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

 It is currently 22 Jul 2018, 17:09

### 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

# A total of n trucks and cars are parked in a lot. If the num

Author Message
TAGS:

### Hide Tags

Intern
Joined: 24 Oct 2009
Posts: 6
A total of n trucks and cars are parked in a lot. If the num  [#permalink]

### Show Tags

Updated on: 09 Oct 2013, 02:03
1
8
00:00

Difficulty:

35% (medium)

Question Stats:

76% (01:39) correct 24% (01:34) wrong based on 436 sessions

### HideShow timer Statistics

A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

I decided to use 100 for the total of trucks + cars. So n = 100.
Number of cars = 1/4 # of trucks, then there are 25 cars and 75 trucks
2/3 of the trucks are pickups, so 2/3 of 75 is 50.

Therefore, the number of pickups (50) in terms of n would be (1/2)n, which equals 100 * 1/2 = 50, the number of pickups. = C

However, this is not the correct answer- the correct answer is D, 8/15. Can someone explain???

Originally posted by cronkey7 on 24 Oct 2009, 17:11.
Last edited by Bunuel on 09 Oct 2013, 02:03, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
GMAT Club Legend
Joined: 16 Oct 2010
Posts: 8132
Location: Pune, India
Re: A total of n trucks and cars  [#permalink]

### Show Tags

06 Jan 2011, 22:30
5
ajit257 wrote:
A total of n trucks and cars are parked in a slot. If the number of cars is 1/4 the number
of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked
in the slot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

Try and use ratios where possible. They make your life very easy.

No of cars : No of trucks = 1:4 (Since for every 4 trucks, there is 1 car)
So total cars and trucks (n) in ratio terms = 1+4 = 5
Now out of 4 trucks, 2/3 are pickup (p) i.e. 4*2/3 = 8/3 are pick up.
So p/n = (8/3)/5 or p = 8/15 n
_________________

Karishma
Private Tutor for GMAT
Contact: bansal.karishma@gmail.com

##### General Discussion
Director
Joined: 01 Apr 2008
Posts: 827
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: Picking numbers on algebra question- Something is wrong!  [#permalink]

### Show Tags

25 Oct 2009, 02:20
2
2
n = t+c.
c=1/4 *t
so the total number of vehicles in terms of t is n=5/4 *t
Now, 2/3 * t are pickups

Q asks: 2/3 * t = n * F ( F is the required fraction )
2/3 * t = 5/4 * F => F = 8/15.
Manager
Joined: 28 Aug 2010
Posts: 234
A total of n trucks and cars  [#permalink]

### Show Tags

05 Jan 2011, 18:19
2
A total of n trucks and cars are parked in a slot. If the number of cars is 1/4 the number
of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked
in the slot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

_________________

Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html
-------------------------------------------------------------------------------------------------
Ajit

Intern
Status: Sophomore
Affiliations: President of Student Associoation
Joined: 09 Dec 2010
Posts: 35
Schools: HBS 2+2, IESE YTP
Re: A total of n trucks and cars  [#permalink]

### Show Tags

05 Jan 2011, 18:23
D.
x+x/4=n => x=4n/5 => 2x/3=8n/15
Retired Moderator
Joined: 02 Sep 2010
Posts: 775
Location: London
Re: A total of n trucks and cars  [#permalink]

### Show Tags

06 Jan 2011, 00:31
2
ajit257 wrote:
A total of n trucks and cars are parked in a slot. If the number of cars is 1/4 the number
of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked
in the slot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

Let there be c cars and t trucks and p pickup trucks
n = t+c
t=4c
So n = 5c
(2/3)t = p
p = (2/3)t = (2/3)(4c) = (8/3)c = (8/3)(n/5) = (8/15)n

_________________
Senior Manager
Joined: 11 May 2011
Posts: 355
Re: Quants - FDP - Plz help on this  [#permalink]

### Show Tags

17 Sep 2012, 20:57
SreeViji wrote:
Hi,

Can anyone help me in resolving this problem? I know it is simple. But I'm missing a small step somewhere.....

A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?
(A) 1n/6
(B) 5n/12
(C) 1n/2
(D) 8n/15
(E) 11n/12

Lets consider the number of trucks = x
Hence, total number of cars is = x/4
from the question we know, x+x/4 = n = > x = 4n/5
Number of trucks that are pickups = (2/3)4n/5 = 8n/15.

Cheers!
_________________

-----------------------------------------------------------------------------------------
What you do TODAY is important because you're exchanging a day of your life for it!
-----------------------------------------------------------------------------------------

Manager
Joined: 26 Feb 2012
Posts: 104
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)
Re: A total of n trucks and cars are parked in a lot. If the num  [#permalink]

### Show Tags

21 Mar 2014, 07:36
Lets say Total truck is 12. So car is 3.
Now pickups are =2/3rd of 12= 8
so total fraction is 8/15 ..ans
Current Student
Joined: 23 May 2013
Posts: 189
Location: United States
Concentration: Technology, Healthcare
Schools: Stanford '19 (M)
GMAT 1: 760 Q49 V45
GPA: 3.5
Re: A total of n trucks and cars are parked in a lot. If the num  [#permalink]

### Show Tags

28 May 2014, 06:43
1
cronkey7 wrote:
A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

I decided to use 100 for the total of trucks + cars. So n = 100.
Number of cars = 1/4 # of trucks, then there are 25 cars and 75 trucks
2/3 of the trucks are pickups, so 2/3 of 75 is 50.

Therefore, the number of pickups (50) in terms of n would be (1/2)n, which equals 100 * 1/2 = 50, the number of pickups. = C

However, this is not the correct answer- the correct answer is D, 8/15. Can someone explain???

C = Cars, T = Trucks, and P = Pickups.

$$C + T = n$$

$$C = \frac{1}{4} T$$
$$\frac{2}{3}T = P$$

We'd like to write everything in terms of Pickups, since that's what the question is asking us about. Thus,

$$T = \frac{3}{2}P$$,
$$C = \frac{1}{4}T = \frac{1}{4} * \frac{3}{2} P = \frac{3}{8}P$$

Therefore,

$$n = C + T = \frac{3}{8} P + \frac{3}{2} P = \frac{30}{16}P = \frac{15}{8}P.$$

Solving for P, we see that $$P = \frac{8}{15} n.$$

Retired Moderator
Joined: 29 Oct 2013
Posts: 272
Concentration: Finance
GPA: 3.7
WE: Corporate Finance (Retail Banking)
Re: A total of n trucks and cars are parked in a lot. If the num  [#permalink]

### Show Tags

21 Dec 2015, 09:03
1
This is all variables in answer choices question. So lets pick smart numbers. Let n=15 {why 15? Since cars=1/4*trucks, total trucks+cars should be divisible by 5 (1+4). Additionally since we have another fraction 2/3 to work with, the total should be divisible by 3}
n=15
cars+trucks= 15
cars+4*cars = 15 -> cars=3 so trucks=12
pick-up trucks = 12*2/3 = 8
Now plug 15 in answer choices. Only D gives 8. Ans D
_________________

My journey V46 and 750 -> http://gmatclub.com/forum/my-journey-to-46-on-verbal-750overall-171722.html#p1367876

VP
Joined: 07 Dec 2014
Posts: 1039
A total of n trucks and cars are parked in a lot. If the num  [#permalink]

### Show Tags

25 Mar 2016, 12:26
let t=number of trucks
n=t+(t/4)=5t/4
let p=number of pickups
t=3p/2
substituting, n=5(3p/2)/4
p=8/15 n
Manager
Joined: 30 Apr 2013
Posts: 90
Re: A total of n trucks and cars are parked in a lot. If the num  [#permalink]

### Show Tags

18 Oct 2017, 09:17
Number of trucks = x
Number of cars = 1/4x

Therefore, x +1/4x = n ( Total number of vehicles parked)
X= 4n/5

We are given 2/3 of x are pick up trucks.
So 2/3 *4n/5 = 8/15n
Director
Joined: 13 Mar 2017
Posts: 610
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: A total of n trucks and cars are parked in a lot. If the num  [#permalink]

### Show Tags

18 Oct 2017, 11:43
cronkey7 wrote:
A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

I decided to use 100 for the total of trucks + cars. So n = 100.
Number of cars = 1/4 # of trucks, then there are 25 cars and 75 trucks
2/3 of the trucks are pickups, so 2/3 of 75 is 50.

Therefore, the number of pickups (50) in terms of n would be (1/2)n, which equals 100 * 1/2 = 50, the number of pickups. = C

However, this is not the correct answer- the correct answer is D, 8/15. Can someone explain???

t+c = n
c = t/4

t+t/4 = n
t = 4/5 n

c = 2/3 t = 2/3 * 4/5 = 8/15 n

_________________

CAT 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2973
Location: United States (CA)
Re: A total of n trucks and cars are parked in a lot. If the num  [#permalink]

### Show Tags

22 Oct 2017, 16:54
1
cronkey7 wrote:
A total of n trucks and cars are parked in a lot. If the number of cars is 1/4 the number of trucks, and 2/3 of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?

A. 1/6 n
B. 5/12 n
C. 1/2 n
D. 8/15 n
E. 11/12 n

We can let the number of cars = c and number of trucks = t; thus:

c + t = n

and

c = (1/4)t

Thus:

(1/4)t + t = n

t + 4t = 4n

5t = 4n

t = 4n/5

Since 2/3 of the trucks are pickups, there are (2/3)(4n/5) = 8n/15 pickups in the parking lot.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A total of n trucks and cars are parked in a lot. If the num &nbs [#permalink] 22 Oct 2017, 16:54
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.