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# When 777 is divided by positive integer n , the remainder is

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Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
When 777 is divided by positive integer n , the remainder is [#permalink]

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26 Oct 2008, 02:55
When 777 is divided by positive integer n , the remainder is 77. How many possibilities are there for n?

a) 2
b) 3
c) 4
d) 5
e) 6

Thanks

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kris

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Joined: 30 Jun 2008
Posts: 1007
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 03:14
krishan wrote:
When 777 is divided by positive integer n , the remainder is 77. How many possibilities are there for n?

a) 2
b) 3
c) 4
d) 5
e) 6

Thanks

n has to be greater than 77 and it should divide 700 completely leaving a reminder of 77

n can be - 100, 350,700.
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Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 03:38
sorry mate, but that's a wrong answer.
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kris

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Joined: 30 Jun 2008
Posts: 1007
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 03:42
krishan wrote:
sorry mate, but that's a wrong answer.

I knew I'd be wrong
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VP
Joined: 30 Jun 2008
Posts: 1007
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 03:44
I think I missed 175
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 04:37
here are the factors: 700, 350, 175, 100, 140.

I factored 700 as
: 700 x 1
: 350 x 2
: 175 x 4
: 35 x 20
: 7 x 100
: 1 x 700 (this completes the cycle)

The numbers which are multiple of 700 and greater than 77 are: 700, 350, 175, 100.

One I didn't get was 140. I am not sure if this is the right way to arrive at a solution.
_________________

kris

VP
Joined: 30 Jun 2008
Posts: 1007
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 04:49
krishan wrote:
here are the factors: 700, 350, 175, 100, 140.

I factored 700 as
: 700 x 1
: 350 x 2
: 175 x 4
: 35 x 20
: 7 x 100
: 1 x 700 (this completes the cycle)

The numbers which are multiple of 700 and greater than 77 are: 700, 350, 175, 100.

One I didn't get was 140. I am not sure if this is the right way to arrive at a solution.

I agree, there has to be a better way ....
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Manager
Joined: 23 Aug 2008
Posts: 62
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 05:29
amitdgr wrote:
krishan wrote:
here are the factors: 700, 350, 175, 100, 140.

I factored 700 as
: 700 x 1
: 350 x 2
: 175 x 4
: 35 x 20
: 7 x 100
: 1 x 700 (this completes the cycle)

The numbers which are multiple of 700 and greater than 77 are: 700, 350, 175, 100.

One I didn't get was 140. I am not sure if this is the right way to arrive at a solution.

I agree, there has to be a better way ....

I used the same method: multiples of 700 greater than 77.
However, I think you missed 140 * 5. Therefore answer is 700, 350, 175, 140, 100.
Director
Joined: 14 Aug 2007
Posts: 695
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 07:20
700 = 5*5*2*2*7
Factors greater than 77 are 100, 140, 175, 350, 700

Manager
Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Re: Possibilities of n : Problem Solving [#permalink]

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26 Oct 2008, 10:52
Yes, D is the answer. Thanks a lot.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

kris

Re: Possibilities of n : Problem Solving   [#permalink] 26 Oct 2008, 10:52
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# When 777 is divided by positive integer n , the remainder is

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