Tuesday Q2 - Interns : GMAT Problem Solving (PS)
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# Tuesday Q2 - Interns

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Manager
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
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13 Oct 2009, 05:25
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Question Stats:

44% (02:28) correct 56% (03:07) wrong based on 44 sessions

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At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent of the interns report no feelings of tiredness during their shifts?
1. 6
2. 14
3. 19
4. 20
5. 81
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Re: Tuesday Q2 - Interns [#permalink]

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13 Oct 2009, 07:57
hogann wrote:
At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent of the interns report no feelings of tiredness during their shifts?
1. 6
2. 14
3. 19
4. 20
5. 81

80% receive less than 6 hours of sleep
75% report feeling tired so 5% dont feel tired

20% receive 6 or more hours of sleep
out of this 70% report no tiredness so it become 14%

total 5%+14% = 19%...C
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Re: Tuesday Q2 - Interns [#permalink]

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13 Oct 2009, 08:03
Lets say there are 100 interns. 80 of them receive <6 hrs of sleep and 75 of the 100 receive <6 hrs and report tiredness. So out of the 80 receiving <6 hrs only 5 do not report tiredness.
Also given that 70% of interns getting >= 6 hrs of sleep report no tiredness. There are 100-80 = 20 interns receiving >= 6 hrs of sleep. So 70%x20 = 14 of them report no tiredness.
So total interns reporting no tiredness = 5+14 = 19.

Is that the OA?
Manager
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Re: Tuesday Q2 - Interns [#permalink]

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13 Oct 2009, 09:18
I will go with option C
Manager
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Re: Tuesday Q2 - Interns [#permalink]

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13 Oct 2009, 10:31
asterixmatrix wrote:
80% receive less than 6 hours of sleep
75% report feeling tired so 5% dont feel tired

20% receive 6 or more hours of sleep
out of this 70% report no tiredness so it become 14%

total 5%+14% = 19%...C

Great Explanation - OA is 19%
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Re: Tuesday Q2 - Interns [#permalink]

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03 May 2011, 22:16
5 + 0.7x = 5 + 14 = 19
Hence C
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Re: Tuesday Q2 - Interns [#permalink]

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05 May 2011, 06:49
Let 100 - Total

80 < 6 hrs of sleep

75 < 6 hrs of sleep and tired

=> 5 < 6 hrs of sleep and not tired

0.7 * 20 >= 6 hrs of sleep and not tired

= 14

So total = 19% not tired

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Re: Tuesday Q2 - Interns   [#permalink] 05 May 2011, 06:49
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