During a 10-week summer vacation, was the average

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

09 Sep 2004, 11:52

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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 read per week?
(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.

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09 Sep 2004, 12:56

1. Insufficient. If Carolyn had read 5 books and Jacob had read 6 books i a week, we have 10>12-5 which means Jacob read more than Carolyn. However, if Jacob had read 4 books then again 10>8-5. This time Carolyn has read more. So, we dont know.
2. Insufficient. We dont know about the first 5 weeks. Jacob could have read more.

Both combined, still unclear. So, E.

feel like :sleep

. Cant think at this hour..

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04 Sep 2006, 11:05

I saw this question on my practice test and the OA says A. Can someone help to explain? or my OA is wrong?

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06 Sep 2006, 03:13

A

average number of books that Carolyn read per week = C
average number of books that Jacob read per week= J

question is asking : is C > J

From (1)

2C > 2J - 5 => c > J

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06 Sep 2006, 11:07

AK wrote:

A

average number of books that Carolyn read per week = C
average number of books that Jacob read per week= J

question is asking : is C > J

From (1)

2C > 2J - 5 => c > J

if c=5, j=7 then c > j -5/2 i.e. 5 > 4.5

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06 Sep 2006, 11:14

E

Let C - Av books read by Carolyn
J - Av books read by Jacob

We have to find if C-J > 0??

St1: 2C > 2J - 5
C - J > -5/2
C-J could be +ve or -ve. : INSUFF

St2: Clearly INSUFF

Together:
St2 is not helping st1. : INSUFF
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06 Sep 2006, 11:35

Answer: E
Q: Cavg > Javg

S1: Cavg > J -2.5
Not sufficient.

S2: Not sufficient.

S1 & S2: Provides no further insight...

Answer: E

[#permalink] 06 Sep 2006, 11:35

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During a 10-week summer vacation, was the average

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During a 10-week summer vacation, was the average

During a 10-week summer vacation, was the average

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