It is currently 03 Jul 2020, 16:45
My Tests

The 4th of July -

The Independence Day FULL Access to the Tests !!


Close

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
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.

In a certain game there are 8 steps, referred to as step 1,

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 11934
Followers: 250

Kudos [?]: 2967 [0], given: 11172

CAT Tests
In a certain game there are 8 steps, referred to as step 1, [#permalink] New post 29 Jun 2020, 08:43
Expert's post
00:00

Question Stats:

40% (02:11) correct 60% (00:54) wrong based on 5 sessions
In a certain game there are 8 steps, referred to as step 1, step 2, and so on with the final step being step 8. The steps are played one after the other. In each step a score of 1, 2, 3, 4, or 5 is obtained. Andrea played the game, getting at least one score of each of 1, 2, 3, 4, and 5, and never getting the same score in consecutive steps. What is the greatest possible score that Andrea could have gotten?



A. 28

B. 29

C. 30

D. 36

E. 40
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 11934
Followers: 250

Kudos [?]: 2967 [0], given: 11172

CAT Tests
Re: In a certain game there are 8 steps, referred to as step 1, [#permalink] New post 29 Jun 2020, 08:43
Expert's post
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

1 KUDOS received
Moderator
Moderator
Joined: 16 Sep 2019
Posts: 180
Followers: 1

Kudos [?]: 165 [1] , given: 5

Re: In a certain game there are 8 steps, referred to as step 1, [#permalink] New post 29 Jun 2020, 09:39
1
This post received
KUDOS
This is really a great question.

We have to think very logically to solve this question.
We want the maximum score, and we want at least one of each 1,2,3,4, and 5. Also, we can't have the same score in consecutive steps.

To maximize the score we have to maximize the score of 5.
The way to do that would be

Step 1 - 5
Step 2 - 4
Step 3 - 5
Step 4 - 3
Step 5 - 5
Step 6 - 2
Step 7 - 5
Step 8 - 1

In this way, each of 1,2,3,4, and 5 is used at least once and we have the maximum no of 5s.

The total score becomes = \(5 \times 4 + 4 + 3 + 2 + 1 = 30\)

OA, C
_________________

If you like my solution, do give kudos!

Re: In a certain game there are 8 steps, referred to as step 1,   [#permalink] 29 Jun 2020, 09:39
Display posts from previous: Sort by

In a certain game there are 8 steps, referred to as step 1,

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.