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12 Mar 2016, 06:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
36% (00:48) correct
64%
(00:47)
wrong
based on 618
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What is the remainder when -100 is divided by -30?
A. -10
B. 0
C. 10
D. 15
E. 20
A. -10
B. 0
C. 10
D. 15
E. 20
12 Mar 2016, 06:37
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MathRevolution
Hi,
If we know this RULE, we can answer the answer easily..
RULE- REMAINDER is always positive....
here \(-100 = -30*3-10\)so remainder is -10, which is not VALID answer
\(-100= -30*4+20..\)
Now th eremainder is 20, a positive quantity
ans 20
E
General Discussion
14 Mar 2016, 17:59
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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.
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.
