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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 25 Feb 2011, 07:20
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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: please explain the answer how the authore arrives to that [#permalink] New post 25 Feb 2011, 07:40
naaga 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


What is the remainder when the positive integer n is divided by 2?

Question basically asks whether n is odd or even: if it's odd then the remainder will be 1 and if it's even then the remainder will be zero.

(1) When n is divided by 5, the remainder is an odd integer --> n=5q+odd, so n could be odd (1, 3, 11, 13, 21, 23, ...) as well as even (6, 8, 16, 18, ... ). Not sufficient.

(2) When n is divided by 10, the remainder is an odd integer --> n=10p+odd=even+odd=odd. Sufficient.

Answer: B.

P. S. naaga please always tag your questions.
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Re: please explain the answer how the authore arrives to that [#permalink] New post 25 Feb 2011, 11:15
Answer should be B.

If divided by 10 ,and the remainder is odd, then remainder will always be 1 when divided by 2
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Re: please explain the answer how the authore arrives to that [#permalink] New post 25 Feb 2011, 11:23
Clear B. 2) tells me precisely that n is odd. Hence reminder is 1 when n is divided by 2.
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Re: please explain the answer how the authore arrives to that [#permalink] New post 30 Apr 2011, 18:35
answer is b

1. in suff
no will be like 6,8,11,13

2. suff - no will be always odd-11,13 15 , 17


so b is the answer
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Re: please explain the answer how the authore arrives to that [#permalink] New post 30 Apr 2011, 20:03
Clear B, as 10 is a multiple of 2.Since the remainder is an odd number meaning it is always 1.
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Re: please explain the answer how the authore arrives to that [#permalink] New post 30 Apr 2011, 20:59
1. Not sufficient

n could be even or odd

2. Sufficient
n is even +odd => n is odd

Answer is B.
Re: please explain the answer how the authore arrives to that   [#permalink] 30 Apr 2011, 20:59
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