 20 which 80...Can any one provide an explanation.. Thanks
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Re: GMAT Diagnostic Test Question 20 [#permalink]
23 Feb 2010, 02:20
Hi,
I am not satisfied by the explanation given above.
Suppose: the paper comprised of 200 marks !
For the test taker A: lowest score 0
highest score 17
Range : 17
For test taker B: Lowest score 72
highest score 100
Range : 28
For the test taker C: Lowest score 165
highest score 200
Range : 35
Though it is not given in the answer options but is there have any other reason for this explanation for not having minimum range 200 !!??
I guess, without a static value we can easily adjust the range to any number.
Kindly explain. I am all lost in this question..
Regards
Anks
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Re: GMAT Diagnostic Test Question 20 [#permalink]
23 Feb 2010, 06:02
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anksdesire wrote: Hi,
I am not satisfied by the explanation given above.
Suppose: the paper comprised of 200 marks !
For the test taker A: lowest score 0
highest score 17
Range : 17
For test taker B: Lowest score 72
highest score 100
Range : 28
For the test taker C: Lowest score 165
highest score 200
Range : 35
Though it is not given in the answer options but is there have any other reason for this explanation for not having minimum range 200 !!??
I guess, without a static value we can easily adjust the range to any number.
Kindly explain. I am all lost in this question..
Regards
Anks Hey Anks! You can take any range. The scores can be 1000 or even more. Here we're asked to find MINIMUM POSSIBLE RANGE, not maximum! In your example the range is 200. Try to find such scores as to make MINIMUM range less then 35. Good luck.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
02 Apr 2010, 13:30
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bb wrote: GMAT Diagnostic Test Question 20Field: word problems (min/max) Difficulty: 700
Three people each took 5 GMAT practice tests in which the maximum and minimum scores are 200 and 600 respectively and none scored below 500 and over 750. If the ranges of their scores in those 5 practice tests were 50, 80 and 120, respectively, what is the difference between the possible maximum and minimum ranges of their scores. A. 50 B. 70 C. 80 D. 120 E. 130 Please assist: (1) Is it "max and min score are 200 and 600" or "min and max scores are 200 and 600?" (2) if really max score is 600 can anyone score 750? Am confused at the wording of the question.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
05 Apr 2010, 03:24
Hi, I've corrected the typo. Please see the question in the first post. Thanks for pointing out the problem! +1.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
13 Apr 2010, 05:30
dzyubam wrote: Hi,
I've corrected the typo. Please see the question in the first post. Thanks for pointing out the problem! +1. Thanks for the update, and of course, the kudos - my very first. Do you mind explaining how the minimum range is arrived at. Maximum range, i know, is 750 - 500 = 250 minimum range = x - y ?? The possible pool of scores: 500 to 550 ...say for first person 500 - 580 / 670 - 750 ...for second person 630 - 750 ...for third person How do we get the minimum score range?
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Re: GMAT Diagnostic Test Question 20 [#permalink]
13 Apr 2010, 10:12
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Re: GMAT Diagnostic Test Question 20 [#permalink]
30 Apr 2010, 12:41
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This is a badly-worded question. bb wrote: GMAT Diagnostic Test Question 20
Three people each took 5 GMAT practice tests in which the minimum and maximum scores are 200 and 800, respectively, and none scored below 500 and over 750. If the ranges of their scores in those 5 practice tests were 50, 80 and 120, respectively, what is the difference between the possible maximum and minimum ranges of their scores.
A. 50
B. 70
C. 80
D. 120
E. 130 Writing this question should follow the grammar rules of the Verbal section of the GMAT 1) "which the minimum and maximum scores are 200 and 800, respectively". This is ambiguous as it could mean that 200-800 is the range of the 3 people's actual scores, and not what the tests allow. 2) "none" should be "no one" 3) "If the ranges of their scores" violates grammar rules. What is the antecedent of "their"? 4) "50, 80 and 120, respectively". "respectively" to what or whom? That sentence doesn't mention 3 people. 5) "ranges" should be "individual ranges" to make clear that each individual has his or her own range 6) "possible" should come after "maximum and minimum" 7) "of their scores" should be "of all their scores put together" to make it clear what you're talking about. The GMAT would never be this unclear. Here's how I would write the question: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 5 times, and no one scored below 500 or over 750. If the individual ranges of the three people's scores in those 5 practice tests were 50, 80 and 120, what is the difference between the maximum and minimum possible ranges of all their scores put together.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
11 May 2010, 09:29
dzyubam wrote: Explanation:
Official Answer: EMinimum possible range = 120. Maximum possible range = 250 (suppose one test taker has a minimum score of 500 and one of the other two test takers has a maximum score of 750). Difference = 250 - 120 = 130. Could you pls kindly explain more how we get Minimum possible range = 120? Thank you.
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Re: GMAT Diagnostic Test Question 20 [#permalink]
13 May 2010, 07:30
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Yeh, it's tricky to see why min is 120. It's because the question asks for the RANGE. So the RANGE is from potentally 500 to the max 620 in the SMALLER set of scores.
If you write it out, maybe it becomes clearer:
Taker No Range Score Group 1 Score Group 2
1 50 500 - 550 700 - 750
2 80 500 - 580 670 - 750
3 120 500 - 620 630 - 750
So sorry this ends up looking so messy!
Marina
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Re: GMAT Diagnostic Test Question 20 [#permalink]
03 Sep 2010, 20:49
mns18051985 wrote: Taker No Range Score Group 1 Score Group 2
1 50 500 - 550 700 - 750
2 80 500 - 580 670 - 750
3 120 500 - 620 630 - 750
So sorry this ends up looking so messy!
Marina yes is also how i thought means 1 would have been 500, greatest 550 2.... 3 smallest 630 ....largest 750.... so if taken all together it should be 750-500=250 what is problem in that thinking?
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Re: GMAT Diagnostic Test Question 20
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03 Sep 2010, 20:49
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