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

It is currently 15 Dec 2018, 20:23

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 02 Oct 2015, 00:42
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:45) correct 12% (00:48) wrong based on 89 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7108
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 02 Oct 2015, 01:05
Bunuel wrote:
If x is a positive integer, is x even?

(1) 5x is even.
(2) x – 5 is odd.


Kudos for a correct solution.



(1) 5x is even.
Suff as X has to be even
(2) x – 5 is odd.
again suff as x has to be even
ans D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
Joined: 19 Dec 2014
Posts: 35
GMAT ToolKit User
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 02 Oct 2015, 10:50
1
Odd * odd = odd ------ a
odd * even = even-----b

odd - odd = even-------c
even - odd = odd-------d

1) 5x is even

From B -- sufficient

2) x - 5 is odd

from D -- sufficient

answer = D
Intern
Intern
User avatar
B
Status: Focus - Determination - Domination
Joined: 02 Mar 2015
Posts: 37
Location: India
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 02 Oct 2015, 11:59
Bunuel wrote:
If x is a positive integer, is x even?

(1) 5x is even.
(2) x – 5 is odd.


Kudos for a correct solution.


Statement (1)
5x is even, hence x is even because odd*even=even
Sufficient.

Statement (2)
x-5 is odd, hence x is even because even-odd= odd.

Sufficient.

Ans :- D
_________________

Let's Rock!

Director
Director
User avatar
B
Joined: 10 Mar 2013
Posts: 503
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 03 Oct 2015, 10:16
Bunuel wrote:
If x is a positive integer, is x even?

(1) 5x is even.
(2) x – 5 is odd.
Kudos for a correct solution.


x>0, x=even ?
1) 5x=even, on order 5x to be even x must be even Sufficient
2) even-odd=odd, odd-odd=even Sufficient,
Answer D
_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 06 Oct 2015, 07:03
Bunuel wrote:
If x is a positive integer, is x even?

(1) 5x is even.
(2) x – 5 is odd.


Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Question Type: Yes/No This question asks whether x is even.

Given information from the question stem: x is a positive integer.

Statement 1: 5x is even. If the product of multiplication is even then at least one of the numbers being multiplied must be even. 5 is odd so x must be even. This is sufficient. The answer is either A or D. Keep in mind here the importance of leveraging the “x is an integer” portion of the question stem. Had that not been in place, a number like 2/5 would have also worked here, as 5 (2/5 ) = 2, an even integer. But the question limits you to only using integers, so you are allowed to employ even/odd number property concepts here.

Statement 2: x – 5 is odd. In order to get an odd result from the addition or subtraction of integers you need to have one odd and one even number. Since 5 is odd x must be even. This is sufficient as well.

The correct answer is D.
_________________

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

Manager
Manager
avatar
B
Joined: 26 Sep 2016
Posts: 62
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 26 Feb 2018, 04:52
Hi,
Would anything change if it wasn't given that x is a positive integer? No , right?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 26 Feb 2018, 04:59
1
deucebigalow wrote:
Hi,
Would anything change if it wasn't given that x is a positive integer? No , right?


If only "positive" were omitted, then no, the answer still would have been D.

If we were not told that x is an integer, then the answer would have been B, (1) would not be sufficient (consider x = 2/5).
_________________

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

Intern
Intern
avatar
B
Joined: 29 Nov 2017
Posts: 4
Location: India
GPA: 4
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd  [#permalink]

Show Tags

New post 26 Feb 2018, 05:11
I. 5x is even .

As 5 is a prime number , x has to be an even number so that 5x is even .

Sufficient .

II. x-5 is odd

That implies x-5 is of the form
2n+1 ......where n is a natural number

X-5=2n+1
X= 2n+6
X=2(n+3)

Sufficient.

Answer : D

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
GMAT Club Bot
Re: If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is odd &nbs [#permalink] 26 Feb 2018, 05:11
Display posts from previous: Sort by

If x is a positive integer, is x even? (1) 5x is even (2) x – 5 is 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®.