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What is the remainder when the positive integer n is divided

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Joined: 08 Oct 2007
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What is the remainder when the positive integer n is divided [#permalink]

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30 Nov 2008, 07:12
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What is the remainder when the positive integer n is divided by the positive integer k, where k>1?

1) n= (k+1)^3
2) k = 5

happy to see your detailed explanation...

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Manager
Joined: 23 Nov 2008
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30 Nov 2008, 07:18
Should be A

What is the remainder when the positive integer n is divided by the positive integer k, where k>1?

1) n= (k+1)^3
2) k = 5

(k+1)^3 = k^3 + 3k^2 + 3k +1
When divided by K, and since k>1, remainder = 1

2) doesnt give us sufficient information, since n could be anything

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Manager
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30 Nov 2008, 07:26
Quote:
What is the remainder when the positive integer n is divided by the positive integer k, where k>1?

1) n= (k+1)^3
2) k = 5

2) k=5 gives us no info about n, Insuff.
1) n=(k+1)^3 Given k>1, n/k always gives 1 as a reminder, Suff

A

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Re: interesting inequality   [#permalink] 30 Nov 2008, 07:26
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