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

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Manager
Joined: 09 Sep 2004
Posts: 54
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During a 10-week summer vacation, was the average [#permalink]  09 Sep 2004, 10:52
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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.
Director
Joined: 16 Jun 2004
Posts: 893
Followers: 2

Kudos [?]: 19 [0], given: 0

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 . Cant think at this hour..
Manager
Joined: 01 Nov 2005
Posts: 126
Followers: 1

Kudos [?]: 25 [0], given: 0

I saw this question on my practice test and the OA says A. Can someone help to explain? or my OA is wrong?
Senior Manager
Joined: 19 Jul 2006
Posts: 361
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Kudos [?]: 3 [0], given: 0

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
Senior Manager
Joined: 14 Jul 2005
Posts: 402
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Kudos [?]: 12 [0], given: 0

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
CEO
Joined: 20 Nov 2005
Posts: 2913
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Followers: 18

Kudos [?]: 121 [0], given: 0

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
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

VP
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 42 [0], given: 0

Q: Cavg > Javg

S1: Cavg > J -2.5
Not sufficient.

S2: Not sufficient.

S1 & S2: Provides no further insight...

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

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