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04 Sep 2008, 04:15
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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) 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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04 Sep 2008, 04:31
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E
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.
arjtryarjtry
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.
04 Sep 2008, 09:07
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(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
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
