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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

One week a certain truck rental lot had a total of 20 trucks, all of [#permalink]

Show Tags

10 Sep 2010, 04:44

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

69% (02:18) correct
31% (01:48) wrong based on 150 sessions

HideShow timer Statistics

One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?

Re: One week a certain truck rental lot had a total of 20 trucks, all of [#permalink]

Show Tags

10 Sep 2010, 07:21

vanidhar wrote:

truck rental lot had 20 trucks, all in on monday. if 50% of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week, and if there were at least 12 trucks on the lot on saturday morning, what is the greatest number of different trucks that could have been rented out during the week? a.18 b.16 c.12 d.8 e.4

Problem states that at least 12 trucks should be on the lot on saturday morning. This means remaining 8 trucks have not been returned to the lot, which is 50% of the 16 trucks which have been rented out. This clearly shows that remaining 4 trucks (not rented) on the lot and 50% returned trucks of 16 (which is 8) equal to number 12 (minimum number required on saturday morning). Henc I will go with option B.

If you take 13 trucks applies the same logic above it shows the maximum number as 14 which is not in option hence our number 16 is confirmed maximum number trucks which could have been rented out during week.

truck rental lot had 20 trucks, all in on monday. if 50% of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week, and if there were at least 12 trucks on the lot on saturday morning, what is the greatest number of different trucks that could have been rented out during the week? a.18 b.16 c.12 d.8 e.4

First how to deal with "at least" and "greatest number" part of the question.

General rule for such kind of problems: to maximize one quantity, minimize the others; to minimize one quantity, maximize the others.

So to maximize the # of trucks rented we should minimize # of trucks at the lot on Saturday. We are told that # of trucks at the lot on Saturday was at least 12, so to minimize it, we should consider this number to be 12 (minimum possible).

Next, the # of trucks at the lot on Saturday, 12, equals to {the # of trucks not rented} plus {half of the # of trucks rented} --> \((20-R)+\frac{1}{2}R=12\) --> \(R=16\).

Or: as "50% of the trucks that were rented out during the week were returned" then another 50% of the trucks that were rented were not returned --> not returned = 20-12=8 trucks, which is 50% of the trucks that were rented --> # of truck were rented = 2*8 = 16.

Re: One week a certain truck rental lot had a total of 20 trucks, all of [#permalink]

Show Tags

10 Sep 2010, 11:14

2

This post received KUDOS

I just tested each number in my head..

A) 18 trucks rented means 2 were left and 9 were returned - 11 trucks - no good B) 16 trucks rented means 4 were left and 8 were returned - 12 trucks - good

Re: One week a certain truck rental lot had a total of 20 trucks, all of [#permalink]

Show Tags

03 Nov 2010, 00:42

One week a certain truck rental lot had a total 20 trucks ,all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week ,and if there were at least 12 trucks on that lot that Sunday morning, what is the greatest number of different trucks that could have been rented out during that week?

Re: One week a certain truck rental lot had a total of 20 trucks, all of [#permalink]

Show Tags

21 Mar 2015, 18:28

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...