|
Author |
Message |
|
TAGS:
|
|
|
SVP
Joined: 18 Nov 2004
Posts: 1544
Followers: 2
Kudos [?]:
9
[0], given: 0
|
If x and y are non-zero integers, what's the remainder when [#permalink]
 03 Feb 2005, 20:13
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
If x and y are non-zero integers, what's the remainder when x is divided by y ?
I. x when divided by 2y leaves a remainder of 4.
II. x+y when divided by y leaves a remainder of 4.
|
|
|
|
|
|
|
VP
Joined: 13 Jun 2004
Posts: 1135
Location: London, UK
Schools: Tuck'08
Followers: 5
Kudos [?]:
14
[0], given: 0
|
waow...i can't follow with this one.
I had time to figure out that statement 1 is not sufficient
x=10
y=3
remainder of 10/2*3 -> 4
remainder of x/y -> 1
x=44
y=4
remainder of 44/2*4 -> 4
remainder of x/y -> 0
not sufficient
however I am totally lost with the second statement 
MA, if you can develop your choice please... 
|
|
|
|
|
|
Director
Joined: 19 Nov 2004
Posts: 589
Location: SF Bay Area, USA
Followers: 2
Kudos [?]:
7
[0], given: 0
|
stem : x= yK + R . What is R?
I. x when divided by 2y leaves a remainder of 4.
x = 2yK1 + 4
we can't say what remainder we get when x is divided by y with this info
II. x+y when divided by y leaves a remainder of 4.
This remainder (4) will be exactly same remainder as when x is divided by y.
x+y = yK2 + 4
x = y(K2-1) + 4 -> this is eqn for X divided by Y
=> same remainder 4
B)
|
|
|
|
|
|
SVP
Joined: 25 Nov 2004
Posts: 1581
Followers: 4
Kudos [?]:
13
[0], given: 0
|
Antmavel wrote: waow...i can't follow with this one. however I am totally lost with the second statement MA, if you can develop your choice please... from ii,
if 4 is reminder when X+Y is divided by Y, then 4 is reminder when X divided by Y because Y divided by Y remains 0 as reminder. it is X when divided by Y remains 4 as reminder.............
|
|
|
|
|
|
VP
Joined: 27 Dec 2004
Posts: 1089
Followers: 1
Kudos [?]:
5
[0], given: 0
|
Antmavel wrote: waow...i can't follow with this one. I had time to figure out that statement 1 is not sufficientx=10 y=3 remainder of 10/2*3 -> 4 remainder of x/y -> 1 x=44 y=4 remainder of 44/2*4 -> 4 remainder of x/y -> 0 not sufficient however I am totally lost with the second statement MA, if you can develop your choice please... I thought i was the only one have problems picking numbers for the second statement. 
|
|
|
|
|
|
VP
Joined: 27 Dec 2004
Posts: 1089
Followers: 1
Kudos [?]:
5
[0], given: 0
|
MA wrote: Antmavel wrote: waow...i can't follow with this one. however I am totally lost with the second statement MA, if you can develop your choice please... from ii, if 4 is reminder when X+Y is divided by Y, then 4 is reminder when X divided by Y because Y divided by Y remains 0 as reminder. it is X when divided by Y remains 4 as reminder............. MA,
Will it be the same "if x+y when divided by x leaves a remainder of 4. "
|
|
|
|
|
|
SVP
Joined: 03 Jan 2005
Posts: 2322
Followers: 9
Kudos [?]:
157
[0], given: 0
|
(I) is not sufficient because we don't know what is the reminder of 4 divided by y.
(II) is sufficient
(x+y)/y = x/y +1
So whatever reminder it is for the left of equation, it is the same thing for the right of the equation.
(B)
|
|
|
|
|
|
VP
Joined: 13 Jun 2004
Posts: 1135
Location: London, UK
Schools: Tuck'08
Followers: 5
Kudos [?]:
14
[0], given: 0
|
MA wrote: Antmavel wrote: waow...i can't follow with this one. however I am totally lost with the second statement MA, if you can develop your choice please... from ii, if 4 is reminder when X+Y is divided by Y, then 4 is reminder when X divided by Y because Y divided by Y remains 0 as reminder. it is X when divided by Y remains 4 as reminder............. thanks for the explanation
|
|
|
|
|
|
SVP
Joined: 18 Nov 2004
Posts: 1544
Followers: 2
Kudos [?]:
9
[0], given: 0
|
goog job guys, OA is "B".
|
|
|
|
|
|
Manager
Joined: 24 Jan 2005
Posts: 220
Location: Boston
Followers: 1
Kudos [?]:
3
[0], given: 0
|
(I)==> x=2yk+4 (k is an integer)
==> x=y(2k)+4 so x/y also leaves a remainder of 4 (Only the quotient changes)
(II) ==> x+y=yk + 4
==> x=y(k-1) + 4 again x/y leaves a remainder of 4.
So D.
Anirban
|
|
|
|
|
|
SVP
Joined: 18 Nov 2004
Posts: 1544
Followers: 2
Kudos [?]:
9
[0], given: 0
|
anirban16 wrote: (I)==> x=2yk+4 (k is an integer)
==> x=y(2k)+4 so x/y also leaves a remainder of 4 (Only the quotient changes)
(II) ==> x+y=yk + 4
==> x=y(k-1) + 4 again x/y leaves a remainder of 4.
So D.
Anirban
That's not correct for the I statement, say x = 12 and y = 4....remainder is 0....but x/2y leaves a remainder of 4. One has to represent the eqn in multipliers of y i.e. y+y, y+2y,y+3y.....and y(k-1) represents that and not y(2k)
|
|
|
|
|
|
Manager
Joined: 24 Jan 2005
Posts: 220
Location: Boston
Followers: 1
Kudos [?]:
3
[0], given: 0
|
My mistake.
Simplified it too much.
Thanks,
Anirban
|
|
|
|
|
|
SVP
Joined: 25 Nov 2004
Posts: 1581
Followers: 4
Kudos [?]:
13
[0], given: 0
|
Folaa3 wrote: Will it be the same "if x+y when divided by x leaves a remainder of 4. "
if that is the case, y is 4 but x could be anything.
|
|
|
|
|
|
SVP
Joined: 03 Jan 2005
Posts: 2322
Followers: 9
Kudos [?]:
157
[0], given: 0
|
y is not necessarily 4 either, could be x+4, 2x+4, etc.
|
|
|
|
|
|
SVP
Joined: 25 Nov 2004
Posts: 1581
Followers: 4
Kudos [?]:
13
[0], given: 0
|
HongHu wrote: y is not necessarily 4 either, could be x+4, 2x+4, etc.
honghu,
you did not notice Folaa3's posting. my posting is in response to his/her posting "Will it be the same "if x+y when divided by x leaves a remainder of 4."
link these postings to state ii.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Similar topics |
Author |
Replies |
Last post |
|
Similar
Topics:
|
 |
|
|
If X and Y are nonzero integers, what is the remainder when
|
AkamaiBrah |
8 |
16 Jul 2003, 04:48 |
|
|
|
|
If x and y are non-zero integers, what is the remainder when
|
crackgmat04 |
6 |
13 Dec 2004, 02:46 |
|
|
|
|
if X and Y are non-zero integers, what is the remainder when
|
FN |
5 |
24 Jun 2005, 12:03 |
|
|
|
|
If X and Y are nonzero integers, what is the remainder when
|
GMATT73 |
7 |
26 Oct 2005, 07:48 |
|
|
|
|
If x and y are nonzero integers, what is the remainder when
|
bschool83 |
6 |
23 Sep 2011, 17:52 |
|
|
|
|
|
|
close
