What is the sum of the remainders of $6$ consecutive integers that are each divided by $6?$

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BTGmoderatorLU: Moderator; Posts: 2554; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Sat Jul 22, 2023 7:24 am

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Source: Princeton Review

What is the sum of the remainders of $6$ consecutive integers that are each divided by $6?$

A. $0$
B. $1$
C. $10$
D. $15$
E. $16$

The OA is D

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Source: Beat The GMAT — Problem Solving | Sat Jul 22, 2023 7:24 am

Asimo3089: Junior | Next Rank: 30 Posts; Posts: 20; Joined: Mon Jun 05, 2023 7:34 am

Re: What is the sum of the remainders of $6$ consecutive integers that are each divided by $6?$

by Asimo3089 » Tue Jul 25, 2023 9:15 am

D. Each number after first give different remainder one more than before it. Start 0, end 5. Add all, get 15.

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