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# When positive integer n is divided by 3, the remainder is 2

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Manager
Joined: 20 Oct 2011
Posts: 123

Kudos [?]: 33 [0], given: 11

Concentration: Sustainability, General Management
GMAT 1: 710 Q49 V38
GPA: 3.98
Re: How to proceed? Plug in numbers or algebra? When positive [#permalink]

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16 Nov 2011, 15:52
can some one correct me if im wrong!!

I dont think we need statements to find the reminder, question itself provide enough info..here how i solved

n=3q+2
t=5q+3
---------
nt=15q+6

R=6

That is wrong on many many levels. You are lucky that this approach got you on the right answer, but that is purely by chance.

First the 2 'q's are NOT the same.

So you can write n=3q1 + 2 and t=5q2 + 3. But you cannot assume that q1=q2.

Also even if you did multiply the above as stated, you'd have (3q+2)(5q+3) = 15q^2 + 9q + 10q + 6 = 15q^2 + 19 q + 6, which is a quadratic and you have no idea whether 19 q is divisible by 15. However, you CANNOT do this at all, so this approach is incorrect.

The previous posts are really good and helpful. Study those closely. They do elaborate how to answer the question.

Kudos [?]: 33 [0], given: 11

Intern
Joined: 08 Jun 2010
Posts: 2

Kudos [?]: [0], given: 3

Re: How to proceed? Plug in numbers or algebra? When positive [#permalink]

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17 Nov 2011, 20:30
alinomoto wrote:
can some one correct me if im wrong!!

I dont think we need statements to find the reminder, question itself provide enough info..here how i solved

n=3q+2
t=5q+3
---------
nt=15q+6

R=6

That is wrong on many many levels. You are lucky that this approach got you on the right answer, but that is purely by chance.

First the 2 'q's are NOT the same.

So you can write n=3q1 + 2 and t=5q2 + 3. But you cannot assume that q1=q2.

Also even if you did multiply the above as stated, you'd have (3q+2)(5q+3) = 15q^2 + 9q + 10q + 6 = 15q^2 + 19 q + 6, which is a quadratic and you have no idea whether 19 q is divisible by 15. However, you CANNOT do this at all, so this approach is incorrect.

The previous posts are really good and helpful. Study those closely. They do elaborate how to answer the question.

Sorry i did not mention that i took q1=2 and q2=1, with this both equation will give the same sum.and hence we can multiply...try it out..

Kudos [?]: [0], given: 3

Re: How to proceed? Plug in numbers or algebra? When positive   [#permalink] 17 Nov 2011, 20:30

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# When positive integer n is divided by 3, the remainder is 2

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