NEW HERE? LEARN MORE
closeclose
Last visit was: 23 Apr 2024, 22:16 It is currently 23 Apr 2024, 22:16
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If x and y are nonzero integers, is x/y an integer?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
dzodzo85
Manager
Manager
Joined: 06 Jul 2011
Posts: 196
Own Kudos [?]: 282 [24]
Given Kudos: 39
Location: Accra, Ghana
Concentration: General MBA
GPA: 3.5
Send PM
If x and y are nonzero integers, is x/y an integer? [#permalink] New post   03 Apr 2012, 01:41
4
Kudos
20
Bookmarks
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

79% (01:12) correct 21% (01:05) wrong based on 692 sessions
Hide Show timer Statistics
If x and y are nonzero integers, is x/y an integer?

(1) x is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals y.
ShowHide Answer
Official Answer
E
Most Helpful Reply
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618637 [6]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: If x and y are nonzero integers, is x/y an integer? [#permalink] New post   03 Apr 2012, 01:50
2
Kudos
4
Bookmarks
Expert Reply
If x and y are nonzero integers, is x/y an integer?

(1) x is the product of 2 and some other integer --> x=2*integer --> x is an even number. Not sufficient, since no info about y.

(2) There is only one pair of positive integers whose product equals y --> y is a prime number or 1. Not sufficient, since no info about x.

(1)+(2) If \(x=2\) and \(y=2=prime\) then \(\frac{x}{y}=1=integer\) but if \(x=2\) and \(y=3=prime\) then \(\frac{x}{y}=\frac{1}{3}\neq{integer}\). Not sufficient.

Answer: E.
General Discussion
User avatar
B
AbeinOhio
Manager
Manager
Joined: 22 Feb 2012
Posts: 74
Own Kudos [?]: 67 [3]
Given Kudos: 25
Schools: HBS '16
GMAT 1: 670 Q42 V40
GMAT 2: 740 Q49 V42
GPA: 3.47
WE:Corporate Finance (Aerospace and Defense)
Send PM
GMAT ToolKit User
Re: If x and y are nonzero integers, is x/y an integer? [#permalink] New post   03 Apr 2012, 01:46
1
Kudos
2
Bookmarks
Quote:
If x and y are nonzero integers, is x/y an integer?

1. x is the product of 2 and some other integer.
2. There is only one pair of positive integers whose product equals y.


Question is asking whether X is divisible by Y

1. OK so this tells us that x is even - Not sufficient

2. this tells us that y is prime or 1 - insufficient

1 + 2 if x is even and y is prime or 1 do we always get an integer? Answer is no.. sometimes we do when Y is 2 or 1 we would get an integer.. hence insufficent

Answer is E
User avatar
pacifist85
Senior Manager
Senior Manager
Joined: 07 Apr 2014
Status:Math is psycho-logical
Posts: 340
Own Kudos [?]: 386 [0]
Given Kudos: 169
Location: Netherlands
GMAT Date: 02-11-2015
WE:Psychology and Counseling (Other)
Re: If x and y are nonzero integers, is x/y an integer? [#permalink] New post   08 Feb 2015, 07:57
Hi,

I did do it like you, but I have one question.

So, statement one tells us that x=2*n, n is an integer.

Does this also tell us that x>=2, or we would also count 0, so x could be zero?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92883
Own Kudos [?]: 618637 [0]
Given Kudos: 81563
Send PM
CAT Tests Forum Quiz Mode
Re: If x and y are nonzero integers, is x/y an integer? [#permalink] New post   09 Feb 2015, 02:02
Expert Reply
pacifist85 wrote:
Hi,

I did do it like you, but I have one question.

So, statement one tells us that x=2*n, n is an integer.

Does this also tell us that x>=2, or we would also count 0, so x could be zero?


The stem says that x and y are nonzero integers, so neither x nor y can be 0.
User avatar
P
LordStark
Current Student
Joined: 31 Aug 2016
Status:Valar Dohaeris
Posts: 299
Own Kudos [?]: 916 [0]
Given Kudos: 911
GMAT 1: 700 Q49 V37
Send PM
Reviews Badge
Re: If x and y are nonzero integers, is x/y an integer? [#permalink] New post   17 Jun 2018, 03:40
tarunanandani wrote:
If x and y are nonzero integers, is \(\frac{x}{y}\) an integer?

(1) x is the product of 2 and some other integer.
(2) There is only one pair of positive integers whose product equals y.


The questions is asking whether X is divisible by y or x is a multiple of y.


Statement 1: x = 2 * q . here q can be any integer other than 0. therefore not sufficient
statement 2: Only a prime number is a product of two positive integers. therefore y could be any prime number. Not sufficient

combined: no link between q and y, therefore not sufficient.
avatar
B
Eduardo86
Intern
Intern
Joined: 13 May 2020
Posts: 29
Own Kudos [?]: 29 [0]
Given Kudos: 182
Location: United Kingdom
Schools: Wharton '23 Kellogg '23
Send PM
Re: If x and y are nonzero integers, is x/y an integer? [#permalink] New post   20 May 2020, 01:24
Hi

1) said x is a multiple of two, so we have an even integer, but we do not know which one is. So the statement is not sufficient.

2)Say y is a prime number because only a specific pair will have as result y.
axb=y if y=3 a and b are 1 and 3. And there is only one pair of integers to give 3. If y=9 we have 9x1 and 3x3, two different possibility. So y is a prime number. Statement 2 is not sufficient.

1+2) we know that x is a multiple of 2 and we know that y is a prime number.

If x is 2,4,8, and y is 2 so x/y is an integer if y is = 3 we do not have an integer. Because we do not know y value is not sufficient.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32635
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: If x and y are nonzero integers, is x/y an integer? [#permalink] New post   02 Dec 2022, 10:46
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: If x and y are nonzero integers, is x/y an integer? [#permalink]
02 Dec 2022, 10:46
Moderator:
Bunuel
Math Expert
92883 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions