NEW HERE? LEARN MORE
closeclose
It is currently 03 Oct 2023, 07:30
Register
GMAT Club Tests
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

Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer

12 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 89459
CAT Tests Forum Quiz Mode
Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  02 Aug 2018, 04:59
1
Kudos
3
Bookmarks
Expert Reply
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

93% (00:42) correct 7% (00:58) wrong based on 1232 sessions

Hide Show timer Statistics

Is the integer p even?

(1) The integer p^2 + 1 is odd.
(2) The integer p + 2 is even.


NEW question from GMAT® Quantitative Review 2019


(DS01104)
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
L
Mo2men
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2487
Concentration: Operations, Strategy
Schools: Erasmus (II)
Reviews Badge
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  02 Aug 2018, 05:04
1
Bookmarks
Bunuel wrote:
Is the integer p even?

(1) The integer p^2 + 1 is odd.
(2) The integer p + 2 is even.



(1) The integer p^2 + 1 is odd.

This means even + odd = odd...........P is even

Sufficient

(2) The integer p + 2 is even.

This means even + even = even...........P is even

Sufficient

Answer: D
User avatar
D
KSBGC
VP
VP
Joined: 31 Oct 2013
Posts: 1270
Concentration: Accounting, Finance
GPA: 3.68
WE:Analyst (Accounting)
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  02 Aug 2018, 05:06
Bunuel wrote:
Is the integer p even?

(1) The integer p^2 + 1 is odd.
(2) The integer p + 2 is even.


NEW question from GMAT® Quantitative Review 2019


(DS01104)



Statement 1:

p^2 + 1 = odd

P has to be even in this case. odd + odd = even but even + odd = odd.

Sufficient.

Statement 2:

p + 2 = even

Sufficient.

Odd + 2 = odd

even + 2 = even .

The best answer is D.
User avatar
P
sudarshan22
Retired Moderator
Joined: 30 Jan 2015
Posts: 636
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  02 Aug 2018, 05:10
1
Kudos
(1) The integer p^2 + 1 is odd.
For p^2 + 1 to be odd, p^2 must be even, and an square of even integer is always even
Sufficient

(2) The integer p + 2 is even.
For p + 2 to be even, p must always be even, for 2 is anyway even
Sufficient

Hence, D.
_________________
The few, the fearless !

Thanks :-)
Signature Read More
avatar
B
securegmat
Intern
Intern
Joined: 26 Apr 2017
Posts: 7
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  27 Oct 2018, 22:50
(A) The integer p^2 + 1 is odd.

Therefore, E+O = O Thus.P is Even

Sufficient

(B) The integer p + 2 is even.

Therefore, E+E = E Thus.P is Even

Sufficient

IMO D

:)
avatar
B
mashedpotatoooo
Intern
Intern
Joined: 15 Dec 2019
Posts: 8
Location: Germany
Schools: HEC MiM "22 (II) EDHEC MiM "22 Copenhagen MFin "22
GMAT 1: 710 Q49 V37
GPA: 3.9
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  27 Dec 2019, 11:05
2
Kudos
What about 0? Or is zero considered an even number? Many thanks!
avatar
B
db0108
Current Student
Joined: 29 Jun 2020
Posts: 12
Location: Canada
Schools: Judge '23 (A) Said '23 (A)
GMAT 1: 710 Q48 V41
GPA: 3.27
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  03 Aug 2020, 08:14
What if p was 9 or 11? Then 9^2 = 18 + 1 = ODD, but p is also odd? The same would happen with 11
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 89459
CAT Tests Forum Quiz Mode
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  03 Aug 2020, 08:41
Expert Reply
db0108 wrote:
What if p was 9 or 11? Then 9^2 = 18 + 1 = ODD, but p is also odd? The same would happen with 11


9^2 = 81, not 18 and 81 + 1 is even not odd.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
avatar
B
db0108
Current Student
Joined: 29 Jun 2020
Posts: 12
Location: Canada
Schools: Judge '23 (A) Said '23 (A)
GMAT 1: 710 Q48 V41
GPA: 3.27
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  03 Aug 2020, 08:45
Bunuel wrote:
db0108 wrote:
What if p was 9 or 11? Then 9^2 = 18 + 1 = ODD, but p is also odd? The same would happen with 11


9^2 = 81, not 18 and 81 + 1 is even not odd.


Thank you, clearly I need more sleep!!
User avatar
G
sujoykrdatta
Tutor
Joined: 26 Jun 2014
Status:Mentor & Coach | GMAT Q51 | CAT 99.98
Posts: 446
Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  03 Aug 2020, 12:40
1
Kudos
Expert Reply
mashedpotatoooo wrote:
What about 0? Or is zero considered an even number? Many thanks!


Yes, 0 is considered even!

Even integer => Any integer divisible by 2; and 0 is divisible by 2 (any all other numbers except 0 itself - the quotient in each case is 0 itself !)

In fact: -2, -4, etc. are also even integers


Clearly, the answer is D:

From 1: p^2 + 1 = Odd => p^2 = Odd - 1 Odd - Odd = Even => p = Even - Sufficient
From 2: p + 2 = Even => p = Even - 2 = Even - Even = Even - Sufficient

Answer D
_________________
Sujoy Kr Datta | GMAT Q51 | CAT 99.99 | Mentor & Coach
Personalized Private Tutoring | IIT (Indian Institute of Technology) alumnus
Free GMAT mini Diagnostic | Connect on LinkedIn

Ask me anything about the GMAT Quant
Whats-App: +919433063089
Signature Read More
User avatar
G
Basshead
VP
VP
Joined: 09 Jan 2020
Posts: 1005
Location: United States
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  09 Nov 2020, 09:28
Is the integer p even?

(1) The integer p^2 + 1 is odd.

even + odd = odd

(2) The integer p + 2 is even.

even + even = even

Answer is D.
_________________
Help me get better -- please critique my responses!
Signature Read More
User avatar
P
rxb266
Manager
Manager
Joined: 30 Nov 2018
Posts: 214
Location: India
Concentration: Strategy, Marketing
Schools: HEC MiM '21 HEC Sept'22 Intake ISB '24 Rotman '24
GPA: 4
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post  04 May 2023, 12:46
Is the integer p even?

(1) The integer p^2 + 1 is odd.

Even +odd = odd
This means p^2 is even.. hence, p is even (sufficient)

(2) The integer p + 2 is even.

Even+even = even
This means that p is even.. (sufficient)

Ans Choice D
GMAT Club Bot
gmatclubot
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink]
04 May 2023, 12:46
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderator:
Bunuel
Math Expert
89459 posts

cron

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