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What is the remainder when the positive integer

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VP
Joined: 18 May 2008
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What is the remainder when the positive integer [#permalink]  13 Nov 2008, 02:30
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Director
Joined: 10 Sep 2007
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Re: GMATPREP-remainder [#permalink]  13 Nov 2008, 07:45
Statement 1: Tells us that x = 3k where k = 1, 3, 5, 7, ...(Any odd number)
Any such number when divided by 6 will yield a remainder of 3.

Statement 2: Tells us that x = 12k + 3 where k = Any integer.
Again any such number when divided by 6 will yield a remainder of 3.

Therefore, both statements independently answer the question and answer D.
VP
Joined: 18 May 2008
Posts: 1296
Followers: 14

Kudos [?]: 191 [0], given: 0

Re: GMATPREP-remainder [#permalink]  13 Nov 2008, 20:44
Actually here in statement 1, I was confused abt 3. (Remainder when 3 is divided by 6). Can u clarify this?
abhijit_sen wrote:
Statement 1: Tells us that x = 3k where k = 1, 3, 5, 7, ...(Any odd number)
Any such number when divided by 6 will yield a remainder of 3.

Statement 2: Tells us that x = 12k + 3 where k = Any integer.
Again any such number when divided by 6 will yield a remainder of 3.

Therefore, both statements independently answer the question and answer D.
Director
Joined: 14 Aug 2007
Posts: 734
Followers: 8

Kudos [?]: 124 [0], given: 0

Re: GMATPREP-remainder [#permalink]  13 Nov 2008, 21:05
ritula wrote:
Actually here in statement 1, I was confused abt 3. (Remainder when 3 is divided by 6). Can u clarify this?
abhijit_sen wrote:
Statement 1: Tells us that x = 3k where k = 1, 3, 5, 7, ...(Any odd number)
Any such number when divided by 6 will yield a remainder of 3.

Statement 2: Tells us that x = 12k + 3 where k = Any integer.
Again any such number when divided by 6 will yield a remainder of 3.

Therefore, both statements independently answer the question and answer D.

I will give a try

when numerator is less than denominator follow this
3/6 = 0 (quotient) + 3 (remainder)

hope it helps
VP
Joined: 18 May 2008
Posts: 1296
Followers: 14

Kudos [?]: 191 [0], given: 0

Re: GMATPREP-remainder [#permalink]  13 Nov 2008, 21:16
ok that means in such cases, we can take remainder whether the quotient is less than 0. Thanks for clarification
alpha_plus_gamma wrote:
ritula wrote:
Actually here in statement 1, I was confused abt 3. (Remainder when 3 is divided by 6). Can u clarify this?
abhijit_sen wrote:
Statement 1: Tells us that x = 3k where k = 1, 3, 5, 7, ...(Any odd number)
Any such number when divided by 6 will yield a remainder of 3.

Statement 2: Tells us that x = 12k + 3 where k = Any integer.
Again any such number when divided by 6 will yield a remainder of 3.

Therefore, both statements independently answer the question and answer D.

I will give a try

when numerator is less than denominator follow this
3/6 = 0 (quotient) + 3 (remainder)

hope it helps
Re: GMATPREP-remainder   [#permalink] 13 Nov 2008, 21:16
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