The king set a big party. Each guest had to wear either a

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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

[Jay@ManhattanReview]

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

See the following self-explanatory image.



The correct answer: B

Hope this helps!

-Jay
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[Scott@TargetTestPrep]

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

Statement One Only:

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