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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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New post 13 Jul 2018, 07:04
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A
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E

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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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New post 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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New post 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

Posted from my mobile device


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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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