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

It is currently 20 Oct 2018, 14:23

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.

Close

Request Expert Reply

Confirm Cancel

If m, n, and p are integers, is m + n odd?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
User avatar
Joined: 14 May 2013
Posts: 10
If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post Updated on: 26 Jun 2013, 09:33
3
8
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (01:49) correct 30% (02:03) wrong based on 370 sessions

HideShow timer Statistics

If m, n, and p are integers, is m + n odd?

(1) m = p^2 + 4p + 4
(2) n = p^2 + 2m + 1

_________________

Chauahan Gaurav
Keep Smiling :)


Originally posted by ichauhan.gaurav on 26 Jun 2013, 09:22.
Last edited by Bunuel on 26 Jun 2013, 09:33, edited 1 time in total.
RENAMED THE TOPIC.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50007
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 26 Jun 2013, 09:32
6
4
If m, n, and p are integers, is m + n odd?

(1) m = p^2 + 4p + 4. Not sufficient.

(2) n = p^2 + 2m + 1. Not sufficient.

(1)+(2) Add (1) and (2) \(m+n=p^2 + 4p + 4 + p^2 + 2m + 1=2p^2+4p+2m+5=2(p^2+2p+m)+5=even+odd=odd\). Sufficient.

Answer: C.

P.S. Please name the topics properly (rule #3 here: new-to-the-math-forum-please-read-this-first-140445.html).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Senior Manager
Senior Manager
avatar
B
Joined: 24 Aug 2009
Posts: 475
Schools: Harvard, Columbia, Stern, Booth, LSB,
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 26 Jun 2013, 09:42
If m, n, and p are integers, is m + n odd?
(1) m = p^2 + 4p + 4
(2) n = p^2 + 2m + 1

Statement 1-
If p is Odd then m - odd + even + even = Odd
If p is Even then m - Even + even + even = Even
Insufficient (still value of n is missing)

Statement 2-
If p is Odd then n - odd + even + odd = Even
If p is Even then n - Even + even + odd = Odd
Insufficient (still value of M is missing)

Statement 1& 2-
If p is Odd then m = Odd
& n = Even
M+ n = Odd

If p is Even then m = Even
& n = Odd
M+ n = Odd

Sufficient

Thus answer C
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Senior Manager
Senior Manager
avatar
Joined: 15 Aug 2013
Posts: 251
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 06 Nov 2014, 17:44
Hi,

Why can't we factor M into (p+1)^2, which yields P = -1. Doesn't that lock in one of the variables to begin with? I realize that it won't give us a different answer but why isn't that a valid approach?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50007
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 07 Nov 2014, 04:31
russ9 wrote:
Hi,

Why can't we factor M into (p+1)^2, which yields P = -1. Doesn't that lock in one of the variables to begin with? I realize that it won't give us a different answer but why isn't that a valid approach?


It's not clear what approach you are talking about. Please show your work in details.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Current Student
User avatar
Status: GMAT Date: 10/08/15
Joined: 17 Jul 2014
Posts: 87
Location: United States (MA)
Concentration: Human Resources, Strategy
GMAT 1: 640 Q48 V35
GPA: 3.5
WE: Human Resources (Consumer Products)
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 04 Sep 2015, 12:29
Bunuel,

If we try 0 for p then m+n is even. So shouldn't the answer be E

Could you clarify...
_________________

Thanks,
aimtoteach


~~~~~~~~~~~~~~~~~

Please give Kudos if you find this post useful.

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50007
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 05 Sep 2015, 04:11
Current Student
User avatar
B
Status: DONE!
Joined: 05 Sep 2016
Posts: 384
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 10 Nov 2016, 13:59
(1) m = p^2 +4p+4

p=0 --> m=4
p=1 --> m=9
p=2 --> m=16

NOT SUFFICIENT

(2) n=p^2 +2p+1

p=0 --> m=1
p=1 --> m=4
p=2 --> m=9

NOT SUFFICIENT

(1) + (2)
p=0 --> m+n=5
p=1 --> m+n=13

SUFFICIENT
Current Student
avatar
B
Joined: 26 Jan 2016
Posts: 108
Location: United States
GPA: 3.37
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 10 Nov 2016, 16:42
If m, n, and p are integers, is m + n odd?

(1) m = p^2 + 4p + 4
(2) n = p^2 + 2m + 1

1. m = p^2 + 4p + 4

This doesn't tell us anything about N so its insuff.

However if you'd like to factor it you get (p+2)(p+2)=m
or p=m-2

2. n = p^2 + 2m + 1

Here you can plug in numbrs.
Depending on what you plug in n can be even or odd. Insuff

1+2
if you take the equation p=m-2 and plug it into the equation for statement 2 you get
m²-4m+4+2m+1=n
m²-2m+5=n

try plugging an even number for m (4)
16-8+5=13
e+o=odd

Now plug in an odd (3)

9-6=3+5=even

n and m are opposites so the sum is always odd
Intern
Intern
avatar
B
Joined: 18 May 2016
Posts: 29
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 27 Jan 2017, 19:12
Alternative answer:

1/ Rewrite m as (p+2)^2
2/ plug in m in n to express n solely in function of p: you get n=3p^2+8p+9
3/ Test for p=even if you get n+m=odd
4/ Test for p=odd if you get n+m=odd
5/ since 3 and 4 coincide (for p even and p odd we get n+m=odd), we can be sure using Statement 1 and 2 that m+n is odd.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8484
Premium Member
Re: If m, n, and p are integers, is m + n odd?  [#permalink]

Show Tags

New post 02 Mar 2018, 12:20
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If m, n, and p are integers, is m + n odd? &nbs [#permalink] 02 Mar 2018, 12:20
Display posts from previous: Sort by

If m, n, and p are integers, is m + n odd?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.