It is currently 18 Nov 2017, 03:40

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
Manager
Joined: 28 Jul 2004
Posts: 135

Kudos [?]: 76 [0], given: 2

Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
When 777 is divided by positive integer n , the remainder is [#permalink]

### Show Tags

26 Oct 2008, 02:55
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
_________________

kris

Kudos [?]: 76 [0], given: 2

VP
Joined: 30 Jun 2008
Posts: 1032

Kudos [?]: 728 [0], given: 1

Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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.
_________________

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

Kudos [?]: 728 [0], given: 1

Manager
Joined: 28 Jul 2004
Posts: 135

Kudos [?]: 76 [0], given: 2

Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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

kris

Kudos [?]: 76 [0], given: 2

VP
Joined: 30 Jun 2008
Posts: 1032

Kudos [?]: 728 [0], given: 1

Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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

I knew I'd be wrong
_________________

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

Kudos [?]: 728 [0], given: 1

VP
Joined: 30 Jun 2008
Posts: 1032

Kudos [?]: 728 [0], given: 1

Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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

Kudos [?]: 728 [0], given: 1

Manager
Joined: 28 Jul 2004
Posts: 135

Kudos [?]: 76 [0], given: 2

Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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

Kudos [?]: 76 [0], given: 2

VP
Joined: 30 Jun 2008
Posts: 1032

Kudos [?]: 728 [0], given: 1

Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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

Kudos [?]: 728 [0], given: 1

Manager
Joined: 23 Aug 2008
Posts: 63

Kudos [?]: 55 [0], given: 0

Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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.

Kudos [?]: 55 [0], given: 0

Director
Joined: 14 Aug 2007
Posts: 726

Kudos [?]: 220 [0], given: 0

Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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

Kudos [?]: 220 [0], given: 0

Manager
Joined: 28 Jul 2004
Posts: 135

Kudos [?]: 76 [0], given: 2

Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Re: Possibilities of n : Problem Solving [#permalink]

### Show Tags

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

kris

Kudos [?]: 76 [0], given: 2

Re: Possibilities of n : Problem Solving   [#permalink] 26 Oct 2008, 10:52
Display posts from previous: Sort by

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

Moderator: chetan2u

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.