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Bowls X and Y each contained exactly 2 jelly beans, each of [#permalink]

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08 Apr 2012, 09:44

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60% (01:29) correct
40% (01:20) wrong based on 572 sessions

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Bowls X and Y each contained exactly 2 jelly beans, each of which was either red or black. One of the jelly beans in bowl X was exchanged with one of the jelly beans in bowl Y. After the exchange, were both of the jelly beans in bowl X black?

(1) Before the exchange, bowl X contained 2 black jelly beans. (2) After the exchange, bowl Y contained 1 jelly bean of each color.

Bowls X and Y each contained exactly 2 jelly beans, each of which was either red or black. One of the jelly beans in bowl X was exchanged with one of the jelly beans in bowl Y. After the exchange, were both of the jelly beans in bowl X black?

(1) Before the exchange, bowl X contained 2 black jelly beans. (2) After the exchange, bowl Y contained 1 jelly bean of each color.

Consider two cases for (1)+(2):

Initially X={BB} and Y={BR} --> B was exchanged with B --> X={BB} and Y={BR}: answer is YES; Initially X={BB} and Y={RR} --> B was exchanged with R --> X={BR} and Y={BR}: answer is NO.

Re: Bowls X and Y each contained exactly 2 jelly beans, each of [#permalink]

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19 Nov 2013, 15:17

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Bowls X and Y each contained exactly 2 jelly beans, each of [#permalink]

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19 Nov 2013, 21:48

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1) NS, because it gives no information on X after the exchange. 2) NS, because the initial for both X and Y could be the following: X=RR Y=BB X=RB Y=BB

Re: Bowls X and Y each contained exactly 2 jelly beans, each of [#permalink]

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27 Jan 2015, 19:20

Question: how do you know they are not "exclusive". I misunderstood the question as meaning that there are 2 black and 2 reds, and thus had everything wrong. What clue can you pick up to know that there can be any combination of colors?

Re: Bowls X and Y each contained exactly 2 jelly beans, each of [#permalink]

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22 Mar 2016, 10:02

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Bowls X and Y each contained exactly 2 jelly beans, each of which was either red or black. One of the jelly beans in bowl X was exchanged with one of the jelly beans in bowl Y. After the exchange, were both of the jelly beans in bowl X black?

(1) Before the exchange, bowl X contained 2 black jelly beans. (2) After the exchange, bowl Y contained 1 jelly bean of each color.

This question tests the general ability to think of counterexamples

It cannot be (1) alone because before exchange X=BB with Y=RR and Y=BR give different results for X It cannot be (2) alone because after exchange Y=BR can come from X= BB with Y=RR and Y=BR and can give different results for X It cannot be (1) and (2) together also because before exchange X=BB with Y=RR and Y=BR can give different results for X with Y=BR after exchange

So the answer is E

Note: Try to use the same counter example as far as possible.
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