Hello!
Can anyone please help me find the right answer for this question and the reason how it is derived. Thanks =)
If x and y are nonzero integers, what is the remainder when x is divided by y ?
(1) When x is divided by 2y, the remainder is 4.
(2) When x + y is divided by y, the remainder is 4
A number property Question
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 385
- Joined: Sun Jul 12, 2009 10:16 pm
- Thanked: 29 times
- Followed by:2 members
- GMAT Score:710
Without much thought and hence I may be wrong . I think the information provided by the statements is insufficient because it is stated "non-zero integers" and there will always be a combination of positive X & Y and a combination of negative X & Y and hence the statements are insufficient
-
- Newbie | Next Rank: 10 Posts
- Posts: 4
- Joined: Tue Apr 27, 2010 7:10 pm
I'll give it a try:
1. When x is divided by 2y, the remainder is 4.
=> X = (Multiple of 2y) + 4
=> X = (Multiple of y) + 4
=> When x is divided by y, the remainder is 4.
2. When x +y is divided by y, the remainder is 4.
(x+y)/y = x/y+y/y
y/y will have remainder of 0, so the remainder 4 is from x/y
I feel each statement is sufficient on its own.
1. When x is divided by 2y, the remainder is 4.
=> X = (Multiple of 2y) + 4
=> X = (Multiple of y) + 4
=> When x is divided by y, the remainder is 4.
2. When x +y is divided by y, the remainder is 4.
(x+y)/y = x/y+y/y
y/y will have remainder of 0, so the remainder 4 is from x/y
I feel each statement is sufficient on its own.
-
- Legendary Member
- Posts: 576
- Joined: Sat Mar 13, 2010 8:31 pm
- Thanked: 97 times
- Followed by:1 members
from 1 ,
x=2ny+4 ..n is any integer
when x is divided by y reminder is 4/y..now if 4 is divisible by y reminder will be 0
if 4 is divisible by y values of y can be 1,2,4
among these only for y=4 4 can be reminder when x is divided with 2y but reminder is 0 when x is divided with y...not sufficient
From 2
When x +y is divided by y, the remainder is 4
since y is completely divisible by y itself the reminder comes from x i.e when x is divided by y the reminder is 4..sufficient
Ans option B
what is OA?
x=2ny+4 ..n is any integer
when x is divided by y reminder is 4/y..now if 4 is divisible by y reminder will be 0
if 4 is divisible by y values of y can be 1,2,4
among these only for y=4 4 can be reminder when x is divided with 2y but reminder is 0 when x is divided with y...not sufficient
From 2
When x +y is divided by y, the remainder is 4
since y is completely divisible by y itself the reminder comes from x i.e when x is divided by y the reminder is 4..sufficient
Ans option B
what is OA?
"If you don't know where you are going, any road will get you there."
Lewis Carroll
Lewis Carroll