Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
51% (01:04) correct
49%
(01:07)
wrong
based on 274
sessions
History
Date
Time
Result
Not Attempted Yet
If x and y are integers, and x/y is not an integer then which of the following must be true?
A. x is odd and y is even.
B. x is odd and y is odd.
C. x is even and y is odd.
D. x<y
E. None of the above
_________________
A. x is odd and y is even.
B. x is odd and y is odd.
C. x is even and y is odd.
D. x<y
E. None of the above
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
A. x is odd and y is even.
will always be a fraction -true
This range of sets, however, exclude many other sets such as even/ even with denominator larger etc.. Eliminate
B. x is odd and y is odd.
can be an integer i.e 3/3 = 1
Eliminate
C. x is even and y is odd.
can be an integer i,e 6/3 = 2
Eliminate
D. x<y true
2/4, 3/9, 2/5, 5/7
6/5 x>y still not an integer
Eliminate
E. None of the above
This is the right choice IMO
will always be a fraction -true
This range of sets, however, exclude many other sets such as even/ even with denominator larger etc.. Eliminate
B. x is odd and y is odd.
can be an integer i.e 3/3 = 1
Eliminate
C. x is even and y is odd.
can be an integer i,e 6/3 = 2
Eliminate
D. x<y true
2/4, 3/9, 2/5, 5/7
6/5 x>y still not an integer
Eliminate
E. None of the above
This is the right choice IMO
Bunuel
Posts: 1,101
If x and y are integers, and x/y is not an integer then which of the following must be true?
A. x is odd and y is even. -> It means, x and y are integers and x/y is not an integer. But, if x =2 and y=3 then, still x/y won't be an integer. We are missing some cases in this option.
B. x is odd and y is odd. -> It means, x and y are integers and x/y can be or cannot an integer. But, still we are missing few cases, such as x =2 and y =4 then x/y won't be integer. Incorrect.
C. x is even and y is odd. -> It means, x and y are integers and x/y can be or cannot an integer. But, still we are missing few cases, such as x =3 and y =5. Incorrect.
D. x<y -> x/y cannot be an integer for x >y. So, we still missed few cases. Incorrect.
E. None of the above -> It is correct.
So, I think E.
A. x is odd and y is even. -> It means, x and y are integers and x/y is not an integer. But, if x =2 and y=3 then, still x/y won't be an integer. We are missing some cases in this option.
B. x is odd and y is odd. -> It means, x and y are integers and x/y can be or cannot an integer. But, still we are missing few cases, such as x =2 and y =4 then x/y won't be integer. Incorrect.
C. x is even and y is odd. -> It means, x and y are integers and x/y can be or cannot an integer. But, still we are missing few cases, such as x =3 and y =5. Incorrect.
D. x<y -> x/y cannot be an integer for x >y. So, we still missed few cases. Incorrect.
E. None of the above -> It is correct.
So, I think E.
any odd no divided by even will not be integer, hence A seems to be right option
for option D x<y , let x=-2 and y=2 then x/y will be -1, is an integer (no where it is mentioned that x,y are positive integers)
for B - x=3,y=3, x/y =1 not must be true
for C - x=6, y=3, x/y = 2 , not must be true
in view of above E is also rejected.
Hence A seems to be logical answer.
for option D x<y , let x=-2 and y=2 then x/y will be -1, is an integer (no where it is mentioned that x,y are positive integers)
for B - x=3,y=3, x/y =1 not must be true
for C - x=6, y=3, x/y = 2 , not must be true
in view of above E is also rejected.
Hence A seems to be logical answer.
CEO2021
The most efficient approach to solve this problem is to evaluate each option by testing some numbers.
A. x is odd and y is even.
- While it is true that x/y is not an integer in this case, the question asks which of the following must be true, not which could be true. This option is not always true, as can be seen with the counterexample of x = 2 and y = 4.
B. x is odd and y is odd.
- Not necessarily true. Consider x = 2, and y = 4.
C. x is even and y is odd.
- Not necessarily true. Consider x = 2, and y = 4.
D. x<y
- Not necessarily true. Consider x = 5, and y = 4.
E. None of the above
Therefore, the answer is E.
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
Bunuel
If \(\frac{x}{y}\) is not an integer, is it necessary that x should be odd and y should be even? NO
x and y both could be odd or x could be even and y could be odd etc.
e.g. \(\frac{3}{5}, \frac{4}{3}\) etc.
Hence answer is not (A)
We need to find what does "\(\frac{x}{y}\) is not an integer" imply about x and y.
All it implies is that y is not a factor of x. Either could be odd or even.
Answer is (E)
_________________
-
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
KarishmaB
I understand that none of the answers is true always.
-generally when we are asked "what must be true?" Do we assume the following " what is always has to be true regardless"? Thank you in advance.
Posted from my mobile device
joe123x
There are 3 different concepts - must be true, could be true, complete range
This post discusses all 3: https://anaprep.com/algebra-must-be-tru ... questions/
Our original question asks for "must be true" which means that it has to be true under all circumstances in which x/y is not an integer while x and y are integers.
Check out this blog post too: https://anaprep.com/algebra-game-must-b ... questions/
It discusses how exactly to handle "must be true" questions. You need to focus on "what is given" and "what is asked".
_________________
-
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Start FREE with selected GMAT/EA Content upon registration at anaprep.com
YouTube Channel: karishma.anaprep
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
_________________
If this question felt shaky,
try an adaptive mini quiz of similar problems in
GMAT Club Forum Quiz →. Free plan gives 5 questions per day.
Moderator:
Announcements
How to Tell If Your GMAT Prep Resources Are Actually Helping You
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.