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If after a number was added to a set consisting

Expert replies
by guerrero » Tue Jun 11, 2013 1:38 pm
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?

4.8
5.0
√29
7.7
94/4

OA A
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Source: — Problem Solving |

by Brent@GMATPrepNow » Tue Jun 11, 2013 1:50 pm
guerrero wrote: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?

4.8
5.0
√29
7.7
94/4

OA A
I'm not crazy about the ambiguous wording here.
Presumably the original set is {2, 3, 5, 7}
So, the median of this set is (3+5)/2 = 4

Answer choice B: Notice that if we add 5, we get {2, 3, 5, 5, 7}
So, the median is now 5.
This represents a 25% increase in the value of the median.

Answer choice C: Notice that if we add √29 , we get {2, 3, 5, √29, 7}
So, the median is now 5.
This represents a 25% increase in the value of the median.

Answer choice D: Notice that if we add 7.7 , we get {2, 3, 5, 7, 7.7}
So, the median is now 5.
This represents a 25% increase in the value of the median.

Answer choice E: Notice that if we add 94/4 , we get {2, 3, 5, 7, 94/4}
So, the median is now 5.
This represents a 25% increase in the value of the median.

Answer = A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Atekihcan » Thu Jun 13, 2013 1:05 am
No need to check all the options.

Original set {2, 3, 5, 7}
So, median of the set is (3 + 5)/2 = 4

By adding a number (Say, N) the median increases by 25%.
So, new median = (4 + 1) = 5

This means if we arrange the numbers in ascending order, the middle (third) number must be 5.
So, N cannot be less than 5
So, N cannot be 4.8

Answer : A
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by ygdrasil24 » Thu Jun 13, 2013 4:56 am
Good One
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