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If n is a positive integer, what is the value of n? (1) When

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If n is a positive integer, what is the value of n? (1) When [#permalink]

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New post 04 Sep 2008, 04:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is a positive integer, what is the value of n?
(1) When n is divided by 3, the remainder is 2.
(2) When n^2 is divided by 3, the remainder is 1.

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Re: remainder problem [#permalink]

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New post 04 Sep 2008, 04:31
E

arjtryarjtry wrote:
If n is a positive integer, what is the value of n?
(1) When n is divided by 3, the remainder is 2.
(2) When n^2 is divided by 3, the remainder is 1.


n could be anything from this set and satisfy Statement (1) {2, 5, 8, 11...} Because we have multiple possible values for n, #1 is insufficient.

n could be 2 (2^2 = 4 / 3 = remainder of 1), 4, 8...again multiple values so insufficient.

together, if we have 2, then n as 2 / 3 = remainder of 2, 2^2 = 4 / 3 is remainder of 1.

5 doesn't work for each statement so it's out. but 8 does. 8/3 = remainder of 2. 8^2 = 64; 64/3 = remainder of 1. Because we have multiple possible values when the statements are combined...both together are insufficient, so Answer E.
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Re: remainder problem [#permalink]

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New post 04 Sep 2008, 09:07
(1) When n is divided by 3, the remainder is 2.

n = 3K+2 and n can be 2,5,8,11,14.. Insuff

(2) When n^2 is divided by 3, the remainder is 1.

n^2 = 3k+1 and n can be 5, 8 Insuff

Taken together n =5,8 Insuff

E

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Re: remainder problem [#permalink]

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New post 05 Sep 2008, 21:03
arjtryarjtry wrote:
If n is a positive integer, what is the value of n?
(1) When n is divided by 3, the remainder is 2.
(2) When n^2 is divided by 3, the remainder is 1.


(1) 3p+2 is the number p can take any integer values >0 INSUFFI
(2)3q^2+1 is the number again q can be any values +ve as well as -ve
hence n can have multiple values !! INSUFFI

(1) and (2)

3(3p+2)^2 +1 can be any value since p can take any vale +ve or negative hence multiple n hence INSUFFI

IMO E
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Re: remainder problem   [#permalink] 05 Sep 2008, 21:03
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If n is a positive integer, what is the value of n? (1) When

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