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# Which of the following statements is true with respect to remainders?

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Joined: 12 Aug 2015
Posts: 2550
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Which of the following statements is true with respect to remainders?  [#permalink]

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Updated on: 20 Jul 2016, 10:55
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45% (medium)

Question Stats:

50% (01:07) correct 50% (01:12) wrong based on 13 sessions

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Which of the following statements is true with respect to remainders?
1) Remainder is always positive.
2) Remainder cannot be negative.
3) Remainder is always less than the divisor.
4) Remainder is always greater than the divisor.

A) 1,2,3
B) 2,3
C)1,4
D)2,4
E) only 1

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Originally posted by stonecold on 20 Jul 2016, 09:18.
Last edited by stonecold on 20 Jul 2016, 10:55, edited 1 time in total.
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Joined: 12 Sep 2015
Posts: 4214
Re: Which of the following statements is true with respect to remainders?  [#permalink]

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20 Jul 2016, 10:22
Top Contributor
stonecold wrote:
Which of the following statements is true with respect to remainders?
1) Remainder is always positive.
2) Remainder cannot be negative.
3) Remainder is always less than the divisor.
4) Remainder is always greater than the divisor.

A) 1,2,3
B) 2,3
C)1,4
D)2,4
E) only A

Not sure what "only A" means for answer choice E. I think you mean "E) only 1"

1) Remainder is always positive - NOT TRUE. The remainder can also be zero.
ELIMINATE A, B and E

Note: Now that we've narrowed the correct answer down to B or D, we need not check statement 2, since both answer choices state that statement 2 is true (which is it)

3) Remainder is always less than the divisor. TRUE. If positive integer K is divided by D, we know that 0 < remainder < D

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Re: Which of the following statements is true with respect to remainders?   [#permalink] 20 Jul 2016, 10:22
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# Which of the following statements is true with respect to remainders?

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