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

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Director
Joined: 21 Sep 2004
Posts: 607

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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.

Kudos [?]: 35 [0], given: 0

Director
Joined: 21 Sep 2004
Posts: 607

Kudos [?]: 35 [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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Current Student
Joined: 28 Dec 2004
Posts: 3354

Kudos [?]: 316 [0], given: 2

Location: New York City
Schools: Wharton'11 HBS'12

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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...

Kudos [?]: 316 [0], given: 2

24 Jan 2005, 13:00
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