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m22 #15 [#permalink]

27 Sep 2010, 14:44

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If after a number was added to a set consisting of all one-digit prime integers, the median of the set grew by 25%, which of the following cannot be the value of the number added?

A)4.8
B)5.0
C) sq. rt 29
D)7.7
E)49/4

Explanation: The original set was (2,3,5,7), Its median was 4. The median of the new set is 4*1.25 =5 Thus, the number added cannot be less than 5.

The correct answer is A.

Can someone explain? I may be misreading the question, but it does not say the set consists of all the signle digit prime numbers with no repeats. From the way it is worded: A number was added to a set that consists of single digit prime integers, couldn't that mean that {2,2,2,2,2} is an example of one such set, so is {7,7,7}?

I reasoned the lowest possible current median is 2 (if all 2's) and the highest possible current median is 7 (set of all 7's) so the new median would be between 2.5 and 8.75 (it does not say the number added had to be an integer) ...is this just a poorly worded question or am I reading too mcuh into it? Thanks
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Re: m22 #15 [#permalink]

28 Sep 2010, 04:05

It can't be all 2's or anything because it means that the set has "all the 1 digit prime nos." At least that is how I immediately interpreted it. I'd suggest don't go into semantics it can get confusing when it isn't.
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Re: m22 #15 [#permalink] 28 Sep 2010, 04:05

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m22 #15

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