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Roman Party - Overlapping Sets

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Roman Party - Overlapping Sets

by suchoudh » Sun Jan 24, 2010 3:53 pm
The king set a big party. Each guest had to wear either a red tunic or a white tunic. In addition, some guests were allowed to wear a golden ribbon. If 250 guests did not wear a golden ribbon, and 240 guests wore red tunics, how many guests wore a white tunic without a golden ribbon?
(1) 100 guests wore a white tunic with a golden ribbon.
(2) 150 guests wore a red tunic with a golden ribbon.


(1) statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
(2) statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
(3) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked;
(4) EACH statement ALONE is sufficient to answer the question asked;
(5) statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

OA 2
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Source: — Data Sufficiency |
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by ksundar » Sun Jan 24, 2010 11:17 pm
There are four possible dress combinations:
White Tunic Only
Red Tunic Only
Red Tunic with Golden Ribbon
White Tunic with Golden Ribbon

Inputs: 240 wore only Red Tunics and 250 did not wear Golden Ribbon

My Explanation:

250 did not wear golden ribbon which means that they either wore White Tunic or Red Tunic only. Since we already know 240 wore Red Tunics only, we will be left with 10 who wore White Tunic only. We already have the answer.

Either of the Given statements will help us getting the total guests who atteneded the party.

In my opinion, 4 is the answer. Anyone esle wanna have a go, please do!
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by ajith » Sun Jan 24, 2010 11:52 pm
suchoudh wrote:The king set a big party. Each guest had to wear either a red tunic or a white tunic. In addition, some guests were allowed to wear a golden ribbon. If 250 guests did not wear a golden ribbon, and 240 guests wore red tunics, how many guests wore a white tunic without a golden ribbon?
(1) 100 guests wore a white tunic with a golden ribbon.
(2) 150 guests wore a red tunic with a golden ribbon.


(1) statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
(2) statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
(3) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked;
(4) EACH statement ALONE is sufficient to answer the question asked;
(5) statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

OA 2
2, find the explanation attached.[/spoiler]
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by ksundar » Mon Jan 25, 2010 9:29 am
ajith wrote:
suchoudh wrote:The king set a big party. Each guest had to wear either a red tunic or a white tunic. In addition, some guests were allowed to wear a golden ribbon. If 250 guests did not wear a golden ribbon, and 240 guests wore red tunics, how many guests wore a white tunic without a golden ribbon?
(1) 100 guests wore a white tunic with a golden ribbon.
(2) 150 guests wore a red tunic with a golden ribbon.


(1) statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
(2) statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
(3) BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked;
(4) EACH statement ALONE is sufficient to answer the question asked;
(5) statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

OA 2
2, find the explanation attached.[/spoiler]
Thanks for the explanation, but 240 wore red tunic doesn't mean that they wore the ribbon as well right? Tricky one!
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by ramsharma » Tue Jan 26, 2010 3:41 am
Ksunder is right.Try to solve with double matrix method.Please see attached documents
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RAM SHARMA
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by tanviet » Tue Jan 26, 2010 10:23 pm
use tree diagram for this

white tunic red tunic (240)


ware(100) not ware ware(150) not ware
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by dmitriyaleyev » Wed Jan 27, 2010 9:20 am
Double Matrix is the easiest way. The key is too carefully read and understand categories:
White Red on top
Ribbon No Ribbon on the left





Just fill in the numbers and you are done. B it is.
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