Economist GMAT
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.
OA B
The king set a big party. Each guest had to wear either a
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- Jay@ManhattanReview
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See the following self-explanatory image.AAPL wrote:Economist GMAT
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.
OA B
The correct answer: B
Hope this helps!
-Jay
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Statement One Only:AAPL wrote:Economist GMAT
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.
OA B
100 guests wore a white tunic with a golden ribbon.
Since we don't know the number of guests who wore a white tunic, statement one alone is not sufficient.
Statement Two Only:
150 guests wore a red tunic with a golden ribbon.
Since 240 guests wore a red tunic, 240 - 150 = 90 guests wore a red tunic without a golden ribbon. Furthermore, since 250 guests did not wear a gold ribbon, 250 - 90 = 160 guests must be wearing a white tunic without a golden ribbon. Statement two alone is sufficient.
Answer: B
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