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# The range for a list of measurements equals the greatest measurement

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Intern
Joined: 19 Dec 2015
Posts: 28
The range for a list of measurements equals the greatest measurement  [#permalink]

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06 May 2016, 09:08
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15% (low)

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81% (01:24) correct 19% (01:23) wrong based on 242 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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Joined: 13 Apr 2016
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GMAT 1: 640 Q50 V27
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Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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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.
Intern
Joined: 27 Jul 2018
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Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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28 Aug 2018, 03:14
2
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

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

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08 Sep 2018, 08:09
1
1
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.
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Joined: 18 Dec 2018
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Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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18 Dec 2018, 22:19
Lets say, the least number from the 2 lists is x. Then the biggest number from 2 lists will be (x + 25).
Statement 1: We cannot find the biggest and the smallest measurement in X from the given information. So, we cannot find the range of X. Hence, Insufficient.
Statement 2: No of measurements in list X doesn’t alone provide us with the range of X. Hence, Insufficient.
Statement 1 & 2 together: Information given in both the statement doesn’t help us in finding the range of X unless we are given that the smallest and the largest number of both the lists lie in X. Hence, Insufficient.
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Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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12 Jan 2019, 22:30
Let’s say, the least number from the 2 lists is x. Then the biggest number from 2 lists will be (x + 25).
Statement 1: We cannot find the biggest and the smallest measurement in X from the given information. So, we cannot find the range of X. Hence, Insufficient.
Statement 2: No of measurements in list X doesn’t alone provide us with the range of X. Hence, Insufficient.
Statement 1 & 2 together: Information given in both the statement doesn’t help us in finding the range of X unless we are given that the smallest and the largest number of both the lists lie in X. Hence, Insufficient.
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The range for a list of measurements equals the greatest measurement  [#permalink]

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30 Jan 2019, 06:15
Hi Sallyzodiac,

I feel like I am going crazy trying to solve this easy problem but am getting stuck. Could someone provide a detailed step by step method for solving this? Thank you so much!

Sallyzodiac wrote:
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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Location: Tajikistan
Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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27 May 2019, 07:00
Dear Bunuel,

Could you please shed some light here
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Re: The range for a list of measurements equals the greatest measurement  [#permalink]

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03 Aug 2019, 12:54
Sallyzodiac wrote:
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.

To get the range of the list X , we need the maximum value and the minimum value in the list.

From statement 1 , we know the range of 12 measurements in list Y . So , if the first measurement is 100 then the last measurement is 120. But we dont know anything about the maximum or the minimum value in the list Y.

From statement 2 also , we don't know anything about the maximum or the minimum value in the list X.

Taking both together , we still don't know anything about the maximum or the minimum value of the list X.

Re: The range for a list of measurements equals the greatest measurement   [#permalink] 03 Aug 2019, 12:54
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