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# When positive integer N is divided by 4, the remainder is 3.

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CEO
Joined: 21 Jan 2007
Posts: 2734

Kudos [?]: 1045 [0], given: 4

Location: New York City
When positive integer N is divided by 4, the remainder is 3. [#permalink]

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08 Nov 2007, 08:14
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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

Kudos [?]: 1045 [0], given: 4

Director
Joined: 13 Dec 2006
Posts: 506

Kudos [?]: 243 [0], given: 0

Location: Indonesia

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08 Nov 2007, 08:17
11 is the answer.... say n is 23, then 23/4 will have remainder 3 and 23/12 will have remainder 11.

Amardeep

Kudos [?]: 243 [0], given: 0

Manager
Joined: 01 Nov 2007
Posts: 68

Kudos [?]: 9 [0], given: 0

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08 Nov 2007, 10:18
It is 11

the remainder of n/12 has to be less than 12 and odd

we have only one option = 11

Kudos [?]: 9 [0], given: 0

SVP
Joined: 05 Jul 2006
Posts: 1750

Kudos [?]: 430 [0], given: 49

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09 Nov 2007, 11:11
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

Kudos [?]: 430 [0], given: 49

Intern
Joined: 02 Dec 2007
Posts: 11

Kudos [?]: 1 [0], given: 0

Re: PS Remainder - EVEN vs ODD [#permalink]

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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.

Kudos [?]: 1 [0], given: 0

SVP
Joined: 21 Jul 2006
Posts: 1512

Kudos [?]: 1005 [0], given: 1

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02 Dec 2007, 11:38
wow, interesting to see each person with a completely different approach to reach to the same answer. that's really cool.

Kudos [?]: 1005 [0], given: 1

SVP
Joined: 28 Dec 2005
Posts: 1545

Kudos [?]: 178 [0], given: 2

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15 Dec 2007, 11:58
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

Kudos [?]: 178 [0], given: 2

15 Dec 2007, 11:58
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