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

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AAPL: Moderator; Posts: 2599; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

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

by AAPL » Thu Jul 04, 2019 6:31 pm

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

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Source: Beat The GMAT — Data Sufficiency | Thu Jul 04, 2019 6:31 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

by deloitte247 » Sun Jul 07, 2019 7:53 am

Statement 1=> 100 guests wore a white tunic with a golden ribbon.
250 guests did not wear golden ribbon
240 guests wore red tunics
100 guests wore a white tunic with a golden ribbon.
Total number of guests that wore a white tunic without a golden ribbon remains unknown because the total number of guests that wore red tunic without golden ribbon cannot be evaluated from the given information. Hence, statement 1 is NOT SUFFICIENT

Statement 2=> 150 guests wore a red tunic with a golden ribbon.
Therefore, quests wearing red tunic without golden ribbon = 240 - 150 = 90.
Hence, guests wearing white tunic without golden ribbon = 250 - 90 = 160
Statement 2 alone is SUFFICIENT.

The correct answer is OPTION B.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Tue Nov 12, 2019 6:52 pm

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

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

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