GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2018, 19:20

### 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

# Is x+y divisible by 2? 1) There are 25 integers between x and y 2) x

Author Message
TAGS:

### Hide Tags

CEO
Joined: 08 Jul 2010
Posts: 2560
Location: India
GMAT: INSIGHT
WE: Education (Education)
Is x+y divisible by 2? 1) There are 25 integers between x and y 2) x  [#permalink]

### Show Tags

14 Nov 2017, 02:36
00:00

Difficulty:

55% (hard)

Question Stats:

47% (01:15) correct 53% (01:26) wrong based on 53 sessions

### HideShow timer Statistics

Is x+y divisible by 2?

1) There are 25 integers between x and y
2) x and y are Integers

Source : www.GMATinsight.com

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Intern
Joined: 28 Dec 2010
Posts: 49
Re: Is x+y divisible by 2? 1) There are 25 integers between x and y 2) x  [#permalink]

### Show Tags

14 Nov 2017, 02:44
2
You might pick A for this one.

1. If both are integers, they both are odd or both are even.
But we don't know if they are integers.
Insufficient.

2. x+y could be odd or even.
Insufficient.

Both.
Sufficient.

C.
_________________

_________________________________________

DS Forum Moderator
Joined: 22 Aug 2013
Posts: 1348
Location: India
Re: Is x+y divisible by 2? 1) There are 25 integers between x and y 2) x  [#permalink]

### Show Tags

14 Nov 2017, 08:48
(1) x and y can be both integers, in which case, y = x+26 or x = y+26 (since there are 25 integers between them). So, in this case, either both will be even or both will be odd. And thus, their sum will be even in either case, and thus divisible by 2.

But its also possible that both x/y are not integers, and still have 25 integers between them. Eg, we can have x=1.7 and y = 27. Still there are 25 integers between them (2 to 26) but sum of x and y is not an integer, hence not divisible by 2.
So insufficient.

(2) x and y are both integers, but we dont know which is even and which is odd so we cant say about their sum. Insufficient.

Combining, since both are integers having 25 integers between them, either both will be even or both will be odd. So sum will be divisible by 2. Sufficient.

Re: Is x+y divisible by 2? 1) There are 25 integers between x and y 2) x &nbs [#permalink] 14 Nov 2017, 08:48
Display posts from previous: Sort by