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30 Jun 2014, 19:13
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Difficulty:
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Question Stats:
58% (02:06) correct
42%
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Is the statistical function the Range on the integers 5, 7, x, 6, y, and 9 greater than 5?
(1) x = 3y
(2) x < 2y
(1) x = 3y
(2) x < 2y
30 Jun 2014, 20:09
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Is the statistical function the Range on the integers 5, 7, x, 6, y, and 9 greater than 5?
The range is the difference between the smallest and largest elements of a set.
The question asks whether the range of {5, 6, 7, 9, x, y} is greater than 5. The range of the set will be less than or equal to 5 in two cases:
If both x and y lie between 5 and 10, inclusive --> in this case the range is 4 or 5.
If both x and y lie between 4 and 9, inclusive --> in this case the range is 4 or 5.
For all other cases the range will be greater than 5.
(1) x = 3y.
Could both y and 3y be between 5 and 10 or between 4 and 9? No.
If y is between 5 and 10, then 3y will be between 15 and 30. So, both of them cannot be between 5 and 10.
If y is between 4 and 9, then 3y will be between 12 and 27. So, both of them cannot be between 4 and 9.
Therefore the range must be greater than 5. Sufficient.
(2) x < 2y. Clearly insufficient. For example, if x=5 and y=6, the range is less than 5 but if x=0 and y=1, then the range is greater than 5. Not sufficient.
Answer: A.
P.S. The wording of the question is awkward for the GMAT.
The range is the difference between the smallest and largest elements of a set.
The question asks whether the range of {5, 6, 7, 9, x, y} is greater than 5. The range of the set will be less than or equal to 5 in two cases:
If both x and y lie between 5 and 10, inclusive --> in this case the range is 4 or 5.
If both x and y lie between 4 and 9, inclusive --> in this case the range is 4 or 5.
For all other cases the range will be greater than 5.
(1) x = 3y.
Could both y and 3y be between 5 and 10 or between 4 and 9? No.
If y is between 5 and 10, then 3y will be between 15 and 30. So, both of them cannot be between 5 and 10.
If y is between 4 and 9, then 3y will be between 12 and 27. So, both of them cannot be between 4 and 9.
Therefore the range must be greater than 5. Sufficient.
(2) x < 2y. Clearly insufficient. For example, if x=5 and y=6, the range is less than 5 but if x=0 and y=1, then the range is greater than 5. Not sufficient.
Answer: A.
P.S. The wording of the question is awkward for the GMAT.
01 Jul 2014, 00:54
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smartyman
The question means to say this: Is the range of 5, 6, 7, x, y and 9 greater than 5?
Range is defined as Largest number - Smallest number. We don't know the largest and the smallest numbers in this list because we don't know x and y.
What we do know is that we have a 5 and a 9.
For the range to be 5 or less, x and y can be at most 10 and should not be less than 5 such that the range will be 10 - 5 = 5. If either one of them is more than 10, say 12, the range will be 12 - 5 = 7 (more than 5)
Or x and y should not be less than 4 and should not be more than 9 so that the range will be 9 - 4 = 5. If either one of them is less than 4, say 0, the range will be 9 - 0 = 9 (more than 5)
(1) x = 3y
Even if y takes the minimum value of 4 which is needed to keep the range 5 or less, x will be 12. Hence the range will be more than 5. This is sufficient to say that range MUST be more than 5.
(2) x < 2y
If y is 4, x is less than 8. x could be 7 as well as -7. Hence this statement alone is not sufficient.
Answer (A)
