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

It is currently 13 Nov 2018, 22:58

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Essential GMAT Time-Management Hacks

     November 14, 2018

     November 14, 2018

     07:00 PM PST

     08:00 PM PST

    Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

When the integer n is divided by 8, the remainder is 5. Which of the

  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: 50578
When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post 23 Jul 2015, 02:11
2
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

84% (01:13) correct 16% (01:28) wrong based on 172 sessions

HideShow timer Statistics

When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?

A. n + 3
B. n/2 + 3.5
C. n – 3
D. 3n + 1
E. 5n + 2


Kudos for a correct solution.

_________________

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

CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2635
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post 23 Jul 2015, 03:04
Bunuel wrote:
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?

A. n + 3
B. n/2 + 3.5
C. n – 3
D. 3n + 1
E. 5n + 2


Kudos for a correct solution.


Given number = N =8p+5 ---> the number N is odd.

Thus ,

A. n + 3
n+3 = odd + odd = even. Thus not correct.

B. n/2 + 3.5
As n is odd, thus n/2 = abc.5 (where c = even) ---> abc.5+3.5 = abc+3+0.5+0.5 = even+odd+1= odd+1=even. Thus not correct.

C. n – 3
n-3 = odd - odd = even. Thus not correct.

D. 3n + 1
As n =odd, 3n=odd and 3n+1 = odd + odd = even. Thus not correct.

E. 5n + 2
As n =odd, 5n= odd --->5n+2 = odd + even = odd. Thus correct.
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2698
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post Updated on: 23 Jul 2015, 05:33
1
Bunuel wrote:
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?

A. n + 3
B. n/2 + 3.5
C. n – 3
D. 3n + 1
E. 5n + 2


Kudos for a correct solution.


One possible Value of n = 8 + 5 = 13
Second possible Value of n = 8*2 + 5 = 21

@n = 13

A. n + 3 = 16 = Even
B. n/2 + 3.5 = 13/2+3.5 = 10 = Even
C. n – 3 = 13-3 = 10 = Even
D. 3n + 1 = 3*13+1 = 40 = even
E. 5n + 2 = 5*13+2 = 67 = ODD thus CORRECT OPTION

Answer: option E
_________________

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


Originally posted by GMATinsight on 23 Jul 2015, 05:25.
Last edited by GMATinsight on 23 Jul 2015, 05:33, edited 1 time in total.
Manager
Manager
User avatar
Joined: 22 Feb 2015
Posts: 56
Location: United States
Concentration: Finance, Operations
GMAT Date: 04-01-2015
GPA: 3.98
When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post Updated on: 23 Jul 2015, 05:35
1
From question we get n=8Q+5. so we can conclude n is odd

we have to check each option

A. n + 3 odd + odd = Even


B. n/2 + 3.5 take LCM (n+7)/2 Even


C. n – 3 Odd - Odd = Even

D. 3n + 1 Odd + Odd = Even

E. 5n + 2 Odd + Even = Odd (Not Even)

So E is the correct Answer Choice
_________________

Click +1 KUDOS , You can make me happy with just one click! :-) Thanks


Originally posted by cutegirlsimran on 23 Jul 2015, 05:30.
Last edited by cutegirlsimran on 23 Jul 2015, 05:35, edited 1 time in total.
CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2635
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post 23 Jul 2015, 05:30
GMATinsight wrote:
Bunuel wrote:
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?

A. n + 3
B. n/2 + 3.5
C. n – 3
D. 3n + 1
E. 5n + 2


Kudos for a correct solution.


One possible Value of n = 8 + 5 = 13
Second possible Value of n = 8*2 + 5 = 21

@n = 13

A. n + 3 = 16 = Even
B. n/2 + 3.5 = 13/2+3.5 = 10 = Even
C. n – 3 = 13-3 = 10 = Even
D. 3n + 1 = 3*8+1 = 25 = Odd thus CORRECT OPTION
E. 5n + 2 = 5*8+2 = 42 = even

Answer: option D


GMATinsight, you are using n =13 in options A-C while you use n =8 (an incorrect value) in options D and E.
Manager
Manager
User avatar
Joined: 03 Sep 2014
Posts: 74
Concentration: Marketing, Healthcare
Premium Member
Re: When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post 23 Jul 2015, 05:32
1
Bunuel wrote:
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?

A. n + 3
B. n/2 + 3.5
C. n – 3
D. 3n + 1
E. 5n + 2
Kudos for a correct solution.


n divided by 8 gives a remainder 5

Possible values of n = 5, 13, 21, 29, 37, 45....

A) n + 3 => 8, 16, 24...---- Incorrect

B) n/2 + 3.5 = 1/2(n + 7) = 6, 10...---- Incorrect

C) n - 3 = 2, 10, 18...---- Incorrect

D) 3n + 1 = 16, 40...---- Incorrect

E) 5n + 2 = 27, 67...---- Correct


Hence answer is E
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2698
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post 23 Jul 2015, 05:37
Engr2012 wrote:
GMATinsight wrote:
Bunuel wrote:
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?

A. n + 3
B. n/2 + 3.5
C. n – 3
D. 3n + 1
E. 5n + 2


Kudos for a correct solution.


One possible Value of n = 8 + 5 = 13
Second possible Value of n = 8*2 + 5 = 21

@n = 13

A. n + 3 = 16 = Even
B. n/2 + 3.5 = 13/2+3.5 = 10 = Even
C. n – 3 = 13-3 = 10 = Even
D. 3n + 1 = 3*8+1 = 25 = Odd thus CORRECT OPTION
E. 5n + 2 = 5*8+2 = 42 = even

Answer: option D


GMATinsight, you are using n =13 in options A-C while you use n =8 (an incorrect value) in options D and E.


Haha... I immediately realized and corrected but you are much faster in typing so no kudos for this correction. :) :wink:
_________________

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

Director
Director
avatar
G
Joined: 21 May 2013
Posts: 652
Re: When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post 23 Jul 2015, 09:11
Bunuel wrote:
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?

A. n + 3
B. n/2 + 3.5
C. n – 3
D. 3n + 1
E. 5n + 2


Kudos for a correct solution.


n=5,13,21 and so on
if n=5, then
A=n+3=8
B=n/2+3.5=6
C=n-3=2
D=3n+1=16
E=5n+2=27

Answer E
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50578
Re: When the integer n is divided by 8, the remainder is 5. Which of the  [#permalink]

Show Tags

New post 26 Jul 2015, 11:15
Bunuel wrote:
When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?

A. n + 3
B. n/2 + 3.5
C. n – 3
D. 3n + 1
E. 5n + 2


Kudos for a correct solution.


800score Official Solution:

The most efficient way to solve this problem is to substitute a possible value of n into the answer choices and see which one is not an even number. n could be 5, 13, 21, etc. Let’s substitute these trial numbers.

Let’s choose 5:
(A) 5 + 3 = 8. This is EVEN.
(B) 5/2 + 3.5 = 6. This is EVEN.
(C) 5 – 3 = 2. This is EVEN.
(D) 3(5) + 1 = 16. This is EVEN.
(E) 5(5) + 2 = 27. This is ODD.

The correct answer is choice (E), since this is the only answer choice that produced an odd with n = 5.

Note: 5 divided by 8 is 0 with a remainder of 5. When you are looking for the remainder, you should stop dividing when continuing to do so would result in a decimal. For example, 13 divided by 8 has a remainder of 5. Dividing until you have 1.625 is not helpful here.
_________________

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

GMAT Club Bot
Re: When the integer n is divided by 8, the remainder is 5. Which of the &nbs [#permalink] 26 Jul 2015, 11:15
Display posts from previous: Sort by

When the integer n is divided by 8, the remainder is 5. Which of the

  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®.