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If the range of the six measurements 140, 125, 180, 110, 165, and x
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26 Jul 2021, 07:48
26 Jul 2021, 07:48
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If the range of the six measurements 140, 125, 180, 110, 165, and x is 80, which of the following could be the value of x?
(A) 60
(B) 85
(C) 190
(D) 220
(E) 245
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book[/color]
(A) 60
(B) 85
(C) 190
(D) 220
(E) 245
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book[/color]
If the range of the six measurements 140, 125, 180, 110, 165, and x
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26 Jul 2021, 07:56
26 Jul 2021, 07:56
1
Range = Highest term - Lowest term
\(140, 125, 180, 110, 165, x\) - with the range of \(80\)
Arrange all in ascending order : \(110 , 125, 140, 165, 180\) & \(x\)
Now here
if \(x\) is the lowest term
Range \(80 = 180 - x\)
\(x\) = 100
if \(x\) is the highest term
Range \(80 = x - 110\)
\(x\) = 190
Answer C
\(140, 125, 180, 110, 165, x\) - with the range of \(80\)
Arrange all in ascending order : \(110 , 125, 140, 165, 180\) & \(x\)
Now here
if \(x\) is the lowest term
Range \(80 = 180 - x\)
\(x\) = 100
if \(x\) is the highest term
Range \(80 = x - 110\)
\(x\) = 190
Answer C
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Re: If the range of the six measurements 140, 125, 180, 110, 165, and x
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11 Nov 2021, 12:34
11 Nov 2021, 12:34
Carcass wrote:
If the range of the six measurements 140, 125, 180, 110, 165, and x is 80, which of the following could be the value of x?
(A) 60
(B) 85
(C) 190
(D) 220
(E) 245
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book[/color]
(A) 60
(B) 85
(C) 190
(D) 220
(E) 245
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book[/color]
Arrange the five known values in descending order: 110, 125, 140, 165, 180
The range of the five known values = 180 - 110 = 70
To get a range of 80, x can either be 10 less than the smallest number, or 10 greater than the largest number.
For example, if x = 100, then the range = 180 - 100 = 80
Similarly, if x = 190, then the range = 190 - 110 = 80
Answer: C
