It is currently 10 Dec 2017, 17:19

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Status: GMAT Preperation
Joined: 04 Feb 2010
Posts: 101

Kudos [?]: 192 [0], given: 15

Concentration: Social Entrepreneurship, Social Entrepreneurship
GPA: 3
WE: Consulting (Insurance)
One week a certain truck rental lot had a total of 20 trucks, all of [#permalink]

### Show Tags

10 Sep 2010, 04:44
6
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:24) correct 32% (01:48) wrong based on 168 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?

(A) 18
(B) 16
(C) 12
(D) 8
(E) 4

OPEN DISCUSSION OF THIS QUESTION IS HERE: one-week-a-certain-truck-rental-lot-had-a-total-of-20-trucks-168062.html
[Reveal] Spoiler: OA

Kudos [?]: 192 [0], given: 15

Manager
Joined: 06 Apr 2010
Posts: 141

Kudos [?]: 968 [0], given: 15

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.

If you like explanation, consider for kudos.

Kudos [?]: 968 [0], given: 15

Math Expert
Joined: 02 Sep 2009
Posts: 42529

Kudos [?]: 135156 [4], given: 12664

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

### Show Tags

10 Sep 2010, 08:22
4
KUDOS
Expert's post
1
This post was
BOOKMARKED
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

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.

Hope it's clear.
_________________

Kudos [?]: 135156 [4], given: 12664

Manager
Joined: 06 Aug 2010
Posts: 217

Kudos [?]: 232 [2], given: 5

Location: Boston
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
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

Kudos [?]: 232 [2], given: 5

Senior Manager
Joined: 20 Jul 2010
Posts: 253

Kudos [?]: 103 [0], given: 9

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

### Show Tags

11 Sep 2010, 14:06
I did same - count them. Though I started with 10 10....10 rented out and 5 returned so count is 15. Not good.

12 rented and 6 returned. So 8+6 on saturday morning = 24...not good

14 ans then 16....

16 rented out - so 4 + 8 on saturday morning.. good answer
_________________

If you like my post, consider giving me some KUDOS !!!!! Like you I need them

Kudos [?]: 103 [0], given: 9

Intern
Joined: 25 Oct 2010
Posts: 42

Kudos [?]: 160 [0], given: 13

WE 1: 3 yrs
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?

A.18
B.16
C.12
D.8
E.4

Kudos [?]: 160 [0], given: 13

Retired Moderator
Joined: 02 Sep 2010
Posts: 792

Kudos [?]: 1229 [0], given: 25

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

### Show Tags

03 Nov 2010, 00:46
merging similar topics
_________________

Kudos [?]: 1229 [0], given: 25

Non-Human User
Joined: 09 Sep 2013
Posts: 14955

Kudos [?]: 287 [0], given: 0

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.
_________________

Kudos [?]: 287 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42529

Kudos [?]: 135156 [0], given: 12664

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

### Show Tags

22 Mar 2015, 05:54
vanidhar wrote:
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?

(A) 18
(B) 16
(C) 12
(D) 8
(E) 4

OPEN DISCUSSION OF THIS QUESTION IS HERE: one-week-a-certain-truck-rental-lot-had-a-total-of-20-trucks-168062.html
_________________

Kudos [?]: 135156 [0], given: 12664

Re: One week a certain truck rental lot had a total of 20 trucks, all of   [#permalink] 22 Mar 2015, 05:54
Display posts from previous: Sort by