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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 [#permalink] New post 22 Jan 2010, 23:27
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Question Stats:

57% (02:16) correct 43% (01:21) wrong based on 122 sessions
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.
[Reveal] Spoiler: OA

Last edited by Bunuel on 22 Oct 2013, 03:42, edited 2 times in total.
OA edited.
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Re: inequality [#permalink] New post 23 Jan 2010, 00:27
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vaivish1723 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.

Oa is
[Reveal] Spoiler:
a
.

Please explain.


Let c be the average # of books that Carolyn read per week;
Let j be the average # of books that Jacob read per week;

Question is c>j?

(1) 2c>2j-5, if c=10<j=11 --> 2*10=20>2*11-5=17 BUT if c=10>j=5 --> 2*10=20>2*5-5=5, two different answers. Not sufficient.

(2) Clearly insufficient. In the second half of the 10 week period, Carolyn read 3 books more than Jacob. So her average for the second half will be greater than Jacob's, but we know nothing about the first half.

(1)+(2) Combined two statements also not sufficient to determine whether c>j.

Answer: E.
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Re: During a 10-week summer vacation, was the average [#permalink] New post 30 Oct 2012, 03:56
Bunuel..it is necessary to try with num..

i have done lyk this..take C as the average of carolyn and J as the avg of jacob..

2c>2j-5
2j-2c<5

(J-C)<5/2..

so we dont knw its positive or negative..if its positive that means J avg is more than carolyn and vice versa..

Statement 2 is insufficient..

both are still insufficient to give the ans ..

So e..
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Re: During a 10-week summer vacation, was the average [#permalink] New post 30 Oct 2012, 04:47
Expert's post
sanjoo wrote:
Bunuel..it is necessary to try with num..

i have done lyk this..take C as the average of carolyn and J as the avg of jacob..

2c>2j-5
2j-2c<5

(J-C)<5/2..

so we dont knw its positive or negative..if its positive that means J avg is more than carolyn and vice versa..

Statement 2 is insufficient..

both are still insufficient to give the ans ..

So e..


Yes, you can do this way as well.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: inequality [#permalink] New post 22 Oct 2013, 03:36
Bunuel wrote:
vaivish1723 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.

Oa is
[Reveal] Spoiler:
a
.

Please explain.


Let c be the average # of books that Carolyn read per week;
Let j be the average # of books that Jacob read per week;

Question is c>j?

(1) 2c>2j-5, if c=10<j=11 --> 2*10=20>2*11-5=17 BUT if c=10>j=5 --> 2*10=20>2*5-5=5, two different answers. Not sufficient.

(2) Clearly insufficient. In the second half of the 10 week period, Carolyn read 3 books more than Jacob. So her average for the second half will be greater than Jacob's, but we know nothing about the first half.

(1)+(2) Combined two statements also not sufficient to determine whether c>j.

Answer: E.


Bunuel, answer is seen in "edit" in the first post, kind of destroys the purpose of 'spoiler', could you please edit it out?
Re: inequality   [#permalink] 22 Oct 2013, 03:36
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