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

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In a certain game there are 8 steps, referred to as step 1, [#permalink] New post 02 Dec 2018, 08:40
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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

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Re: In a certain game there are 8 steps, referred to as step 1, [#permalink] New post 03 Dec 2018, 07:59
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There are 8 slots for the numbers.
Numbers cannot occur consecutively.
We want the greatest sum of the number.
We know this occurs when we have maximum number of 5's
Hence if the number occurred in the following pattern the sum would be greatest
54535251 These digits add to 30
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Re: In a certain game there are 8 steps, referred to as step 1,   [#permalink] 03 Dec 2018, 07:59
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In a certain game there are 8 steps, referred to as step 1,

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