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Intern Joined: 19 Feb 2017
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x > y, x and y are positive integers [#permalink] 00:00

Question Stats: 80% (01:03) correct 20% (00:38) wrong based on 5 sessions
$$x > y$$, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?

1. $$\frac{x}{y} = k$$; k is a positive integer

2. x is a multiple of 6 and y is a multiple of 3

3. Every prime factor of y is also a prime factor of x.

Last edited by Carcass on 05 Sep 2018, 11:02, edited 1 time in total.
Edited by Carcass
Intern Joined: 14 Oct 2017
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x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?

1. x/y = k; k is a positive integer
2. x is a multiple of 6 and y is a multiple of 3
3. Every prime factor of y is also a prime factor of x.

1. This is true only for even number, but x and y can be odd too.
2. but y cannot be multiple of 3 and then factor of x for all cases e.g. X = 54 and Y = 15.
3. This is possible e.g. if we factor out a multiple of 6 say 18 = 2*3*3 and 9 = 3*3 , so factor of 9 included in 18. so option 3 is the answer. Intern  Joined: 29 Aug 2018
Posts: 9
Location: India
GMAT 1: 720 Q50 V38
WE: Sales (Computer Software)
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1
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LethalMonkey wrote:
x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?

1. x/y = k; k is a positive integer
2. x is a multiple of 6 and y is a multiple of 3
3. Every prime factor of y is also a prime factor of x.

1. This is true only for even number, but x and y can be odd too.
2. but y cannot be multiple of 3 and then factor of x for all cases e.g. X = 54 and Y = 15.
3. This is possible e.g. if we factor out a multiple of 6 say 18 = 2*3*3 and 9 = 3*3 , so factor of 9 included in 18. so option 3 is the answer.

I think you got the first option wrong my friend.
What the question wants to know is if x= a* y (where a is any number) they are asking if x is a factor of Y.
Now option one states that x/y=K which if you make simpler would look like x=Y*K which means both K and Y are factors of X.
Founder  Joined: 18 Apr 2015
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Re: x > y, x and y are positive integers [#permalink]
Expert's post

https://greprepclub.com/forum/rules-for ... -1083.html

Use a proper title to pinpoint the question, use the proper tags, and post the question in the right math sub-forum: the quantitative comparison under the so-called sub-section, multiple choice as well, and so forth

Thank you so much.

Regards
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Manager Joined: 08 Dec 2018
Posts: 94
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abhinavk48 wrote:
LethalMonkey wrote:
x > y, x and y are positive integers. Which of the following statements provide the necessary information to state that y is a factor of x?

1. x/y = k; k is a positive integer
2. x is a multiple of 6 and y is a multiple of 3
3. Every prime factor of y is also a prime factor of x.

1. This is true only for even number, but x and y can be odd too.
2. but y cannot be multiple of 3 and then factor of x for all cases e.g. X = 54 and Y = 15.
3. This is possible e.g. if we factor out a multiple of 6 say 18 = 2*3*3 and 9 = 3*3 , so factor of 9 included in 18. so option 3 is the answer.

I think you got the first option wrong my friend.
What the question wants to know is if x= a* y (where a is any number) they are asking if x is a factor of Y.
Now option one states that x/y=K which if you make simpler would look like x=Y*K which means both K and Y are factors of X.

--
Regarding the option 1:
X/y=k where K is a positive INTEGER,
We can conclude that x is divisible by y, because the result is an INTEGER (K) , no matter whether x and y are both even or both odd.
So, option 1 is correct, right ?

Last edited by jelal123 on 11 Jun 2019, 07:57, edited 1 time in total. GRE Instructor Joined: 10 Apr 2015
Posts: 3907
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Kudos [?]: 4766  , given: 70

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Expert's post
jelal123 wrote:
--
Regarding the option 1:
X/y=k where K is a positive INTEGER,
We can conclude that x is divisible by x, because the result is an INTEGER (K) , no matter whether x and y are both even or both odd.
So, option 1 is correct, right ?

That's correct, if x and y are positive integers, and x/y = some positive integer, then y is a factor of x

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Manager Joined: 22 May 2019
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Kudos [?]: 30 , given: 194

Re: x > y, x and y are positive integers [#permalink]
Online option i is correct Re: x > y, x and y are positive integers   [#permalink] 01 Jul 2019, 10:29
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