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# Each candle in a particular box is either round or square and either s

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Senior RC Moderator
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2251
Location: Pakistan
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Each candle in a particular box is either round or square and either s  [#permalink]

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01 Apr 2017, 10:21
1
3
00:00

Difficulty:

55% (hard)

Question Stats:

67% (02:15) correct 33% (01:56) wrong based on 95 sessions

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Each candle in a particular box is either round or square and either scented or unscented. If 60% of the candles are round, what is the probability that a candle selected randomly from the box will be unscented?

(1) If a candle is scented, it has an 80% chance of being round.
(2) If a candle is square, it has a 25% chance of being scented.

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Director
Joined: 14 Nov 2014
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Location: India
GMAT 1: 700 Q50 V34
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Re: Each candle in a particular box is either round or square and either s  [#permalink]

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01 Apr 2017, 21:09
Each candle in a particular box is either round or square and either scented or unscented. If 60% of the candles are round, what is the probability that a candle selected randomly from the box will be unscented?

(1) If a candle is scented, it has an 80% chance of being round.
(2) If a candle is square, it has a 25% chance of being scented.

C will be answer ....As per my calculation the probability will be 0.5...
Current Student
Joined: 19 Aug 2016
Posts: 149
Location: India
GMAT 1: 640 Q47 V31
GPA: 3.82
Re: Each candle in a particular box is either round or square and either s  [#permalink]

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05 Jul 2017, 10:09
Each candle in a particular box is either round or square and either scented or unscented. If 60% of the candles are round, what is the probability that a candle selected randomly from the box will be unscented?

(1) If a candle is scented, it has an 80% chance of being round.
(2) If a candle is square, it has a 25% chance of being scented.

Hi,

Could you give the official solution or could any of the experts help in reaching a solution to this question? I was past my 2 minute barrier and couldn't even formulate a solution.

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Joined: 21 Aug 2013
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Re: Each candle in a particular box is either round or square and either s  [#permalink]

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05 Jul 2017, 10:32
2
As attached in two pictures.

answer should be C, as by combining the two statements, we get our answer
Attachments

IMG_20170705_235806.jpg [ 42.39 KiB | Viewed 756 times ]

IMG_20170705_235802.jpg [ 46.58 KiB | Viewed 756 times ]

Intern
Joined: 23 May 2016
Posts: 7
Location: India
GPA: 3.04
WE: Analyst (Retail)
Re: Each candle in a particular box is either round or square and either s  [#permalink]

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05 Jul 2017, 10:57
I could solve the question based on equation(s), but in my opinion this is too tough for sub 700 level question. If anyone has any better and quick solution, please help.
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Re: Each candle in a particular box is either round or square and either s  [#permalink]

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10 Oct 2018, 12:15
Hello from the GMAT Club BumpBot!

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Re: Each candle in a particular box is either round or square and either s   [#permalink] 10 Oct 2018, 12:15
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