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stonecold
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24 Dec 2016, 21:08
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
60% (01:43) correct
40%
(01:25)
wrong
based on 5
sessions
History
Date
Time
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Not Attempted Yet
10, 6, p, q, 11
Given the above series of positive integers arranged in a random order, what is the value of p/q
(1) The average (arithmetic mean) of given numbers is 7
(2) p is the median of the given series
Source-> E-gmat
Given the above series of positive integers arranged in a random order, what is the value of p/q
(1) The average (arithmetic mean) of given numbers is 7
(2) p is the median of the given series
Source-> E-gmat
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
26 Dec 2016, 20:05
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stonecold
Dear stonecold,
I'm happy to respond.
I really like this question: it's clever! Statement #1: We know the average is 7, so the sum must be 35.
10 + 6 + p + q + 11 = 35
p + q = 8
We know the sum of p & q, but there are several pairs of positive integers that work, so we cannot determine a ratio. This statement, alone and by itself, is insufficient.
Statement #2: We know 11 is the biggest number, then 10, then p 6 and p > q. This establishes a range for p, but we still cannot determine a ratio. This statement, alone and by itself, is also insufficient.
Combined statements:
The variable p and q have a sum of 8, and p must be a median in a set in which 6 is a member. It could be
q = 1, p = 7, set = {1, 6, 7, 10, 11}
That set has a mean of 7 and median of p. It could also be
q = 2, p = 6, set = {2, 6, 6, 10, 11}
That set also has a mean of 7 and a median of p. The median doesn't have to be distinct or unique in the set: the middle number, the third number in a set of five, is always the median, regardless of how many other numbers have that same value.
Two different possible values of the ratio are consistent with the information of the combined statements. We cannot determine a unique answer. Even with everything together, it's still insufficient.
OA = (E)
Does all this make sense?
Mike
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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