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co801dw
What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5
(2) n is a multiple of 12

* this is a question fromt the GMATprep test 1. Can someone please kindly provide solution and explanation?

Thanks :-D

Check our question banks (viewforumtags.php) for more questions on remainders.

DS questions on remainders: search.php?search_id=tag&tag_id=198
PS questions on remainders: search.php?search_id=tag&tag_id=199

Hope it helps.
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Thanks a lot for the resources! Will do!
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(1).

N=5A N can be 5,10,15,20,25 .... Now these values have different remainders when divided by 6 hence Insufficient

(2).

N= 12B = > N => 6 (2B) = > N = 6C .... Hence Remainder when N is divided by '6' is '0' => Sufficient

Hence (B) !!
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I need some clarification on the first statement...

I know the numbers go like this: 3, 9, 15.....

But when 3 is divided by 6...how is that a remainder of 3?
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take 5 and 10 as n and we can can easily discard statement 1
Now as per statement 2 => N=12p => 6x => remainder will be zero
hence B
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Statement 1:
Options for n = 5, 10, 15, 20...
When 10 is divided by 6, the remainder is 4.
When 15 is divided by 6, the remainder is 3.
Since the remainder can be different values, INSUFFICIENT.

Statement 2:
Options for n = 12, 24, 36, 48...
When 12 is divided by 6, the remainder is 0.
When 24 is divided by 6, the remainder is 0.
When 36 is divided by 6, the remainder is is 0.
Since the remainder is the same in every case, SUFFICIENT.

The correct answer is B.
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co801dw
What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5
(2) n is a multiple of 12

Target question: What is the remainder when the positive integer n is divided by 6?

Statement 1: n is multiple of 5
Let's TEST some values.
There are several values of n that satisfy statement 1. Here are two:
Case a: n = 10. In this case, the answer to the target question is the remainder is 4 when n is divided by 6
Case b: n = 15. In this case, the answer to the target question is the remainder is 3 when n is divided by 6
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: n is a multiple of 12
If n is a multiple of 12, then we can write: n = 12k for some integer k
If n = 12k, we can also write: n = (6)(2)k, which tells us n is a multiple of 6
If n is a multiple of 6, then n divided by 6 will leave remainder 0
So, the answer to the target question is the remainder is 0 when n is divided by 6
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
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co801dw
What is the remainder when the positive integer n is divided by 6?

(1) n is multiple of 5
(2) n is a multiple of 12

(1) \(n= 5 \ the \ remainder \ is \ (\frac{5}{6}) =5\)

\(n= 10 \ the \ remainder \ is \ (\frac{10}{6})=4 \) Insufficient

(2) \(n \ can \ be \ 12, 24, 36... \ divided \ 6 \ remainder \ is \ 0\). Sufficient.

The answer is B
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Sol.
(1) n is multiple of 5

n=5 Remainder when divided by 6 is 5
n=10 Remainder when divided by 6 is 4
We are getting two different values hence statement (1) is not sufficient.

(2) n is a multiple of 12
Since n is multiple of 12. It is also multiple of 6. Hence remainder after dividing by 12 is 0.
Statement (2) is sufficient.
Answer : B
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