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

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Senior Manager
Joined: 19 Feb 2007
Posts: 325

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

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26 Oct 2007, 23:31
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Difficulty:

55% (hard)

Question Stats:

61% (01:24) correct 39% (01:26) wrong based on 71 sessions

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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: during-a-10-week-summer-vacation-was-the-average-89563.html
[Reveal] Spoiler: OA

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Senior Manager
Joined: 11 Sep 2005
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Re: DS: Set 24 Q 12 [#permalink]

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27 Oct 2007, 01:53
sidbidus wrote:
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.

E

Info 1 InSuff: 2C (AVG)>2J(AVG)-5 = C(AVG)>J(AVG)-2.5
Info 2 Insuff

Info 1 & Info 2 - Insuff so E

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Manager
Status: Post MBA, working in the area of Development Finance
Joined: 09 Oct 2006
Posts: 168

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Location: Africa
Re: DS: Set 24 Q 12 [#permalink]

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27 Oct 2007, 03:40
Doesn't C(AVG)>J(AVG)-2.5 imply that the average (arithmetic mean) number of books that Carolyn read per week was fewer than the average number of books that Jacob read per week!
Is it not suff?
singh_amit19 wrote:
sidbidus wrote:
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.

E

Info 1 InSuff: 2C (AVG)>2J(AVG)-5 = C(AVG)>J(AVG)-2.5
Info 2 Insuff

Info 1 & Info 2 - Insuff so E

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Senior Manager
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Re: DS: Set 24 Q 12 [#permalink]

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27 Oct 2007, 04:04
Hi Artemov,

I think it's INSUFF
Let me try to explain my line of toughts.....
U r trying to say: J(AVG)-C(AVG)<2.5
the inequality can take multiple values....so INSUFF

Wht's the OA?

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Senior Manager
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27 Oct 2007, 10:59
OA is (A)...........I don't agree with it.

Lets say
the avg no of books that carol(C) reads is 7
the avg no of books that Jacob(J) reads is 9

So actuatlly J>C

but 2C>2J-5
i.e 14> (18-5)

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Director
Joined: 29 Nov 2012
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Re: During a 10-week summer vacation, was the average [#permalink]

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17 Jan 2013, 05:10
any detailed explanation for this question?
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Math Expert
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Re: During a 10-week summer vacation, was the average [#permalink]

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17 Jan 2013, 05:14
fozzzy wrote:
any detailed explanation for this question?

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Re: During a 10-week summer vacation, was the average   [#permalink] 17 Jan 2013, 05:14
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