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In putting together a last-minute vacation package, a traveler must

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Status: Math Tutor
Joined: 12 Aug 2017
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WE: Education (Education)
In putting together a last-minute vacation package, a traveler must [#permalink]

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New post 29 Aug 2017, 13:32
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Difficulty:

  95% (hard)

Question Stats:

42% (03:04) correct 58% (03:47) wrong based on 38 sessions

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In putting together a last-minute vacation package, a traveler must choose a departing flight, a hotel, a rental car, and a return flight. The number of departing flights is 1 greater than the number of hotels, the number of hotels is 2 more than the number of rental cars, and there are as many return flights as departing flights. If 1 more departing flight was available, there would be 1176 total possibilities from which to choose. How many departing flights are there?
A. 5
B. 6
C. 7
D. 8
E. 9
[Reveal] Spoiler: OA

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Abhishek Parikh
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Kudos [?]: 29 [0], given: 13

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Kudos [?]: 29 [0], given: 13

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Re: In putting together a last-minute vacation package, a traveler must [#permalink]

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New post 29 Aug 2017, 13:38
Let the number of departing flights be
Option A:
5
One more departing flight will give total departing and returning flights as 6 each
Number of hotels is one less than number of departing flights=6-1 = 5
Number of Rental cars = 5-2 = 3
Thus total combinations = 6*6*5*3 which can not be equal to 1176 (multiplication by 5 always ends with either 5 or 0)

Option B
6
One more departing flight will give total departing and returning flights as 7 each
Number of hotels is one less than number of departing flights=7-1 = 6
Number of Rental cars = 6-2 = 4
Thus total combinations = 7*7*6*4=1176

Thus answer is option B
_________________

Abhishek Parikh
Math Tutor
Whatsapp- +919983944321
Mobile- +971529685639
Website: http://www.holamaven.com

Kudos [?]: 29 [0], given: 13

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Joined: 09 Mar 2017
Posts: 36

Kudos [?]: 2 [1], given: 23

In putting together a last-minute vacation package, a traveler must [#permalink]

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New post 03 Sep 2017, 05:59
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HolaMaven wrote:
Let the number of departing flights be
Option A:
5
One more departing flight will give total departing and returning flights as 6 each
Number of hotels is one less than number of departing flights=6-1 = 5
Number of Rental cars = 5-2 = 3
Thus total combinations = 6*6*5*3 which can not be equal to 1176 (multiplication by 5 always ends with either 5 or 0)

Option B
6
One more departing flight will give total departing and returning flights as 7 each
Number of hotels is one less than number of departing flights=7-1 = 6
Number of Rental cars = 6-2 = 4
Thus total combinations = 7*7*6*4=1176

Thus answer is option B



Sorry, if this is the answer, then the question is misworded. It says that departing flights=hotels +1, but then later on we're given that (d+1) * hotels * rentals * return=1176. I.e. If D+1-7, then H should be 5, not 6. The question doesn't say that D+1 is one greater than hotels, it says that D is. Further, return flights would equal 6, since return flights=departing flights, not return flights=departing flights +1.

Kudos [?]: 2 [1], given: 23

Intern
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Joined: 14 Aug 2017
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Kudos [?]: 1 [0], given: 7

In putting together a last-minute vacation package, a traveler must [#permalink]

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New post 08 Sep 2017, 04:29
I hope people will not spend time on that one as I did to understand why I was wrong..
question is wrong...

Kudos [?]: 1 [0], given: 7

In putting together a last-minute vacation package, a traveler must   [#permalink] 08 Sep 2017, 04:29
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