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

 It is currently 14 Oct 2019, 09:13

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

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

For a certain art exhibit, a museum sold admission tickets

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

Hide Tags

Intern
Joined: 28 Oct 2012
Posts: 15
For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

28 Oct 2012, 14:02
2
28
00:00

Difficulty:

95% (hard)

Question Stats:

57% (03:08) correct 43% (03:33) wrong based on 306 sessions

HideShow timer Statistics

For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive. The price of a regular admission ticket was $10 and the price of a student ticket was$6. If on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?

A. $24960 B.$25920
C. $28080 D.$28500
E. $29160 Most Helpful Expert Reply Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 9699 Location: Pune, India Re: For a certain art exhibit, a museum sold admission tickets [#permalink] Show Tags 04 Mar 2013, 20:48 24 3 Sachin9 wrote: From 9 until 5:55 , we have 11 intervals.. 9:00 1 9:05 2 9:10 3 9:15 4 9:20 5 9:25 6 9:30 7 9:35 8 9:40 9 9:45 10 9:50 11 9:55 Yes, we do but the tickets are not sold during the intervals; they are sold at 9:00 am, then at 9:05 am, then at 9:10 am etc... Read the question stem again: " a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive." Take an example. What does this mean: "I will message you every 5 mins starting from 9:00 in the morning to 5:55 in the evening, inclusive"? It means I will message at 9:00, at 9:05, at 9:10 and so on till 5:55. It's exactly the same concept here. The museum sells tickets at 9:00, then at 9:05 etc. When you think of selling tickets, don't think of a long queue moving forward one person at a time, think of tons of people requesting for a ticket at the kiosks and the museum printing 30 tickets every 5 mins. _________________ Karishma Veritas Prep GMAT Instructor Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options > Most Helpful Community Reply Intern Joined: 31 Oct 2012 Posts: 1 Re: For a certain art exhibit, a museum sold admission tickets [#permalink] Show Tags 01 Nov 2012, 13:33 9 If you assume they sell the first batch of tickets at 9:00 AM then you get to 108..... although they do not make this very clear in the question. General Discussion Board of Directors Joined: 01 Sep 2010 Posts: 3400 Re: GMATPrep question pack 1 problem [#permalink] Show Tags 28 Oct 2012, 15:45 this problem was tough even translating each phrase at time the only thing to be able was strategic guess after the first phrase we have that : $$A + S = 2850$$ (total of tickets) then: $$10A + 6S = X$$(this is the last unknown we want) and we know that for each ticket A we sold 3 times S ticket $$A = 3S$$ At this point looking at the answer choice a guess E and is correct, but i was not able to solve it. something is unclear Hoping in a Mod advice _________________ Math Expert Joined: 02 Sep 2009 Posts: 58317 Re: For a certain art exhibit, a museum sold admission tickets [#permalink] Show Tags 31 Oct 2012, 05:13 12 1 clarkkent0610 wrote: For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive. The price of a regular admission ticket was$10 and the price of a student ticket was $6. If on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day? A.$24960
B. $25920 C.$28080
D. $28500 E.$29160

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are 9*12=108 five-minute intervals, thus total of 108*30 tickets were sold.

Say x student and 3x regular tickets were sold, then x+3x=108*30 --> x=27*30 and 3x=3*(27*30)=27*90.

Therefore, the total revenue from ticket sales that day was 27*30*6+27*90*10=\$29,160.

Hope it's clear.
_________________
Board of Directors
Joined: 01 Sep 2010
Posts: 3400
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

01 Nov 2012, 12:58
7
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 58317
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

01 Nov 2012, 13:26
4
1
carcass wrote:
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are are 9*12=108 five-minute intervals, the same way as from 9:00 to 9:55 there are 12 five-minute intervals:
9:00
9:05
9:10
9:15
9:20
9:25
9:30
9:35
9:40
9:45
9:50
9:55

Hope it's clear.
_________________
Senior Manager
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 423
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

04 Mar 2013, 11:02
1
Bunuel wrote:
carcass wrote:
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are are 9*12=108 five-minute intervals, the same way as from 9:00 to 9:55 there are 12 five-minute intervals:
9:00
9:05
9:10
9:15
9:20
9:25
9:30
9:35
9:40
9:45
9:50
9:55

Hope it's clear.

Bunuel,
From 9:00 to 9: 55 there are 11 intervals.. not 12 .. what am I missing?
_________________
hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992
Math Expert
Joined: 02 Sep 2009
Posts: 58317
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

04 Mar 2013, 11:28
1
Sachin9 wrote:
Bunuel wrote:
carcass wrote:
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are are 9*12=108 five-minute intervals, the same way as from 9:00 to 9:55 there are 12 five-minute intervals:
9:00
9:05
9:10
9:15
9:20
9:25
9:30
9:35
9:40
9:45
9:50
9:55

Hope it's clear.

Bunuel,
From 9:00 to 9: 55 there are 11 intervals.. not 12 .. what am I missing?

Check again:
1. 9:00
2. 9:05
3. 9:10
4. 9:15
5. 9:20
6. 9:25
7. 9:30
8. 9:35
9. 9:40
10. 9:45
11. 9:50
12. 9:55
_________________
Senior Manager
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 423
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

04 Mar 2013, 19:30
1
From 9 until 5:55 , we have 11 intervals..

9:00
1
9:05
2
9:10
3
9:15
4
9:20
5
9:25
6
9:30
7
9:35
8
9:40
9
9:45
10
9:50
11
9:55
_________________
hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992
Manager
Joined: 16 Feb 2011
Posts: 164
Schools: ABCD
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

20 Apr 2013, 12:33
2
VeritasPrepKarishma wrote:
Sachin9 wrote:
From 9 until 5:55 , we have 11 intervals..

9:00
1
9:05
2
9:10
3
9:15
4
9:20
5
9:25
6
9:30
7
9:35
8
9:40
9
9:45
10
9:50
11
9:55

Yes, we do but the tickets are not sold during the intervals; they are sold at 9:00 am, then at 9:05 am, then at 9:10 am etc...

Read the question stem again:
" a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive."

Take an example.
What does this mean: "I will message you every 5 mins starting from 9:00 in the morning to 5:55 in the evening, inclusive"?
It means I will message at 9:00, at 9:05, at 9:10 and so on till 5:55.

It's exactly the same concept here. The museum sells tickets at 9:00, then at 9:05 etc. When you think of selling tickets, don't think of a long queue moving forward one person at a time, think of tons of people requesting for a ticket at the kiosks and the museum printing 30 tickets every 5 mins.

Karishma,
Do we have to assume that as soon as the clock ticks 9:00:00, 30 tickets are sold? That sounds bizarre. Realistically, I would think that 30 tickets will be sold between 9:00 and 9:05. Isn't it? Your above example of sending message(s) is different because a message can be sent at a particular time "x." However, sending 30 messages exactly at "x" moment doesn't sound realistic. Do we have to assume that the GMAT thinks that such a case is realistic? I am still not clear ...how will I distinguish between the two facts:-

fact a- tickets sold between 9:00 and 9:05
fact b- tickets sold at 9:00 and 9:05.

Thanks
Director
Joined: 17 Dec 2012
Posts: 626
Location: India
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

20 Apr 2013, 20:58
Bunuel and Karishma,

The problem does not make it very clear which of the following is the case:

1. Sold 30 tickets starting at 9:00 and 30 tickets starting at 9:05 and so on
2. Sold 30 tickets between 9:00 and 9:05 and so on

I guess one would normally interpret what is said in the problem as meaning the second case. When you say every five minutes we assume it is the interval unlike when you say "every fifth minute" when you assume it is at that point in time.
_________________
Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravnatestprep.com

Holistic and Systematic Approach
Manager
Joined: 09 Apr 2013
Posts: 191
Location: United States
Concentration: Finance, Economics
GMAT 1: 710 Q44 V44
GMAT 2: 740 Q48 V44
GPA: 3.1
WE: Sales (Mutual Funds and Brokerage)
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

20 Apr 2013, 21:37
1
The key word is "inclusive"

Just like there are three integers between two and four, inclusive (2,3,4), there are twelve five minute intervals between 9:00 and 9:55, inclusive.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9699
Location: Pune, India
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

20 Apr 2013, 21:42
2
voodoochild wrote:
Karishma,
Do we have to assume that as soon as the clock ticks 9:00:00, 30 tickets are sold? That sounds bizarre. Realistically, I would think that 30 tickets will be sold between 9:00 and 9:05. Isn't it? Your above example of sending message(s) is different because a message can be sent at a particular time "x." However, sending 30 messages exactly at "x" moment doesn't sound realistic. Do we have to assume that the GMAT thinks that such a case is realistic? I am still not clear ...how will I distinguish between the two facts:-

fact a- tickets sold between 9:00 and 9:05
fact b- tickets sold at 9:00 and 9:05.

Thanks

It's not unrealistic at all. Think of a batch job - a machine takes first 30 requests and processes them together at some particular time. It could take a machine a few secs or a minute to spew out the 30 tickets.
But anyway, we don't have to assume that it must sell all the tickets at that instant. What we do know is that selling 30 tickets takes less than or maximum 5 mins since after 9:00, tickets will be sold at 9:05 again and so on. It's clear from the question that 30 tickets will be sold at 5:55 (whatever time it may take after that) since the word 'inclusive' is given in the question. I can understand a bit of confusion and it may take a few secs extra to understand the question. Please note that it is a GMAT Prep question (according to the tag) and hence it's official. I can only try to explain what the question setter might have imagined when he made this question.
Take solace in the fact that every live GMAT question is closely monitored and if it causes undue confusion, it is removed.
_________________
Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
Director
Joined: 17 Dec 2012
Posts: 626
Location: India
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

20 Apr 2013, 21:56
1
dave785 wrote:
The key word is "inclusive"

Just like there are three integers between two and four, inclusive (2,3,4), there are twelve five minute intervals between 9:00 and 9:55, inclusive.

Dear Dave785,

That exactly is the source of confusion. When you say 30 tickets are sold every five minutes it suggests that interval should be taken but when you see the word "inclusive" it suggests that a point of time should be taken. A GMAT question should not give room for such an ambiguity.
_________________
Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravnatestprep.com

Holistic and Systematic Approach
Director
Joined: 17 Dec 2012
Posts: 626
Location: India
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

20 Apr 2013, 22:17
Actually the word "inclusive" doesn't seem to help much. It might still mean the intervals starting from the interval 9:00 to 9:05 and ending at the interval 5:50 to 5:55.
_________________
Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravnatestprep.com

Holistic and Systematic Approach
Manager
Joined: 09 Apr 2013
Posts: 191
Location: United States
Concentration: Finance, Economics
GMAT 1: 710 Q44 V44
GMAT 2: 740 Q48 V44
GPA: 3.1
WE: Sales (Mutual Funds and Brokerage)
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

20 Apr 2013, 22:34
I can definitely see how there might have been some confusion.

This actually is due to a very subtle English language issue that would be difficult even for the best testers at sentence correction.

If it was saying "a museum was selling admission tickets..." then this would imply that each interval counts.

It didn't say that though... it said "a museum sold..."

The difference between the past tense and the past perfect tense (if that's what it's called?) is that the former implies an action that happened at only one specific point in time.

This means that the tickets were sold AT and ONLY at 9:00 for that interval, and that the last tickets were sold AT and ONLY AT 5:55 for that 5 minute interval that would have ended at 6:00. This gives us 108.

If the question had instead asked "a museum was selling..." then we would have had 107 because the interval from 5:55 to 6:00 would not have counted.
Director
Joined: 17 Dec 2012
Posts: 626
Location: India
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

20 Apr 2013, 23:42
dave785 wrote:
I can definitely see how there might have been some confusion.

This actually is due to a very subtle English language issue that would be difficult even for the best testers at sentence correction.

If it was saying "a museum was selling admission tickets..." then this would imply that each interval counts.

It didn't say that though... it said "a museum sold..."

The difference between the past tense and the past perfect tense (if that's what it's called?) is that the former implies an action that happened at only one specific point in time.

This means that the tickets were sold AT and ONLY at 9:00 for that interval, and that the last tickets were sold AT and ONLY AT 5:55 for that 5 minute interval that would have ended at 6:00. This gives us 108.

If the question had instead asked "a museum was selling..." then we would have had 107 because the interval from 5:55 to 6:00 would not have counted.

Dear Dave,

Why should not the statement "a museum sold admission tickets to 30 people every five minutes", be taken to assume, that the period of selling is a 5 minute interval?
_________________
Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravnatestprep.com

Holistic and Systematic Approach
Manager
Joined: 09 Apr 2013
Posts: 191
Location: United States
Concentration: Finance, Economics
GMAT 1: 710 Q44 V44
GMAT 2: 740 Q48 V44
GPA: 3.1
WE: Sales (Mutual Funds and Brokerage)
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

21 Apr 2013, 00:11
SravnaTestPrep wrote:
dave785 wrote:
I can definitely see how there might have been some confusion.

This actually is due to a very subtle English language issue that would be difficult even for the best testers at sentence correction.

If it was saying "a museum was selling admission tickets..." then this would imply that each interval counts.

It didn't say that though... it said "a museum sold..."

The difference between the past tense and the past perfect tense (if that's what it's called?) is that the former implies an action that happened at only one specific point in time.

This means that the tickets were sold AT and ONLY at 9:00 for that interval, and that the last tickets were sold AT and ONLY AT 5:55 for that 5 minute interval that would have ended at 6:00. This gives us 108.

If the question had instead asked "a museum was selling..." then we would have had 107 because the interval from 5:55 to 6:00 would not have counted.

Dear Dave,

Why should not the statement "a museum sold admission tickets to 30 people every five minutes", be taken to assume, that the period of selling is a 5 minute interval?

It means the opposite - that every five minutes, 30 tickets are sold. This is not an ongoing process over the five minutes, but rather somethign that happens at one specific time. Therefore, we include all 30 tickets sold at 9:00, since that is one of the specific times, and we also include 30 tickets sold at 5:55, because that is another of the specific times.

Let me rephrase the question:

If someone rings a bell every five minutes, starting at 9:00 and ending at 5:55, how many times will the bell have rung?

To answer that correctly, i don't even need to use the word "Inclusive..." including it is just a courtesy to prevent any mix ups.

Compare that to "someone plays a song with a duration of five minutes, starting at 9:00 and ending at 5:55, how many times will the song have played?"

That answer will be one less than the bell ringing one, because the song has duration.

Past tense "sold" implies an act that happened once and that has no duration.
Past perfect "was selling" implies an act that was ongoing in the past and that had duration.

That's where the mixup is coming in.

As for why it should mean what it means... that's a pretty deep question. The manhattan sentence correction guide does a great job of breaking down the difference between past tense and past perfect (or is it past imperfect?) tense... but I think this is one question that is pretty biased towards US-born English speakers. That's just how we interpret that wording... but while it might be biased, it's also the grammatically correct way to interpret it.
Director
Joined: 17 Dec 2012
Posts: 626
Location: India
Re: For a certain art exhibit, a museum sold admission tickets  [#permalink]

Show Tags

21 Apr 2013, 01:04
What about this? The company sold 30 cars every 30 days. Should it be taken to mean that the company sold the cars at a particular point of time only?
_________________
Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravnatestprep.com

Holistic and Systematic Approach
Re: For a certain art exhibit, a museum sold admission tickets   [#permalink] 21 Apr 2013, 01:04

Go to page    1   2   3    Next  [ 41 posts ]

Display posts from previous: Sort by

For a certain art exhibit, a museum sold admission tickets

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

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