Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 04 Jul 2015, 00:52

### 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

# i know its piece of a cake......... For which n is the

Author Message
TAGS:
Director
Joined: 03 May 2007
Posts: 888
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 73 [0], given: 7

i know its piece of a cake......... For which n is the [#permalink]  17 Aug 2007, 20:40
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 1 sessions
i know its piece of a cake.........

For which n is the remainder largest when the number 817,380 is divided by n?

(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
Manager
Joined: 15 Aug 2007
Posts: 70
Followers: 2

Kudos [?]: 5 [0], given: 0

Re: PS: Reminder [#permalink]  17 Aug 2007, 21:11
chiya wrote:
Fistail wrote:
i know its piece of a cake.........

For which n is the remainder largest when the number 817,380 is divided by n?

(A) 4
(B) 5
(C) 6
(D) 8
(E) 9

Answer is D... Reminder is 4..

Short cut Method...

Dividing by 2
-All even numbers are divisible by 2. E.g., all numbers ending in 0,2,4,6 or 8

Dividing by 3
-If the sum is divisible by 3, so is the number

Dividing by 4
-If the last two digits in number is divisible by 4?
If so, the number is too!
for 817,380 380 is divisible by 4, reminder=0

Dividing by 5
-Numbers ending in a 5 or a 0 are always divisible by 5.
for 817,380 last digit it 0, reminder =0

Dividing by 6
-If the Number is divisible by 2 and 3 it is divisible by 6 also.
for 817,380 last digit it 2, divisible by 2
and 8+1+7+3+8+0=27, divisible by 3
Reminder=0

Dividing by 8
-if the last 3 digits are divisible by 8, so is the entire number.
for 817,380 if 380 is divisible by 8 ?, no reminder=4

Dividing by 9
- If the sum of all no's is divisible by 9, so is the number.
8+1+7+3+8+0=27, divisible by 9 reminder=0

Manager
Joined: 08 Jan 2007
Posts: 67
Location: D.C.
Followers: 1

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

Re: PS: Reminder [#permalink]  18 Aug 2007, 09:22
[quote="chiya"][quote="chiya"][quote="Fistail"]i know its piece of a cake.........

For which n is the remainder largest when the number 817,380 is divided by n?

(A) 4
(B) 5
(C) 6
(D) 8
(E) 9[/quote]

Answer is D... Reminder is 4..[/quote]

[b]Short cut Method...[/b]

Dividing by 2
-All even numbers are divisible by 2. E.g., all numbers ending in 0,2,4,6 or 8

Dividing by 3
-If the sum is divisible by 3, so is the number

Dividing by 4
-If the last two digits in number is divisible by 4?
If so, the number is too!
for 817,380 380 is divisible by 4, reminder=0

Dividing by 5
-Numbers ending in a 5 or a 0 are always divisible by 5.
for 817,380 last digit it 0, reminder =0

Dividing by 6
-If the Number is divisible by 2 and 3 it is divisible by 6 also.
for 817,380 last digit it 2, divisible by 2
and 8+1+7+3+8+0=27, divisible by 3
Reminder=0

Dividing by 8
-if the last 3 digits are divisible by 8, so is the entire number.
for 817,380 if 380 is divisible by 8 ?, no reminder=4

Dividing by 9
- If the sum of all no's is divisible by 9, so is the number.
8+1+7+3+8+0=27, divisible by 9 reminder=0

Thanks for the reminder on the rules!

D for me too!
VP
Joined: 10 Jun 2007
Posts: 1464
Followers: 6

Kudos [?]: 142 [0], given: 0

Re: PS: Reminder [#permalink]  18 Aug 2007, 10:25
Fistail wrote:
i know its piece of a cake.........

For which n is the remainder largest when the number 817,380 is divided by n?

(A) 4
(B) 5
(C) 6
(D) 8
(E) 9

Looking at the number, you already know it is divisible by 4, 5.
Divisible by 4 because 100 is divisible by 4 and 80 is divisible by 4.

You also know it is divisible by 9 if all of individual digits add up and divisible by 9. (8+1+7+3+8+0 = 27)

Choice C and D left. No need to do a whole problem. First, divide by 2. You get = 408690. From this, you know that it is divisible by 3 because the sum of digits is divisible by 3.

*Just saw previous posts, great job!
Manager
Joined: 18 Jun 2007
Posts: 88
Followers: 2

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

I come up with D as the answer

all the other options are factors of the number, the only number not a factor , hence the largest reminder is option d =8

Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 186 [0], given: 2

I get D too..here is how i did it...

[img]For which n is the remainder largest when the number 817,380 is divided by n?

(A) 4
(B) 5
(C) 6
(D) 8
(E) 9
[/img]

well i easily elimnated 5, casue the number ends with a 0...

easily elimnated 9..casue the sum of all these integers is 27 which is not only divisible by 3, but also 9..thus remainder is 0

easily elimnated 6 cause the number is even, divisible by 3 and 2 both..

left with 4...and 8

ok.gotta pick 8 and test the number ..8 leaves a remainder 4... while 4 leaves a remainder 0...

D it is..

[/img]
Similar topics Replies Last post
Similar
Topics:
4 N is the smallest number which is divisible by 49 and has all its digi 8 26 Nov 2014, 10:25
19 A bakery currently has 5 pies and 6 cakes in its inventory 6 01 May 2012, 12:34
Its easy if you know the Shortcut 7 19 Jun 2011, 22:27
I know its simple........still............... 1 01 May 2009, 00:53
i know this is pretty simple. isnot it? lets see "if 11 26 Jun 2006, 18:55
Display posts from previous: Sort by