|
Author |
Message |
|
TAGS:
|
|
|
Senior Manager
Joined: 30 Aug 2003
Posts: 335
Location: BACARDIVILLE
Followers: 1
Kudos [?]:
0
[0], given: 0
|
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
|
|
|
|
|
|
|
Director
Joined: 14 Oct 2003
Posts: 601
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1
Kudos [?]:
2
[0], given: 0
|
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)
add 5 to 8820
Thus C is your answer
verstehen Sie? Ausgezeichnet!
Last edited by Titleist on 05 Jan 2004, 19:36, edited 1 time in total.
|
|
|
|
|
|
Senior Manager
Joined: 30 Aug 2003
Posts: 335
Location: BACARDIVILLE
Followers: 1
Kudos [?]:
0
[0], given: 0
|
you mean subtract five to get (d) right?
|
|
|
|
|
|
Director
Joined: 14 Oct 2003
Posts: 601
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1
Kudos [?]:
2
[0], given: 0
|
sunniboy007 wrote: you mean subtract five to get (d) right?
 sorry as i correctly wrote add 5 to get 8825
incorrectly wrote c instead of b - i made that correction.
|
|
|
|
|
|
Senior Manager
Joined: 30 Aug 2003
Posts: 335
Location: BACARDIVILLE
Followers: 1
Kudos [?]:
0
[0], given: 0
|
Titleist, the official answer is (D)
_________________
Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco
|
|
|
|
|
|
Director
Joined: 14 Oct 2003
Posts: 601
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1
Kudos [?]:
2
[0], given: 0
|
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?
|
|
|
|
|
|
Senior Manager
Joined: 30 Aug 2003
Posts: 335
Location: BACARDIVILLE
Followers: 1
Kudos [?]:
0
[0], given: 0
|
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
|
|
|
|
|
|
Director
Joined: 14 Oct 2003
Posts: 601
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1
Kudos [?]:
2
[0], given: 0
|
I had three beers tonight  - glad to know my brain cells are still functioning. Struggling but functioning! 
|
|
|
|
|
|
Senior Manager
Joined: 30 Aug 2003
Posts: 335
Location: BACARDIVILLE
Followers: 1
Kudos [?]:
0
[0], given: 0
|
The way I solved it was this:
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.
|
|
|
|
|
|
Director
Joined: 14 Oct 2003
Posts: 601
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1
Kudos [?]:
2
[0], given: 0
|
sunniboy007 wrote: The way I solved it was this:
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?
|
|
|
|
|
|
Director
Joined: 14 Oct 2003
Posts: 601
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1
Kudos [?]:
2
[0], given: 0
|
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!
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Similar topics |
Author |
Replies |
Last post |
|
Similar
Topics:
|
 |
|
|
Q What is the remainder when the positive integer x is
|
vd |
18 |
10 May 2008, 03:57 |
 |
2
|
|
Tuesday Q5 - Remainder
|
hogann |
7 |
13 Oct 2009, 06:33 |
|
|
1
|
 |
x, q, r are positive integers. x / 17 = q and remainder is
|
nades09 |
2 |
21 Nov 2010, 17:49 |
|
|
1
|
|
If P, Q, and R are positive integers, what is the remainder
|
Pansi |
2 |
27 Oct 2012, 19:48 |
|
|
1
|
|
When Q is divided by W, the quotient is R and the remainder
|
madzstar |
3 |
07 May 2013, 13:57 |
|
|
|
|
|
|
close
