GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 21 Jan 2020, 17:30

### 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

# The map above shows the trails through a wilderness area. If travel is

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 04 Sep 2017
Posts: 291
The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

21 Sep 2019, 03:18
6
00:00

Difficulty:

15% (low)

Question Stats:

74% (01:12) correct 26% (01:33) wrong based on 203 sessions

### HideShow timer Statistics

The map above shows the trails through a wilderness area. If travel is in the direction of the arrows, how many routes along the marked trails are possible from point A to point B ?

A. 11
B. 18
C. 54
D. 108
E. 432

PS24831.01

Attachment:

2019-09-21_1417.png [ 28.12 KiB | Viewed 2383 times ]
VP
Joined: 20 Jul 2017
Posts: 1240
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

21 Sep 2019, 04:15
4
gmatt1476 wrote:

The map above shows the trails through a wilderness area. If travel is in the direction of the arrows, how many routes along the marked trails are possible from point A to point B ?

A. 11
B. 18
C. 54
D. 108
E. 432

PS24831.01

Attachment:
2019-09-21_1417.png

From point A, 2 options and then 3 options at the start of each of the 3 loops/junctions. From the end of the last loop/junction, 1 way to reach point B

So, total number of ways = 2*3*3*3*1 = 54

IMO Option C

Pls Hit kudos if you like the solution

Posted from my mobile device
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5701
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

21 Sep 2019, 05:09
1
1
1
total possible ways From A to B ; 2*3*3*3*1 ; 54
IMO C

gmatt1476 wrote:

The map above shows the trails through a wilderness area. If travel is in the direction of the arrows, how many routes along the marked trails are possible from point A to point B ?

A. 11
B. 18
C. 54
D. 108
E. 432

PS24831.01

Attachment:
2019-09-21_1417.png
Senior Manager
Joined: 05 Jul 2018
Posts: 460
Location: India
Concentration: General Management, Technology
GMAT 1: 600 Q47 V26
GRE 1: Q162 V149
GPA: 3.6
WE: Information Technology (Consulting)
Re: The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

31 Oct 2019, 11:29
= (3*3*3) +(3*3*3)=54
Intern
Joined: 11 Aug 2018
Posts: 9
Re: The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

31 Oct 2019, 17:05
A to B, going through top path 1*3*3*3*1 = 27
A to B, going through bottom path 1*3*3*3*1 = 27
Total path = 27 + 27 = 54
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9088
Location: United States (CA)
Re: The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

03 Nov 2019, 20:44
1
gmatt1476 wrote:

The map above shows the trails through a wilderness area. If travel is in the direction of the arrows, how many routes along the marked trails are possible from point A to point B ?

A. 11
B. 18
C. 54
D. 108
E. 432

PS24831.01

Attachment:
2019-09-21_1417.png

We see that the diagram has a horizontal line symmetry (if we draw a horizontal line through A and B). Therefore, if we find the number of routes from A to B in the upper half of the diagram, we can just multiply that by 2 to obtain the total number of routes from A to B in the entire diagram.

In the upper half of the diagram, counting each point starting from A and ending at B, we have 1, 3, 3, 3 and 1 routes between each pair of consecutive points, therefore, the number of routes is 1 x 3 x 3 x 3 x 1 = 27. Multiplying this by 2, we have a total of 54 routes from A to B.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Director
Joined: 24 Oct 2016
Posts: 586
GMAT 1: 670 Q46 V36
GMAT 2: 690 Q47 V38
Re: The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

04 Nov 2019, 06:56
gmatt1476 wrote:

The map above shows the trails through a wilderness area. If travel is in the direction of the arrows, how many routes along the marked trails are possible from point A to point B ?

A. 11
B. 18
C. 54
D. 108
E. 432

PS24831.01

Attachment:
2019-09-21_1417.png

Total Routes = 2*[3*3*3] = 54

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15958
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

07 Dec 2019, 17:10
Hi All,

We're told that the map above shows the trails through a wilderness area and travel must be done in the direction of the arrows. We're asked for the total number of routes along the marked trails that are possible from point A to point B. This is a variation on a Permutation question and requires just a bit of Multiplication to solve.

At the first 'step' on the trail, we have 2 options (go "up" or go "down"). After making that choices, we then have 3 additional 'steps' (with 3 options at each step) before we take the final path to point B. Thus, the total number of possible routes is:

(2)(3)(3)(3) = 54 different routes

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Intern
Joined: 03 Jan 2020
Posts: 17
Location: United States
GMAT 1: 720 Q56 V40
Re: The map above shows the trails through a wilderness area. If travel is  [#permalink]

### Show Tags

03 Jan 2020, 16:08
MBA HOUSE KEY CONCEPT: combinatorics multiplication principle

A to B upper line (5 steps) = 1 x 3 x 3 x 3 x 1 = 27

or (or means +)

A to B bottom line (5 steps) = 1 x 3 x 3 x 3 x 1 = 27

27 + 27 = 54

C
Re: The map above shows the trails through a wilderness area. If travel is   [#permalink] 03 Jan 2020, 16:08
Display posts from previous: Sort by