It is currently 21 Oct 2017, 12:25

### 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

# Remainder Q

Author Message
Senior Manager
Joined: 30 Aug 2003
Posts: 329

Kudos [?]: 25 [0], given: 0

Location: BACARDIVILLE

### Show Tags

05 Jan 2004, 17:21
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Any idea Pls include reasoning along with all answer posts.

Find the greatest four digit number which when divided by 18, 28 and 35 leaves in each case a remainder 5.

a. 9825
b. 8820
c. 8825
d. 8815

Kudos [?]: 25 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

### Show Tags

05 Jan 2004, 19:28
sunniboy007 wrote:
Any idea Pls include reasoning along with all answer posts.

Find the greatest four digit number which when divided by 18, 28 and 35 leaves in each case a remainder 5.

a. 9825
b. 8820
c. 8825
d. 8815

use prime factorization for a problem like this

18, 28, 35

3x3x2, 2x2x7, 3x5

combine uncommon primes

3x2x7x5=210

check the answer choices to see which answer is a mulitple of 210

Hark!! it's B!!!

8820 but is that the answer??? NO!!!!! Sorry Joe Bloggs! (for those who took PR for SATs)

verstehen Sie? Ausgezeichnet!

Last edited by Titleist on 05 Jan 2004, 19:36, edited 1 time in total.

Kudos [?]: 57 [0], given: 0

Senior Manager
Joined: 30 Aug 2003
Posts: 329

Kudos [?]: 25 [0], given: 0

Location: BACARDIVILLE

### Show Tags

05 Jan 2004, 19:35
you mean subtract five to get (d) right?

Kudos [?]: 25 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

### Show Tags

05 Jan 2004, 19:38
sunniboy007 wrote:
you mean subtract five to get (d) right?

sorry as i correctly wrote add 5 to get 8825

Kudos [?]: 57 [0], given: 0

Senior Manager
Joined: 30 Aug 2003
Posts: 329

Kudos [?]: 25 [0], given: 0

Location: BACARDIVILLE

### Show Tags

05 Jan 2004, 19:41
Titleist, the official answer is (D)
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Kudos [?]: 25 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

### Show Tags

05 Jan 2004, 19:46
sunniboy007 wrote:
Titleist, the official answer is (D)

hmmm...8825 when divided by 18,28, and 35 leaves a remainder of 5

I think i may have to disagree with that "official" answer

is that a Gmat plus question?

Kudos [?]: 57 [0], given: 0

Senior Manager
Joined: 30 Aug 2003
Posts: 329

Kudos [?]: 25 [0], given: 0

Location: BACARDIVILLE

### Show Tags

05 Jan 2004, 19:52
your right, ...I checked on a calculator..... the official answer is incorrect...It happens
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Kudos [?]: 25 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

### Show Tags

05 Jan 2004, 19:57
I had three beers tonight - glad to know my brain cells are still functioning. Struggling but functioning!

Kudos [?]: 57 [0], given: 0

Senior Manager
Joined: 30 Aug 2003
Posts: 329

Kudos [?]: 25 [0], given: 0

Location: BACARDIVILLE

### Show Tags

05 Jan 2004, 20:01
LCM of 18 , 28 and 35 = 1260
The greatest four digit number possible is 9999
Therefore, 9999/1260 leaves a remainder of 1179.
Subtract 5 from 1179 to yield 1174.
9999 - 1174 = 8825
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Last edited by sunniboy007 on 05 Jan 2004, 20:04, edited 1 time in total.

Kudos [?]: 25 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

### Show Tags

05 Jan 2004, 20:04
sunniboy007 wrote:
LCM of 18 , 28 and 35 = 1260
The greatest four digit number possible is 9999
Therefore, 9999/1260 leaves a remainder of 1179.
Subtract 5 from 1179 to yield 1174.
9999 - 1175 = 8825

And how long did all that long division take you?

Kudos [?]: 57 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

### Show Tags

05 Jan 2004, 20:10
Well - you can do it your way. But it took me less than a minute when breaking it down to prime factors. The calculation alone, the way you did it, would've taken me 2 minutes - and that's without reading and trying to figure the darn question out. I'm just lazy and like to do the least amount of calculations when it comes to these problems.

cheers!

Kudos [?]: 57 [0], given: 0

05 Jan 2004, 20:10
Display posts from previous: Sort by