It is currently 24 Feb 2018, 15:49

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M16-14

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43898

### Show Tags

15 Sep 2014, 23:58
Expert's post
2
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

56% (00:45) correct 44% (00:56) wrong based on 138 sessions

### HideShow timer Statistics

If $$a$$ and $$b$$ are integers, is $$\frac{a}{b}$$ an even integer?

(1) $$ab$$ is odd

(2) $$a + b$$ is even
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 43898

### Show Tags

15 Sep 2014, 23:58
Official Solution:

Statement (1) by itself is sufficient. Both $$a$$ and $$b$$ are odd (otherwise $$ab$$ would be even). Therefore, $$\frac{a}{b}$$ is not an even integer. If $$\frac{a}{b}$$ were an even integer, $$a$$ would be even.

Statement (2) by itself is insufficient. Consider $$a = 4$$, $$b = 2$$ (the answer to the question is "yes") and $$a = 5$$, $$b = 3$$ (the answer to the question is "no").

_________________
Current Student
Joined: 23 Apr 2015
Posts: 12
Location: United States
Concentration: Real Estate, Finance
GMAT 1: 670 Q49 V33
GPA: 3.49

### Show Tags

01 Dec 2015, 09:22
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. Do we need to be told in the question prompt that a>b?

Nevermind, I get it now too. Either it will yield a non-integer or an odd integer, NEVER an even integer!

Last edited by jvh42 on 18 Dec 2015, 09:07, edited 1 time in total.
Retired Moderator
Joined: 23 Sep 2015
Posts: 401
Location: France
GMAT 1: 690 Q47 V38
GMAT 2: 700 Q48 V38
WE: Real Estate (Mutual Funds and Brokerage)

### Show Tags

18 Dec 2015, 09:00
hi Bunuel, I get that both a and b are odd from statement 1. But what tells us that a/b actually yields an integer? I chose E because I found no proof that a was divisible by b to begin with. I am thinking wrong here?
Thanks
_________________

New Application Tracker : update your school profiles instantly!

Retired Moderator
Joined: 23 Sep 2015
Posts: 401
Location: France
GMAT 1: 690 Q47 V38
GMAT 2: 700 Q48 V38
WE: Real Estate (Mutual Funds and Brokerage)

### Show Tags

18 Dec 2015, 09:03
Actually, never mind my question, I get it. Thanks
_________________

New Application Tracker : update your school profiles instantly!

Intern
Joined: 04 Sep 2015
Posts: 36
Location: Germany
Concentration: Operations, Finance
WE: Project Management (Aerospace and Defense)

### Show Tags

04 Jan 2016, 12:24
I think, (E) should be the answer.
(A) would be the answer provided the condition a>b is given in question.

Nevertheless, got the Q. Thanks for everything Gmat club!
Math Expert
Joined: 02 Sep 2009
Posts: 43898

### Show Tags

05 Jan 2016, 00:56
MK1480 wrote:
I think, (E) should be the answer.
(A) would be the answer provided the condition a>b is given in question.

Nevertheless, got the Q. Thanks for everything Gmat club!

The first statement, regardless whether a>b or not, gives a NO answer to the question: - a/b is NOT an even integer. Thus it's sufficient.
_________________
Intern
Joined: 13 Jan 2016
Posts: 1

### Show Tags

13 Mar 2017, 12:12
I solved it using the general rule for odd and even numbers.

Multiplication:
-------------
(i)odd * odd = odd
(ii)odd * even= even
(iii)even* even = even

-------------------
(iv)Odd +/- Odd = Even
(v)Even +/- Odd= Odd
(vi)Even +/- Even = Even

Applying the above rule to the question,

1 stmt) given ab is odd, that means a and b are odd numbers - applies rule (i) ONLY. so a/b yields either a fraction or an odd integer but not a even integer. So this stmt is sufficient, as it gives an answer no.

2nd stmt) a and b can be either odd or even - applies rule (iv) or (vi). So can't conclude. Not sufficient.

Hope this helps!
Re: M16-14   [#permalink] 13 Mar 2017, 12:12
Display posts from previous: Sort by

# M16-14

Moderators: chetan2u, Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.