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

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stonecold
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Which of the following statements is true with respect to remainders? [#permalink] New post   Updated on: 20 Jul 2016, 10:55
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A
B
C
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E

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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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B

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

Answer:
Show Spoiler
B


RELATED VIDEO:
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v12345
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Re: Which of the following statements is true with respect to remainders? [#permalink] New post   14 Sep 2021, 19:51
1) Remainder is always positive.. Incorrect can be zero
2) Remainder cannot be negative.. Correct
3) Remainder is always less than the divisor.. Correct
4) Remainder is always greater than the divisor.. Incorrect less than divisor.



2 and 3 are correct.
Hence, OA is (B).
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Re: Which of the following statements is true with respect to remainders? [#permalink] New post   14 Sep 2021, 23:13
BrentGMATPrepNow wrote:
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

Answer:
Show Spoiler
B


RELATED VIDEO:


The Division Theorem states that for any integers a and b , there is a unique q and r where:

b×q+r=a and

0≤r<|b| .

This number r iswhat we usually mean by the “remainder”, and by definition it is not negative.

what if negative integer K is divided by negative integer D then remainder will be greater then D. Please correct if this wrong.

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Re: Which of the following statements is true with respect to remainders? [#permalink]
14 Sep 2021, 23:13
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