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Re: DS - What is the remainder when x is divided by y [#permalink]
01 Jul 2008, 15:48

2

This post received KUDOS

If x and y are positive 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

Take S1: say x = 34 and y = 15; then 34/(2*15) will give a remainder of 4. Here x/y will also give you a remainder of 4 say x = 34 and y = 3; then 34/(2*3) will give you a remainder of 4. Here x/y (34/3) will give you a remainder of 1

This is a MAYBE situation AD are out

S2. x+y/y can be written as x/y + y/y and this gives you a remainder of 4. Hence answers your questiosn x/y has a remainder of 4.

Re: DS - What is the remainder when x is divided by y [#permalink]
01 Jul 2008, 15:55

x97agarwal wrote:

If x and y are positive 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

Take S1: say x = 34 and y = 15; then 34/(2*15) will give a remainder of 4. Here x/y will also give you a remainder of 4 say x = 34 and y = 3; then 34/(2*3) will give you a remainder of 4. Here x/y (34/3) will give you a remainder of 1

This is a MAYBE situation AD are out

S2. x+y/y can be written as x/y + y/y and this gives you a remainder of 4. Hence answers your questiosn x/y has a remainder of 4.

IMO B. What is the OA

Good job. Your S2 approach is very well done, I didn't think of that!

Re: DS - What is the remainder when x is divided by y [#permalink]
02 Jul 2008, 11:36

Quote:

i request you to explain S2

x+y when divided by 4 gives the same remainder as x when divided by y. (Since, clearly, y is divisible by y without a remainder). So Statement 2 is sufficient to answer the question.

Re: If x and y are positive integers, what is the remainder when [#permalink]
11 Feb 2014, 21:32

Expert's post

xALIx wrote:

If x and y are positive 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

Pls explain your answer

Responding to a pm: Before I analyze this question for you, you must understand the method I use for divisibility (making groups). If you haven't come across this method, check out this post: http://www.veritasprep.com/blog/2011/04 ... unraveled/

Statement 1 alone is not sufficient. Here is the reason: 1) When x is divided by 2y, the remainder is 4 This means that when you split x balls into groups of 2y balls each, you are left with 4 balls out of which you cannot make any more groups. (So 2y must be greater than 4 and y must be greater than 2) What if instead, you had to split those balls into groups of y balls each. You made groups of 2y balls each above. Now you can easily split each oen of those groups into two groups of y balls each. But what about the 4 leftover balls? Can you make another group of x balls out of it? Depends on the value of x. Say if x is 3, you can make another group and the remainder will be 1. If x is 5, you cannot make another group and remainder will still be 4. Hence this statement is not sufficient to say what the remainder is when x is divided by 2y.

Statement 2 alone is sufficient. 2) When x + y is divided by y, the remainder is 4 You have x+y balls and you have to make groups out of them containing y balls each. The y balls make one group and the x balls make more groups with 4 balls remaining. Hence when you make groups of y balls each out of x balls, you get a remainder of 4. This means that when you divide x by y, you get remainder 4.

Re: If x and y are positive integers, what is the remainder when [#permalink]
11 Feb 2014, 22:08

xALIx wrote:

If x and y are positive 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

Pls explain your answer

Statement I is insufficient:

x = 10, y = 3 x = 20, y = 8

Statement II is sufficient:

(x + y)/y = (x/y) + 1 the remainder is 4 hence we know the remainder when x is divided by y

Answer is B

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