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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Three people took GMAT practice tests in which the minimum and maximum
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27 Nov 2021, 04:32
27 Nov 2021, 04:32
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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
A. 50
B. 70
C. 80
D. 120
E. 130
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Joined: 10 Apr 2015
Posts: 6218
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Re: Three people took GMAT practice tests in which the minimum and maximum
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27 Nov 2021, 06:19
27 Nov 2021, 06:19
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GeminiHeat wrote:
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
A. 50
B. 70
C. 80
D. 120
E. 130
Let's call the students A, B and C
SMALLEST RANGE
The smallest range occurs when there is complete overlap of scores.
For example let's say that:
- Student A's scores range from 500 to 550 (range of 50)
- Student B's scores range from 500 to 580 (range of 80)
- Student C's scores range from 500 to 620 (range of 120)
So, when we combine scores of all three students, the 15 scores range from 500 to 620.
Here, the range = 620 - 500 = 120
GREATEST RANGE
The smallest range occurs when there is zero overlap of scores.
For example let's say that:
- Student A's scores range from 500 to 550 (range of 50)
- Student B's scores range from 550 to 630 (range of 80)
- Student C's scores range from 630 to 750 (range of 120)
So, when we combine scores of all three students, the 15 scores range from 500 to 750.
Here, the range = 750 - 500 = 250
The difference between the maximum and minimum possible ranges = 250 - 120 = 130
Answer: E
Re: Three people took GMAT practice tests in which the minimum and maximum
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09 Aug 2024, 05:43
09 Aug 2024, 05:43
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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).
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Thanks to another GRE Prep 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.
