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What is the remainder when the positive integer n is divided

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What is the remainder when the positive integer n is divided [#permalink] New post 10 May 2009, 20:09
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A
B
C
D
E

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35% (02:43) correct 65% (00:55) wrong based on 65 sessions
What is the remainder when the positive integer n is divided by 2?
(1) When n is divided by 5, the remainder is an odd integer.
(2) When n is divided by 10, the remainder is an odd integer.
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Re: DS: Reminder [#permalink] New post 11 May 2009, 02:41
reply2spg wrote:
What is the remainder when the positive integer n is divided by 2?
(1) When n is divided by 5, the remainder is an odd integer.
(2) When n is divided by 10, the remainder is an odd integer.


(1) Let n = 8, remainder 3.....so, 8/2 = remainder = 0
Let n = 16, remainder 1....so 16/2 = remainder = 0
Suff
(2) n = can be 10,30,50,70,90,110,130 etc
All these numbers are divisible by 2, remainder = 0
Suff

D

P.S > I hope i'm not missing something
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Re: DS: Reminder [#permalink] New post 11 May 2009, 07:42
I think its B.

From stat 1, n could be 6 or 11. Both numbers give different remainders when divided by 2.Insuff.

From stat 2, n can be 11, 21, 31, etc. In all cases, it gives a remainder of 1 when divided by 2. Suff.
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Re: DS: Reminder [#permalink] New post 11 May 2009, 08:12
n is +ive int, rem when n/2?

1)n/5, rem is odd

test numbers 13,21,28

13/2 rem=1, 21/2 rem=1, 28/2 rem=0, insuff

2)n/10, rem is odd

test numbers 13, 21, 27

13/2 rem=1, 21/2 rem=1, 27/2 rem =1, suff

B
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Re: DS: Reminder [#permalink] New post 11 May 2009, 08:54
bigtreezl wrote:
1)n/5, rem is odd

test numbers 13,21,28

13/2 rem=1, 21/2 rem=1, 28/2 rem=0, insuff


B


I knew I was missing something.
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Re: DS: Reminder [#permalink] New post 11 May 2009, 20:38
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reply2spg wrote:
What is the remainder when the positive integer n is divided by 2?
(1) When n is divided by 5, the remainder is an odd integer.
(2) When n is divided by 10, the remainder is an odd integer.


Without testing numbers:

First, there are only two remainders possible when you divide n by 2: 0 and 1. The remainder is 0 if n is even, and 1 if n is odd. So the question is really just asking "is n odd?"

Remember the quotient/remainder definition. When we divide n by d, we have n = qd + r, where r is the remainder and q the quotient.

From S1, n = 5q + r, where r is odd. So n = 5q + odd, and n could be even if q is odd, and n could be odd if q is even. Insufficient.

From S2, n = 10q + r where r is odd. So n = even + odd = odd. Sufficient.
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Re: DS: Reminder [#permalink] New post 14 May 2009, 01:26
IanStewart wrote:
reply2spg wrote:
What is the remainder when the positive integer n is divided by 2?
(1) When n is divided by 5, the remainder is an odd integer.
(2) When n is divided by 10, the remainder is an odd integer.


Without testing numbers:

First, there are only two remainders possible when you divide n by 2: 0 and 1. The remainder is 0 if n is even, and 1 if n is odd. So the question is really just asking "is n odd?"

Remember the quotient/remainder definition. When we divide n by d, we have n = qd + r, where r is the remainder and q the quotient.

From S1, n = 5q + r, where r is odd. So n = 5q + odd, and n could be even if q is odd, and n could be odd if q is even. Insufficient.

From S2, n = 10q + r where r is odd. So n = even + odd = odd. Sufficient.


Really really love any thorough explaination like this.

Thanks IanStewart
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Re: DS: Reminder [#permalink] New post 28 Sep 2009, 21:50
1) n = 5q + odd

^This doesn't tell us whether q is divisible by 2 or not. So this info is insufficient.

2) n = 10q + odd,
= 2(5q) + odd

^We can see that the remainder is odd. So this info is sufficient. B
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Re: DS: Reminder [#permalink] New post 02 Oct 2009, 16:12
Very nicely explained, thanks Ian

IanStewart wrote:
reply2spg wrote:
What is the remainder when the positive integer n is divided by 2?
(1) When n is divided by 5, the remainder is an odd integer.
(2) When n is divided by 10, the remainder is an odd integer.


Without testing numbers:

First, there are only two remainders possible when you divide n by 2: 0 and 1. The remainder is 0 if n is even, and 1 if n is odd. So the question is really just asking "is n odd?"

Remember the quotient/remainder definition. When we divide n by d, we have n = qd + r, where r is the remainder and q the quotient.

From S1, n = 5q + r, where r is odd. So n = 5q + odd, and n could be even if q is odd, and n could be odd if q is even. Insufficient.

From S2, n = 10q + r where r is odd. So n = even + odd = odd. Sufficient.
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Re: DS: Reminder [#permalink] New post 02 Oct 2009, 22:31
Yeah B

(1)Gives n=odd and even both
(2)Gives n=odd

Therefore,B is correct.
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Re: DS: Reminder [#permalink] New post 04 Oct 2011, 08:35
sondenso wrote:
IanStewart wrote:
reply2spg wrote:
What is the remainder when the positive integer n is divided by 2?
(1) When n is divided by 5, the remainder is an odd integer.
(2) When n is divided by 10, the remainder is an odd integer.


Without testing numbers:

First, there are only two remainders possible when you divide n by 2: 0 and 1. The remainder is 0 if n is even, and 1 if n is odd. So the question is really just asking "is n odd?"

Remember the quotient/remainder definition. When we divide n by d, we have n = qd + r, where r is the remainder and q the quotient.

From S1, n = 5q + r, where r is odd. So n = 5q + odd, and n could be even if q is odd, and n could be odd if q is even. Insufficient.

From S2, n = 10q + r where r is odd. So n = even + odd = odd. Sufficient.


Really really love any thorough explaination like this.

Thanks IanStewart


Very Good Explanation.
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Re: DS: Reminder [#permalink] New post 05 Oct 2011, 11:53
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Ans is B

As per statement one the number can be either odd or even. but when u divide by 10 you will get odd integer only when you divide a odd integer

So Ans is B
Re: DS: Reminder   [#permalink] 05 Oct 2011, 11:53
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