NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 07:16 It is currently 25 Apr 2024, 07:16
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 is an integer, is x even?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
RichaKhanna
Intern
Intern
Joined: 26 May 2015
Posts: 8
Own Kudos [?]: 3 [1]
Given Kudos: 5
GMAT 1: 690 Q50 V34
Send PM
If x is an integer, is x even? [#permalink] New post   Updated on: 07 Jul 2015, 00:46
1
Bookmarks
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

87% (00:52) correct 13% (00:58) wrong based on 136 sessions
Hide Show timer Statistics
If x is an integer, is x even?

(1) ax is even, where a is an integer.

(2) x^2 - 1 is an odd integer.
ShowHide Answer
Official Answer
B

Originally posted by RichaKhanna on 07 Jul 2015, 00:27.
Last edited by Bunuel on 07 Jul 2015, 00:46, edited 1 time in total.
Edited the question.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92913
Own Kudos [?]: 618949 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: If x is an integer, is x even? [#permalink] New post   07 Jul 2015, 00:49
Expert Reply
If x is an integer, is x even?

(1) ax is even, where a is an integer. If a itself is even, then x can be even as well as odd. Not sufficient.

(2) x^2 - 1 is an odd integer --> x^2 - 1 = odd --> x^2 = odd + 1 = even --> since x is an integer, then x = even. Sufficient.

Answer: B.
User avatar
RichaKhanna
Intern
Intern
Joined: 26 May 2015
Posts: 8
Own Kudos [?]: 3 [0]
Given Kudos: 5
GMAT 1: 690 Q50 V34
Send PM
Re: If x is an integer, is x even? [#permalink] New post   07 Jul 2015, 01:07
As per second statement.. X can also have a value 0. In question its nowhere stated that x is a POSITIVE integer

So answer should be C
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92913
Own Kudos [?]: 618949 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: If x is an integer, is x even? [#permalink] New post   07 Jul 2015, 01:10
Expert Reply
RichaKhanna wrote:
As per second statement.. X can also have a value 0. In question its nowhere stated that x is a POSITIVE integer

So answer should be C


That's not correct. Check the highlighted part below.

ZERO:

1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

Check more here: number-properties-tips-and-hints-174996.html
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5960
Own Kudos [?]: 13387 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: If x is an integer, is x even? [#permalink] New post   07 Jul 2015, 14:45
Expert Reply
RichaKhanna wrote:
If x is an integer, is x even?

(1) ax is even, where a is an integer.

(2) x^2 - 1 is an odd integer.


Given: x is an Integer
Question : Is x even?

Statement 1: ax is even, where a is an integer

Case 1: a = 2 and x = 1, ax = 2 (even) and x is NOT even
Case 2: a = 1 and x = 2, ax = 2 (even) and x is even
NOT SUFFICIENT

Statement 2: x^2 - 1 is an odd integer

x^2 - 1 = (x+1)*(x-1) = Odd
Since (x+1) and (x-1) are both separated by 2 therefore, either both should be even or both should be odd
but since their product is odd therefore both of them must be odd
i.e. x-1 = odd
i.e. x = even
SUFFICIENT

Answer: Option B
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32675
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: If X is an integer, is X even? 1) aX is even, where a is an [#permalink] New post   02 Oct 2020, 03:05
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 is an integer, is X even? 1) aX is even, where a is an [#permalink]
02 Oct 2020, 03:05
Moderator:
Bunuel
Math Expert
92912 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