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If r, s, and t are all positive integers, what is the remainder of 2^p

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If r, s, and t are all positive integers, what is the remainder of 2^p  [#permalink]

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New post 23 Oct 2014, 00:40
12
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A
B
C
D
E

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  25% (medium)

Question Stats:

74% (01:37) correct 26% (02:10) wrong based on 587 sessions

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Re: If r, s, and t are all positive integers, what is the remainder of 2^p  [#permalink]

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New post 23 Oct 2014, 00:55
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Re: If r, s, and t are all positive integers, what is the remainder of 2^p  [#permalink]

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New post 24 Oct 2014, 00:52
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Bunuel wrote:

Tough and Tricky questions: Remainders.



If r, s, and t are all positive integers, what is the remainder of 2^p/10, if p = rst?

(1) s is even
(2) p = 4t


Sol: The questions becomes what is the remainder when 2^(rst)/10 ?

St 1 says: s is even that means r*s*t=even

Now 2^(Even number) can end is 4 or 6..So we have to remainders possible. A and D ruled out

St 2 says p=4*t or p is a multiple of 4 so we will have expression of the form 2^4 or 2^8 or 2^12...all end up in 6..

So remainder will be 6..

Ans is B
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Re: If r, s, and t are all positive integers, what is the remainder of 2^p  [#permalink]

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New post 25 Sep 2017, 17:41
Bunuel wrote:

Tough and Tricky questions: Remainders.



If r, s, and t are all positive integers, what is the remainder of 2^p/10, if p = rst?

(1) s is even
(2) p = 4t


Bunuel how do we know whether or not the question reads 2^(p/10) pr (2^p) /10?
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Re: If r, s, and t are all positive integers, what is the remainder of 2^p  [#permalink]

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New post 25 Sep 2017, 21:11
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Re: If r, s, and t are all positive integers, what is the remainder of 2^p  [#permalink]

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Re: If r, s, and t are all positive integers, what is the remainder of 2^p   [#permalink] 31 Dec 2018, 09:45
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