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Jelly Beans

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by abhirup1711 » Thu Jun 13, 2013 5:46 am
A bag has jelly beans of red, blue, green and yellow colours. How many pairs of matching colored beans are there in the bag?
1.There are as many blue beans as there are red beans
2.The bag contains 15 jelly beans.

Please help
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by aaggar7 » Fri Jun 14, 2013 1:44 am
IMO B
If the sum is 15 then the number of matching color pairs is 6

OA please.
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by Brent@GMATPrepNow » Fri Jun 14, 2013 4:40 am
abhirup1711 wrote:A bag has jelly beans of red, blue, green and yellow colours. How many pairs of matching colored beans are there in the bag?
1.There are as many blue beans as there are red beans
2.The bag contains 15 jelly beans.
Target question: How many pairs of matching colored beans are there in the bag?

Statement 1: There are as many blue beans as there are red beans
There are several scenarios that meet this condition. Here are two:
Case a: 1 red, 1 blue, 1 green and 12 yellow, in which case there are 6 pairs
Case b: 2 red, 2 blue, 2 green and 9 yellow, in which case there are 7 pairs
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The bag contains 15 jelly beans.
There are several scenarios that meet this condition. Here are two:
Case a: 1 red, 1 blue, 1 green and 12 yellow, in which case there are 6 pairs
Case b: 2 red, 2 blue, 2 green and 9 yellow, in which case there are 7 pairs
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined:
There are several scenarios that meet both conditions. Here are two:
Case a: 1 red, 1 blue, 1 green and 12 yellow, in which case there are 6 pairs
Case b: 2 red, 2 blue, 2 green and 9 yellow, in which case there are 7 pairs
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer = E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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