kaplan DS question 2

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dunkin77: Master | Next Rank: 500 Posts; Posts: 269; Joined: Sun Apr 01, 2007 5:41 am

by dunkin77 » Thu May 17, 2007 8:29 pm

If x and y are non-zero integers, what is the reminder 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 reminder is 4.

The answer is B but can anyone help?

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Source: Beat The GMAT — Data Sufficiency | Thu May 17, 2007 8:29 pm

jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

Re: kaplan DS question 2

by jayhawk2001 » Thu May 17, 2007 9:58 pm

dunkin77 wrote:If x and y are non-zero integers, what is the reminder 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 reminder is 4.

The answer is B but can anyone help?

Nice question.

1 - insufficient.
x = 2yt + 4 (where t is an integer)
x/y = 2t + 4/y

Now, depending on the value of y, we get remainder 4/y.
For example y=1 will give remainder 4, y=2 will give remainder 2 etc.

2 - sufficient. x + y and x are 'y' distance apart. y/y will give remainder
of zero. So, x+y and y will have the same remainder when divided
by y.

So, B

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