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Joined: 20 Feb 2017
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Set R contains five numbers that have an average value of 55. If the m
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26 Mar 2021, 05:30
26 Mar 2021, 05:30
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Set R contains five numbers that have an average value of 55. If the median of the set is equal to the mean, and the largest number in the set is equal to 20 more than three times the smallest number, what is the largest possible range for the numbers in the set?
A. 78
B. 77 1/5
C. 66 1/7
D. 55 1/7
E. 52
A. 78
B. 77 1/5
C. 66 1/7
D. 55 1/7
E. 52
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Re: Set R contains five numbers that have an average value of 55. If the m
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26 Mar 2021, 08:06
26 Mar 2021, 08:06
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GeminiHeat wrote:
Set R contains five numbers that have an average value of 55. If the median of the set is equal to the mean, and the largest number in the set is equal to 20 more than three times the smallest number, what is the largest possible range for the numbers in the set?
A. 78
B. 77 1/5
C. 66 1/7
D. 55 1/7
E. 52
A. 78
B. 77 1/5
C. 66 1/7
D. 55 1/7
E. 52
Let the number be \(a, b, c, d\) and \(e\)
\(a + b + c + d + e = (55)(5) = 275\)
We have been given, \(c = 55\) and \(e = 3a + 20\)
\(a + b + 55 + d + 3a + 20 = 275\)
Range = \(3a + 20 - a = 2a + 20\)
Now, If the Range has to be Maximum, \(a\) must be maximum
Therefore, \(d\) must be 55 and \(b\) must be equal to \(a\)
\(a + a + 55 + 55 + 3a + 20 = 275\)
\(5a + 130 = 275\)
\(a = 29\)
So, the Range = \(2(29) + 20 = 78\)
Hence, option A
Re: Set R contains five numbers that have an average value of 55. If the m
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09 Nov 2024, 11:41
09 Nov 2024, 11:41
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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).
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