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A box contains 30 beads, of which 15 are blue, 9 are red

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A box contains 30 beads, of which 15 are blue, 9 are red [#permalink]

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A box contains 30 beads, of which 15 are blue, 9 are red, and 6 are green. If 6 of the beads are removed, how many of the beads left in the box are green?

(1) None of the beads removed from the box are red.
(2) Half of the beads removed from the box are blue.

The answer as per the source is C. But I am confused.

Statement 1 is clearly insufficient.

Statement 2 --> Half of the beads removed from the box are blue.. Total Blue beads are 15. So half of it can be 7.5, but beads has to be an integer value. But it can't be 7 as the question says only 6 are removed. So when 6 blue beads are removed then all green remains in the box. Therefore sufficient.
[Reveal] Spoiler: OA

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Re: A box contains 30 beads, of which 15 are blue, 9 are red [#permalink]

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A box contains 30 beads, of which 15 are blue, 9 are red, and 6 are green. If 6 of the beads are removed, how many of the beads left in the box are green?

(1) None of the beads removed from the box are red --> so only blue and green beads were removed, but we don't know how many from 6 were green. Not sufficient.

(2) Half of the beads removed from the box are blue --> 6/2=3 beads removed were blue, but we don't how many of the other 3 beads were green. Not sufficient.

(1)+(2) Since from (1) no red beads were removed and from (2) 3 beads out of 6 removed were blue, then the other 3 beads were green, which makes # of green beads in the box equal to 6-3=3. Sufficient.

Answer: C.
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Re: A box contains 30 beads, of which 15 are blue, 9 are red [#permalink]

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New post 17 Apr 2012, 15:01
1 NS, we no red beads were picked but we don't know how many of the 6 picked were green.
2 NS, half of the beads picked were blue, but the other 3 could be either Green or red of both.

1n2 S, we know no red beads were picked and we know 3 were blue so the other 3 must be green. So 9 - 3 = 6 left

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Re: A box contains 30 beads, of which 15 are blue, 9 are red [#permalink]

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Re: A box contains 30 beads, of which 15 are blue, 9 are red   [#permalink] 23 Nov 2017, 23:41
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