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# How many people in Town X read neither the World newspaper

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How many people in Town X read neither the World newspaper [#permalink]  18 Dec 2009, 02:07
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How many people in Town X read neither the World newspaper nor the Globe newspaper?

(1) Of 2,500 people in Town X, 1,000 read no newspaper
(2) Of the people in Town X, 700 read the Globe only and 600 read the World only.

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

I thought the answer would be (A) but it is (E). Can anyone explain it? Thanks.
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Re: set problem [#permalink]  18 Dec 2009, 04:00
1
KUDOS
No of people who read newspaper are 2500-1000= 1500

No of people who read either globe or world = 600+700 = 1300

No of people who read news paper but neither world nor globe = 1500-1300

Thus Both are suff if taken toghther but individually not.

IMO its C....OA pls

sjrhee wrote:
How many people in Town X read neither the World newspaper nor the Globe newspaper?

(1) Of 2,500 people in Town X, 1,000 read no newspaper
(2) Of the people in Town X, 700 read the Globe only and 600 read the World only.

A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

I thought the answer would be (A) but it is (E). Can anyone explain it? Thanks.

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Re: set problem [#permalink]  18 Dec 2009, 13:18
.......|World|Globe|Total
Yes...|700..|600..|1500
No.....| ..?.. | ..?..|1000
Total..| ..?.. | ..?..|2500

This is the info from both statement. We can't find the answer with these info.
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Re: set problem [#permalink]  19 Dec 2009, 13:41
They gave the data only about people who read only world newspaper or only globe newspaper, but no data is mentioned about the people who might be reading both. So according to me the answer is "E"
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Re: set problem [#permalink]  19 Dec 2009, 17:02
2
KUDOS
Here is how you solve it.
OP don't assume that town X has only Globe and World newspapers

# of People in town X = T
# of People who don't read newspapers = D
# of People who read a newspaper = T-D
# of people who read only Globe = G
# of people who read only World = W
# of people who read both World and Globe = B
# of people who read neither globe nor world, perhaps they read a third kind called Nonsense Newspaper = N
T-D = G+W+B+N
We need to find out D+N
Statement 1 gives D = 1000 & T=2500
Statement 2 gives G=700 & W=600
We don't know B to solve for N.

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Schools: ISB '15 (M)
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GMAT 2: 710 Q50 V35
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Re: set problem [#permalink]  20 Dec 2009, 09:53
mbio wrote:
They gave the data only about people who read only world newspaper or only globe newspaper, but no data is mentioned about the people who might be reading both. So according to me the answer is "E"

Yup right I was wrong...silly

'E'
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Re: set problem [#permalink]  23 Dec 2009, 15:32
Let N be the number of people who read neither the World newspaper nor the Globe newspaper.
From statement (1) alone we estimate that N is greater or equal to 1000 and less or equal to 2500, i.e. statement (1) alone is not sufficient
From statement (2) alone we cannot estimate the value of N, i.e. statement (2) alone is not sufficient
From BOTH statements TOGETHER we get 200= 2500-1000-700-600 - total number of 4 groups of people; who
(i) read at least one newspaper, but neither the World newspaper nor the Globe newspaper,
(ii) read the World newspaper and at least one newspaper else, but not the Globe newspaper.
(iii) read the Globe newspaper and at least one newspaper else, but not the World newspaper.
(iv) read both Globe and World newspapers
We cannot estimate the number of people in any of these groups without additional data.
So, E is correct.
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Re: set problem [#permalink]  30 Dec 2009, 03:13
i think this is the best explaination of the question.

atish wrote:
Here is how you solve it.
OP don't assume that town X has only Globe and World newspapers

# of People in town X = T
# of People who don't read newspapers = D
# of People who read a newspaper = T-D
# of people who read only Globe = G
# of people who read only World = W
# of people who read both World and Globe = B
# of people who read neither globe nor world, perhaps they read a third kind called Nonsense Newspaper = N
T-D = G+W+B+N
We need to find out D+N
Statement 1 gives D = 1000 & T=2500
Statement 2 gives G=700 & W=600
We don't know B to solve for N.

Re: set problem   [#permalink] 30 Dec 2009, 03:13
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