GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Oct 2019, 02:10

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

At a certain hospital, 75% of the interns receive fewer than 6 hours

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
Posts: 159
Schools: RD 2: Darden Class of 2012
At a certain hospital, 75% of the interns receive fewer than 6 hours  [#permalink]

Show Tags

New post 13 Oct 2009, 06:25
2
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (02:09) correct 38% (02:56) wrong based on 81 sessions

HideShow timer Statistics

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


OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/at-a-certain ... 08658.html
Manager
Manager
avatar
Joined: 12 Oct 2009
Posts: 95
Re: At a certain hospital, 75% of the interns receive fewer than 6 hours  [#permalink]

Show Tags

New post 13 Oct 2009, 08:57
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
Intern
Intern
avatar
Joined: 08 Oct 2009
Posts: 39
Re: At a certain hospital, 75% of the interns receive fewer than 6 hours  [#permalink]

Show Tags

New post 13 Oct 2009, 09:03
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
Manager
avatar
Joined: 15 Sep 2009
Posts: 90
Re: At a certain hospital, 75% of the interns receive fewer than 6 hours  [#permalink]

Show Tags

New post 13 Oct 2009, 10:18
I will go with option C
Manager
Manager
avatar
Affiliations: CFA Level 2 Candidate
Joined: 29 Jun 2009
Posts: 159
Schools: RD 2: Darden Class of 2012
Re: At a certain hospital, 75% of the interns receive fewer than 6 hours  [#permalink]

Show Tags

New post 13 Oct 2009, 11:31
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%
Director
Director
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 854
Re: At a certain hospital, 75% of the interns receive fewer than 6 hours  [#permalink]

Show Tags

New post 03 May 2011, 23:16
5 + 0.7x = 5 + 14 = 19
Hence C
Retired Moderator
avatar
B
Joined: 16 Nov 2010
Posts: 1253
Location: United States (IN)
Concentration: Strategy, Technology
Reviews Badge
Re: At a certain hospital, 75% of the interns receive fewer than 6 hours  [#permalink]

Show Tags

New post 05 May 2011, 07:49
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

Answer - C
_________________
Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58443
Re: At a certain hospital, 75% of the interns receive fewer than 6 hours  [#permalink]

Show Tags

New post 21 Mar 2017, 21:34
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




Given:
< 6 hours sleep>= 6 hours sleepTOTAL
Tired75--
Not Tired-0.7*X?
TOTAL80X100


Interns who receive < than 6 hours sleep and Not Tired = 80 - 75 = 5;

TOTAL interns who receive >= 6 hours sleep = 100 - 80 = 20, so interns who receive >= 6 hours sleep and are Not Tired = 0.7 * 20 =14;

Interns who are Not Tired = 5 + 14 = 19.

Answer: C.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/at-a-certain ... 08658.html
_________________
GMAT Club Bot
Re: At a certain hospital, 75% of the interns receive fewer than 6 hours   [#permalink] 21 Mar 2017, 21:34
Display posts from previous: Sort by

At a certain hospital, 75% of the interns receive fewer than 6 hours

  post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne