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# when n is devided by 4, the remiander is 3. the remainder

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SVP
Joined: 28 Dec 2005
Posts: 1543

Kudos [?]: 185 [0], given: 2

when n is devided by 4, the remiander is 3. the remainder [#permalink]

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05 Oct 2007, 15:07
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when n is devided by 4, the remiander is 3. the remainder when 2n is devided by 4 is

a] 1
b] 2
c] 3
d] 6
e] 4

I am sort of on the right track here, but cant quite understand the last step. Ill post the OA in a bit. Oh, post your explanations as well

Kudos [?]: 185 [0], given: 2

VP
Joined: 08 Jun 2005
Posts: 1143

Kudos [?]: 254 [0], given: 0

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05 Oct 2007, 15:28
n/4 = y & remiander(3)

This can be expressed as:

4*y+3 = n

and

2*n = 2*(4*y+3) = 8*y+6

Easy to test ---> assume y=2

See bluebird's post

Last edited by KillerSquirrel on 05 Oct 2007, 15:54, edited 1 time in total.

Kudos [?]: 254 [0], given: 0

Manager
Joined: 18 Apr 2007
Posts: 120

Kudos [?]: 5 [0], given: 0

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05 Oct 2007, 15:42
I'm getting B....

n/4 = Q+3
Therefore, n=7,11,15,19,etc.

Using these values, 2n = 14,22,30,38,etc.
each of these values divided by 4 leaves a remainder of 2

Kudos [?]: 5 [0], given: 0

Director
Joined: 22 Aug 2007
Posts: 566

Kudos [?]: 73 [0], given: 0

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05 Oct 2007, 15:43
pmenon wrote:
when n is devided by 4, the remiander is 3. the remainder when 2n is devided by 4 is

a] 1
b] 2
c] 3
d] 6
e] 4

I am sort of on the right track here, but cant quite understand the last step. Ill post the OA in a bit. Oh, post your explanations as well

B,

remainder is also multiplied by 2, so 6/4=1 plus remainder 2/4.

EDITTED*

Last edited by IrinaOK on 05 Oct 2007, 17:10, edited 1 time in total.

Kudos [?]: 73 [0], given: 0

VP
Joined: 08 Jun 2005
Posts: 1143

Kudos [?]: 254 [0], given: 0

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05 Oct 2007, 15:49
Bluebird wrote:
I'm getting B....

n/4 = Q+3
Therefore, n=7,11,15,19,etc.

Using these values, 2n = 14,22,30,38,etc.
each of these values divided by 4 leaves a remainder of 2

Yes you are correct !

Kudos [?]: 254 [0], given: 0

VP
Joined: 09 Jul 2007
Posts: 1098

Kudos [?]: 144 [0], given: 0

Location: London

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05 Oct 2007, 16:02
pmenon wrote:
when n is devided by 4, the remiander is 3. the remainder when 2n is devided by 4 is

a] 1
b] 2
c] 3
d] 6
e] 4

I am sort of on the right track here, but cant quite understand the last step. Ill post the OA in a bit. Oh, post your explanations as well

the best strategy to apply is picking numbers to save time;

7 fine remainder 3, ----> 14 remainder is 2
15 fine remainder 3, ----> 30 remainder is 2
19 fine remainder 3, -----> 38 remainder is 2

so B

Kudos [?]: 144 [0], given: 0

SVP
Joined: 28 Dec 2005
Posts: 1543

Kudos [?]: 185 [0], given: 2

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05 Oct 2007, 18:46
OA is B

I was approaching the question using formulas, but got stuck at this point:

n=4q+3

2n=8q+6

from here, without picking numbers, how do you figure out that the remainder is 2 ?

Kudos [?]: 185 [0], given: 2

VP
Joined: 09 Jul 2007
Posts: 1098

Kudos [?]: 144 [0], given: 0

Location: London

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06 Oct 2007, 00:03
pmenon wrote:
OA is B

I was approaching the question using formulas, but got stuck at this point:

n=4q+3

2n=8q+6

from here, without picking numbers, how do you figure out that the remainder is 2 ?

i would not even attempt it with formulaes. now try to divide the final equation by four. u will not have chance to determine it then.

better use picking numbers as u save time for other questions

Kudos [?]: 144 [0], given: 0

06 Oct 2007, 00:03
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