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What is the remainder when -100 is divided by -30?

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What is the remainder when -100 is divided by -30?

by Max@Math Revolution » Sat Mar 12, 2016 5:32 am
What is the remainder when -100 is divided by -30?

A. -10
B. 0
C. 10
D. 15
E. 20


* A solution will be posted in two days.
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by GMATGuruNY » Sat Mar 12, 2016 5:38 am
This problem is not relevant to the GMAT.
On the GMAT, remainder problems are constrained to POSITIVE INTEGERS.
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by Max@Math Revolution » Mon Mar 14, 2016 5:00 pm
What is the remainder when -100 is divided by -30?

A. -10
B. 0
C. 10
D. 15
E. 20


-> N,q,q,r are integers. p=divisor q=quotient, and r=remainder from N=pq+r, in which 0≤r<|p| is derived. That is, the remainder has no negative numbers. Thus, -100=(-30)(4)+20 -> 0≤20<|-30|=30. E is the answer.
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