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

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Senior Manager
Status: May The Force Be With Me (D-DAY 15 May 2012)
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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
3
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4
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Difficulty:

55% (hard)

Question Stats:

60% (02:28) correct 40% (01:14) wrong based on 445 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.
[Reveal] Spoiler: OA

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

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08 Apr 2012, 10:13
Expert's post
boomtangboy wrote:
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.

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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, 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
1
KUDOS
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

1+2) NS
Case 1)
Before
X=BB Y=RR

After
Y=BR Y=RB

Case 2)
Before
X=BB Y=RB

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

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24 Dec 2013, 02:21
I used very simple cases and got to the conclusion real quick.
Before
X=RR Y=RR

After
Y=RR Y=RR

Next Case
Before
X=BB Y=RR

After
X=BR Y=RB
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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?
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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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: Bowls X and Y each contained exactly 2 jelly beans, each of   [#permalink] 22 Mar 2016, 10:02
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