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CEO
Joined: 21 Jan 2007
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Location: New York City
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When positive integer N is divided by 4, the remainder is 3. [#permalink]
 08 Nov 2007, 08:14
Question Stats:
0% (00:00) correct
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When positive integer N is divided by 4, the remainder is 3. Which of the following CAN BE a remainder of n/12?
2
40
82
10
11
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Director
Joined: 13 Dec 2006
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Location: Indonesia
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11 is the answer.... say n is 23, then 23/4 will have remainder 3 and 23/12 will have remainder 11.
Amardeep
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Manager
Joined: 01 Nov 2007
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It is 11
the remainder of n/12 has to be less than 12 and odd
we have only one option = 11
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SVP
Joined: 05 Jul 2006
Posts: 1564
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When positive integer N is divided by 4, the remainder is 3. Which of the following CAN BE a remainder of n/12?
2
40
82
10
11
n = 4x+3
n = 12y+b
4x+3 = 12y+b
4x+3-12y = b ie: even+odd-even = odd
b is odd .............11 is the answer
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Intern
Joined: 02 Dec 2007
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Re: PS Remainder - EVEN vs ODD [#permalink]
02 Dec 2007, 08:17
The number is 4N + 3
so 4N + 3/12
N = 1 then remainder 7
N= 2 then remainder 11
N = 3 then remainder 3
N= 4 remainder 7
N= 5 remainder 11.
So the possible list of remianders are 3,7,11.
So the ans is E.
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SVP
Joined: 21 Jul 2006
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wow, interesting to see each person with a completely different approach to reach to the same answer. that's really cool.
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SVP
Joined: 28 Dec 2005
Posts: 1612
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Got E
given the stem, N must be an odd number.
Looking at n/12, the only way to get an odd number for n is to have an odd number as a remainder, because 12k always gives you an even number, and even + odd = odd
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