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


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

Option E is the answer.

PLease give me KUDO s if you liked my answer.
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Re: The range for a list of measurements equals the greatest measurement [#permalink]
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Dear Bunuel ,

Please tag this question --- GMATPREP EP6


Best !!
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Re: The range for a list of measurements equals the greatest measurement [#permalink]
Expert Reply
ShankSouljaBoi wrote:
Dear Bunuel ,

Please tag this question --- GMATPREP EP6


Best !!



________________
Done. Thank you!
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Re: The range for a list of measurements equals the greatest measurement [#permalink]
say, max and min of X:
Xmin, Xmax

say, max and min of Y:
Ymin, Ymax

Question gives, Ymax - Xmin = 25.
Question is asking, Xmax - Xmin = ?

(1) The range for the 12 measurements in list Y is 20.
First of all, this does not say that the number of measurements of Y is 12. Y can have 15 measurements, but range of 12 of them can be 20.
Even if you suppose that the number of measurements of Y is 12, this gives you:
Ymax - Ymin = 20
NOT SUFF.

(2) List X consists of 18 measurements.
does not add much to find out Xmax, Xmin.
NOT SUFF.

(1) + (2)
Now we are sure that the number of elements of Y is 12, and that of X is 18.
we can now say Ymax - Ymin = 20.
However, not possible to find out Xmax - Xmin.
For example,
Keep in mind that Ymax - Xmin = 25.
- Ymax = 30, Ymin=10, Xmin=5. We dont know Xmax (can be 10 or 15 or something).
NOT SUFF.
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Re: The range for a list of measurements equals the greatest measurement [#permalink]
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Re: The range for a list of measurements equals the greatest measurement [#permalink]
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