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# Word Problem : A "complete set" of disks consists of

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Word Problem : A "complete set" of disks consists of  [#permalink]

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13 Jul 2018, 07:04
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Question Stats:

100% (00:45) correct 0% (00:00) wrong based on 4 sessions

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A "complete set" of disks consists of one green disk, one blue disk, one orange disk, and one purple disk. A bag contains 12 green disks, 12 blue disks, 12 orange disks, and 12 purple disks. The bag contains nothing else. If 6 disks are randomly selected from the bag, what is the greatest possible number of complete sets of disks that could be remaining in the bag?

A)5
B)6
C)8
D)9
E)10

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Re: Word Problem : A "complete set" of disks consists of  [#permalink]

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13 Jul 2018, 07:29
A "complete set" of disks consists of one green disk, one blue disk, one orange disk, and one purple disk.

A bag contains 12 green disks, 12 blue disks, 12 orange disks, and 12 purple disks.

=> The bag contains 12 complete set of disks

To find the greatest possible number of complete sets of disks that could be remaining in the bag If 6 disks are randomly selected from the bag

The above statement is same as how many minimum number of complete set's can be formed with 6 disks

=> 1 complete set with 4 disks and a half complete set with two different colors

=> The bag contains 10 complete sets and two disks of different color

Hence option E
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Re: Word Problem : A "complete set" of disks consists of  [#permalink]

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13 Jul 2018, 11:55
Harshgmat wrote:
A "complete set" of disks consists of one green disk, one blue disk, one orange disk, and one purple disk. A bag contains 12 green disks, 12 blue disks, 12 orange disks, and 12 purple disks. The bag contains nothing else. If 6 disks are randomly selected from the bag, what is the greatest possible number of complete sets of disks that could be remaining in the bag?

A)5
B)6
C)8
D)9
E)10

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Please search before posting: https://gmatclub.com/forum/a-complete-s ... 59584.html Thank you.
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Re: Word Problem : A "complete set" of disks consists of &nbs [#permalink] 13 Jul 2018, 11:55
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