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# During a 10-week summer vacation, was the average

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Manager
Joined: 14 Jun 2008
Posts: 162

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During a 10-week summer vacation, was the average [#permalink]

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10 Aug 2008, 02:27
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During a 10-week summer vacation, was the average (arithmetic mean) number of
books that Carolyn read per week greater than the average number of books that Jacob

(1) Twice the average number of books that Carolyn read per week was greater
than 5 less than twice the average number of books that Jacob read per week.

(2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more
than Jacob.

Kudos [?]: 37 [0], given: 0

Director
Joined: 10 Sep 2007
Posts: 934

Kudos [?]: 340 [0], given: 0

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10 Aug 2008, 02:46
Is C > J?

(1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week. (Assuming that average weekly consumption is same).
2C/10 > 2J/10 - 5
C > J - 50
May be case as C can be so large as to be more than J but it can also be so small that J is bigger than it.

(2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.
Not sufficient at all. Data of first 5 weeks missing.

Combining them is not going to yield any data either. So IMO E.

However, this question was discussed earlier and OA given was A but there was a dispute for the same.

Refer to this link for more explanations.
7-p476162

Kudos [?]: 340 [0], given: 0

Re: vacation books DS   [#permalink] 10 Aug 2008, 02:46
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