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# Is 70/7^n an integer?

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Math Expert
Joined: 02 Aug 2009
Posts: 5890

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03 May 2016, 04:48
2
1
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Difficulty:

55% (hard)

Question Stats:

54% (00:50) correct 46% (00:56) wrong based on 54 sessions

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Is $$\frac{70}{7^n}$$ an integer, if n is an integer?
(1) n is a positive integer.
(2) n<2

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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Re: Is 70/7^n an integer? [#permalink]

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03 May 2016, 06:24
1
St1: n = 1, 2,....
70/7 --> integer
70/7^2 --> not an integer
Not Sufficient

St2: n = 1, 0, -1, -2, ....
When n is 0 or 1, 70/7^n is an integer
When n is negative, 70/7^-n = 70*7^n is an integer
Sufficient

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Re: Is 70/7^n an integer? [#permalink]

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24 Aug 2017, 07:22
Hello from the GMAT Club BumpBot!

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Re: Is 70/7^n an integer?   [#permalink] 24 Aug 2017, 07:22
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