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# If n is a prime number greater than 3, what is the remainder

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If n is a prime number greater than 3, what is the remainder [#permalink]

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24 Jan 2005, 11:01
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If n is a prime number greater than 3, what is the remainder when n^2 is divided by 12?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 5

Last edited by vprabhala on 24 Jan 2005, 12:14, edited 1 time in total.
Director
Joined: 21 Sep 2004
Posts: 610
Followers: 1

Kudos [?]: 23 [0], given: 0

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24 Jan 2005, 12:15
i am sorry. i was trying to copy from a pdf.. anyways.. edited it now..
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24 Jan 2005, 13:00
B it is...

look at the unit digits of n^2 they are 5, 9, 1, 9 ...etc

if you look at the 25/12 remainder is 1 if u look at 49/12 remainder is 1...
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