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

 It is currently 25 May 2013, 19:06

# Easy one for u x,y are non-zero intergers. what is the

Author Message
TAGS:
Manager
Joined: 01 Jun 2006
Posts: 142
Followers: 1

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

Easy one for u x,y are non-zero intergers. what is the [#permalink]  07 Jun 2006, 01:12
Easy one for u
x,y are non-zero intergers. what is the remainder when x is divided by y
(1) x/2y remainder is 4
(2) (x+y)/y remainder is 4
Intern
Joined: 04 May 2006
Posts: 49
Followers: 0

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

I think it's D.
(1) x/2y remainder is 4
In this case the remainder when x is divided by y is always the "remainder when 4 is divided by y".
For ex : -
Suppose x = 34, y = 5, So x/2y or 34/10, remainder is 4.
when we divide 4 by y (5 in this case), remainder is 4.
In actual x/y in our case is 34/5; remainder 4.

Another example, suppose x = 22 and y= 3, So x/2y or 22/6, remainder is 4.
when we divide 4 by y (3 in this case), remainder is 1.
In actual x/y in our case is 22/3; remainder 1.

So equation 1 is sufficient.

(2) (x+y)/y remainder is 4
In this case the remainder is always 4.

It is also sufficient.
_________________

If A equals success, then the formula is: A = X + Y + Z, X is work. Y is play. Z is keep your mouth shut.
Albert Einstein

Manager
Joined: 05 Jun 2006
Posts: 116
Location: London
Followers: 1

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

Sorry, am not sure I understand the logic at all.

For statement (1), leaving aside if x/2y is the same as 4/y - you have taken two examples where x/2y has remained 4, but x/y has had different remainders. Clearly, for different values of x&y, the reminder for x/y is different. Statement (1) therefore is insufficient.
Intern
Joined: 05 Apr 2006
Posts: 36
Followers: 0

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

Re: The remainder [#permalink]  07 Jun 2006, 05:28
quangviet512 wrote:
Easy one for u
x,y are non-zero intergers. what is the remainder when x is divided by y
(1) x/2y remainder is 4
(2) (x+y)/y remainder is 4

D

as from 1) x = 2ny + 4 so 2ny+ 4 / y remainder is always 4/ y

2) remainder is 4 again
Manager
Joined: 05 Jun 2006
Posts: 116
Location: London
Followers: 1

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

Chaps,

Is it only me that can't understand this.

Responding to raja's reply above, the remainer will always be 4/y yes, but we STILL cant tell definately what the value of the remainder will be. for different values of y, the value of the remainer will be different.
If (1) also mentioned that y= 5 (say), then yes, (1) is sufficient. But at the moment, we still dont have enough information to determin the value of the remainder.
VP
Joined: 21 Sep 2003
Posts: 1079
Location: USA
Followers: 2

Kudos [?]: 17 [0], given: 0

Condition #1 x/2y gives a reminder of 4

Eg.1 x = 12, y = 4
x/2y = 12/8 --> reminder = 4
x/y = 12/4 --> reminder =0

Eg.2 x = 14, y = 5
x/2y = 14/10 --> reminder = 4
x/y = 14/5 --> reminder = 4

Condition #1 is not sufficient.
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Intern
Joined: 21 May 2006
Posts: 45
Followers: 0

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

So what is the answer ? is 2) sufficient ?
Manager
Joined: 01 Jun 2006
Posts: 142
Followers: 1

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

[quote="giddi77"]Condition #1 x/2y gives a reminder of 4

Eg.1 x = 12, y = 4
x/2y = 12/8 --> reminder = 4
x/y = 12/4 --> reminder =0

Eg.2 x = 14, y = 5
x/2y = 14/10 --> reminder = 4
x/y = 14/5 --> reminder = 4

Condition #1 is not sufficient.[/quote]
You found the trick here
With (1) only, we often thinnk that x=2y*k+4 so x/y also have remanider of 4. But in fact, there's problem when y<5.
If y=3 and x=10
While x/2y has remainder of 4, x/y has remainder of 1
So (1) is insufficient
The answer for this quest is B.
Director
Joined: 26 Sep 2005
Posts: 588
Location: Munich,Germany
Followers: 1

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

quang and giddi are right, get B.
VP
Joined: 02 Jun 2006
Posts: 1278
Followers: 2

Kudos [?]: 15 [0], given: 0

B. Stmt 2 is suff.

Given that

(x+y)/y = yxMultiple + 4
x/y +1 = yxMultiple +4
x/y = yxMultiple + (4-1)

=> x/y = yxMultiple + 3
Similar topics Replies Last post
Similar
Topics:
x,y are positive intergers, 80=22*x+y what is the value of 2 11 Dec 2005, 06:38
x,y are positive intergers, 80=22*x+y what is the value of 6 30 Jan 2006, 18:49
If x is a non-zero integer, what is the value of x^y? (1) x 3 19 Jun 2006, 14:36
x,y are non-zero intergers. what is the remainder when x 9 27 Aug 2006, 09:11
easy ps4 u 4 25 Apr 2009, 12:34
Display posts from previous: Sort by