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If x and y are positive integers, is x a factor of y?

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Math Expert
Joined: 02 Sep 2009
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If x and y are positive integers, is x a factor of y?  [#permalink]

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06 Feb 2015, 07:19
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60% (01:10) correct 40% (01:12) wrong based on 227 sessions

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If x and y are positive integers, is x a factor of y?

(1) x = y^2
(2) y > 1

Kudos for a correct solution.

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Re: If x and y are positive integers, is x a factor of y?  [#permalink]

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06 Feb 2015, 08:03
1
Bunuel wrote:
If x and y are positive integers, is x a factor of y?

(1) x = y^2
(2) y > 1

Kudos for a correct solution.

statement 1: assume x=1 then y/x = integer; assume y=2 then y/x is not integer.

statement 2: not sufficient.

1+2) y is a positive integer greater than 1.

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Re: If x and y are positive integers, is x a factor of y?  [#permalink]

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09 Feb 2015, 05:53
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Bunuel wrote:
If x and y are positive integers, is x a factor of y?

(1) x = y^2
(2) y > 1

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

Solution: C

Statement (1) tells us that x = y^2, so x seemingly cannot be a factor of y as numbers greater than other numbers are not factors of those others numbers. x could be 1, however, if x is 1 then y is 1 and is a factor of y. If y is any other integer, however, x is not a factor of y; INSUFFICIENT. Statement (2) tells us nothing about x; INSUFFICIENT. Together we know that y isn't 1, so x must be greater than 1 and cannot possibly be a factor of y; SUFFICIENT, C.
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Re: If x and y are positive integers, is x a factor of y?  [#permalink]

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15 Mar 2016, 08:21
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1
Bunuel wrote:
If x and y are positive integers, is x a factor of y?

(1) x = y^2
(2) y > 1

Kudos for a correct solution.

A point to note - Even if it doesn't occur to you that in statement 1, y could be 1 and x could be 1 so x could be a factor of y, when you read statement 2, you must check for y = 1 in statement 1. There could be something special about y = 1 because of which statement 2 gives you y > 1. So statement 2 could give you a hint about statement 1. Use it to your advantage.
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Re: If x and y are positive integers, is x a factor of y?  [#permalink]

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24 Aug 2016, 07:24
See here we need to use a basic principle that for any positive integer P its factors must be all less than P or P itself.
Statement 1 =>for y=1 the answer is yes & for y=2 => the answer is no.=> insuff
Statement 2 => no clue of x => insuff
Combining them -> Y>1 and we know that for any number greater than 1 => t^2>t hence x must be greater than y
So x can never be a factor of y
Suff
SMASH THAT C
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Re: If x and y are positive integers, is x a factor of y?  [#permalink]

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02 Jan 2018, 01:22
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x and y are positive integers, is x a factor of y?   [#permalink] 02 Jan 2018, 01:22
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