What is the sum of the remainders of \(6\) consecutive integers that are each divided by \(6?\)

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BTGmoderatorLU: Moderator; Posts: 2534; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

What is the sum of the remainders of \(6\) consecutive integers that are each divided by \(6?\)

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: 18; 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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