GMAT Changed on April 16th - Read about the latest changes here

It is currently 23 May 2018, 08:09

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

Events & Promotions in June
Open Detailed Calendar

If a, b and c are consecutive positive integers and a < b < c, which

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45302
If a, b and c are consecutive positive integers and a < b < c, which [#permalink]

Show Tags

New post 10 May 2018, 02:14
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:16) correct 29% (01:02) wrong based on 41 sessions

HideShow timer Statistics

If a, b and c are consecutive positive integers and a < b < c, which of the following must be an odd integer?

A. abc
B. a + b + c
C. a + bc
D. a(b + c)
E. (a + b)(b + c)

_________________

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: 31 Oct 2013
Posts: 140
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
Re: If a, b and c are consecutive positive integers and a < b < c, which [#permalink]

Show Tags

New post 10 May 2018, 02:21
Bunuel wrote:
If a, b and c are consecutive positive integers and a < b < c, which of the following must be an odd integer?

A. abc
B. a + b + c
C. a + bc
D. a(b + c)
E. (a + b)(b + c)



let's assume the value of a, b , c

2<3<4
1<2<3

E. (2+3) (3+4) =35
(1+2) (2+3) =15

Thus E is the best answer.
Intern
Intern
User avatar
B
Status: Studying Quant
Joined: 04 Sep 2017
Posts: 29
GPA: 3.6
WE: Sales (Computer Software)
Re: If a, b and c are consecutive positive integers and a < b < c, which [#permalink]

Show Tags

New post 10 May 2018, 04:21
Bunuel wrote:
If a, b and c are consecutive positive integers and a < b < c, which of the following must be an odd integer?

A. abc
B. a + b + c
C. a + bc
D. a(b + c)
E. (a + b)(b + c)


Your consecutive integers will either be odd+even+odd or even+odd+even

A. Anything that is multiplied by an even will be even. Eliminate answer A.
B. odd+even+odd= even. Eliminate answer B.
C. a can be odd or even. bc has to be even. even+even=odd. Eliminate answer C.
D. Anything that is multiplied by an even will be even. If a is even, we will have (even+even)=even. Eliminate D.
E. even+odd=odd. So a+b=odd and b+c=odd. --> Odd x odd = Odd. Answer E MUST be odd.
Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2611
Location: United States (CA)
Re: If a, b and c are consecutive positive integers and a < b < c, which [#permalink]

Show Tags

New post 13 May 2018, 17:56
Bunuel wrote:
If a, b and c are consecutive positive integers and a < b < c, which of the following must be an odd integer?

A. abc
B. a + b + c
C. a + bc
D. a(b + c)
E. (a + b)(b + c)


Since a, b, and c are consecutive integers, we see that a and c could both be even while b is odd, OR a and c could both be odd while b is even.

Since even + odd = odd, we see that a + b will always be odd, and b + c will always be odd; and, since odd x odd = odd we see that , (a + b)(b + c) will always be odd.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If a, b and c are consecutive positive integers and a < b < c, which   [#permalink] 13 May 2018, 17:56
Display posts from previous: Sort by

If a, b and c are consecutive positive integers and a < b < c, which

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.