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The range for a list of measurements equals the greatest measurement

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Intern
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The range for a list of measurements equals the greatest measurement  [#permalink]

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New post 06 May 2016, 09:08
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E

Difficulty:

  15% (low)

Question Stats:

82% (00:45) correct 18% (00:53) wrong based on 226 sessions

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The range for a list of measurements equals the greatest measurement minus the least measurement. The two lists of measurements, \(X\) and \(Y\), combined consist of 30 measurements with a range of 25. What is the range for the measurements in list \(X\)?

1) The range for the 12 measurements in list \(Y\) is 20.

2) List \(X\) consists of 18 measurements.
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Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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New post 06 May 2016, 09:35
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[quote="Sallyzodiac"]The range for a list of measurements equals the greatest measurement minus the least measurement. The two lists of measurements, \(X\) and \(Y\), combined consist of 30 measurements with a range of 25. What is the range for the measurements in list \(X\)?

1) The range for the 12 measurements in list Y is 20.

2) List X consists of 18 measurements.

answer to this question is E as both statements are not sufficient to tell you the answer

statement 1 tells that The range for the 12 measurements in list Y is 20 but that tell cannot tell you the range of x
take lowest number in list y= 1 and highest 21 and take all the nos in list x as 26. That will give you range of x =0
take lowest number in list y 1 and highest 21 and take lowest number in list x= 22 and highest =26 .That will give you range of x =4
two different answers so the statement is not sufficient.

statement tells only about the nos in list x but no additional information so not sufficient.

by combining both statements we are not able to get any answer.
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Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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New post 28 Aug 2018, 03:14
So we are given 2 lists, X and Y and we are given that the
1. the total number of measurements is 30. X(n) + Y(n) = 30.
2. Largest measurement - Smallest Measurement = 25

But we are not told the number of measurements in either X or Y. We also don't know whether the largest of smallest measurement of the combined range belongs to X or Y.

We need to find the largest measurement of X and the smallest measurement of X for our answer.

1) 1) The range for the 12 measurements in list Y is 20.
Okay so we know that Y has 12 measurements, therefore X has 18. And we know the Y(largest)-Y(smallest) = 20 INSUFFICIENT

2) List X consists of 18 measurements.
We are told the X consists of 18 elements. We already figured this out in Statement 1 as well. It again does not tell us anything further. INSUFFICIENT

Answer is E
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Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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New post 08 Sep 2018, 08:09
Quote:
The range for a list of measurements equals the greatest measurement minus the least measurement. The two lists of measurements, X and Y, combined consist of 30 measurements with a range of 25. What is the range for the measurements in list X?

1) The range for the 12 measurements in list Y is 20.

2) List X consists of 18 measurements.


Here There are 30 measurements in x and y.
Range of 30 measurements is 25.
Range of x=?
First of all we need to know the elements that are present in x.

Statement 1:
From 1 we got to know that y has 12 measurements and x has 18.
Now Y has range 20:
we don't know what are the elements that make the range 25 overall and we don't even know the elements in x to find the range of x.

Statement 2:
Same problem as A in statement 2.we don't know the elements.

From 1+2.
we don't know any extra information.
So, the Answer is E
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Re: The range for a list of measurements equals the greatest measurement &nbs [#permalink] 08 Sep 2018, 08:09
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