NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 02:09 It is currently 25 Apr 2024, 02:09
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 largest of three consecutive integers odd?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92912
Own Kudos [?]: 618881 [5]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Is the largest of three consecutive integers odd? [#permalink] New post   28 Feb 2020, 02:26
5
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

77% (01:01) correct 23% (01:01) wrong based on 288 sessions
Hide Show timer Statistics
Is the largest of three consecutive integers odd?

(1) The product of the three integers is 0.
(2) The sum of the three integers is 0.
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
L
GMATWhizTeam
GMATWhiz Representative
Joined: 07 May 2019
Posts: 3409
Own Kudos [?]: 1800 [7]
Given Kudos: 68
Location: India
GMAT 1: 740 Q50 V41
GMAT 2: 760 Q51 V40
Send PM
Is the largest of three consecutive integers odd? [#permalink] New post   28 Feb 2020, 02:54
6
Kudos
1
Bookmarks
Expert Reply
Bunuel wrote:
Is the largest of three consecutive integers odd?

(1) The product of the three integers is 0.
(2) The sum of the three integers is 0.



Solution


Step 1: Analyse Question Stem


We need to see whether the largest of three consecutive integers is odd or not.

Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE


Statement 1: The product of three integers is 0.
    • It means one of the integers is 0, then only the product will be 0.
      o If integers are -1, 0, and 1, then the largest integer will be Odd.
      o If integers are 0, 1, and 2, then the largest integer will be Even.
Hence, statement 1 is not sufficient, we can eliminate answer options A and D
Statement 2: The sum of three integers is 0.
    • It means at least one of the integers is negative and the other is positive.
    • It is only possible when integers are -1, 0, and 1.
      o The largest integer is an odd integer.
Hence, statement 2 is sufficient, the correct answer is Option B.­
General Discussion
User avatar
G
ajaygaur319
Manager
Manager
Joined: 05 May 2019
Posts: 131
Own Kudos [?]: 556 [2]
Given Kudos: 143
Location: India
Schools: NYU Tech MBA "21
Send PM
Re: Is the largest of three consecutive integers odd? [#permalink] New post   28 Feb 2020, 03:44
2
Kudos
Is the largest of three consecutive integers odd?

Statement 1: The product of the three integers is 0.
If the product is 0 then the 3 integers can be
{-2, -1, 0} or {-1, 0, 1} or {0, 1, 2}
but we cannot determine which one is the largest integer.
Not Sufficient

Statement 2: The sum of the three integers is 0.
If the sum of 3 consecutive integers is 0 then 3 integers can be:
{-1, 0, 1} - No any other combination will suffice the condition.
Largest integer is 1 which is odd.
Sufficient

So, the answer is (B)
User avatar
L
CareerGeek
VP
VP
Joined: 20 Jul 2017
Posts: 1300
Own Kudos [?]: 3450 [1]
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Send PM
Re: Is the largest of three consecutive integers odd? [#permalink] New post   29 Feb 2020, 01:05
1
Kudos
(1) The product of the three integers is 0.
Case 1: 0*1*2 --> Largest = Even
Case 2: -1*0*1 --> Largest = Odd
--> Insufficient

(2) The sum of the three integers is 0.
Only 1 case is possible: -1 + 0 + 1 = 0 --> Largest = 1 (Odd) --> Sufficient

Option B
User avatar
S
cathygeorge123
Manager
Manager
Joined: 28 May 2014
Posts: 66
Own Kudos [?]: 53 [1]
Given Kudos: 164
Location: Singapore
Concentration: Strategy
Schools: INSEAD Jan'21 Intake
GMAT 1: 590 Q44 V27
Send PM
GMAT ToolKit User Reviews Badge
Is the largest of three consecutive integers odd? [#permalink] New post   29 Feb 2020, 02:08
1
Kudos
Bunuel wrote:
Is the largest of three consecutive integers odd?

(1) The product of the three integers is 0.
(2) The sum of the three integers is 0.
 

Given : Three consecutive INTEGERS x, (x+1) and (x+2)
To Find : Is (x+2)=Odd?
or is x=Odd? ( because Odd-2= Odd-Even=Odd)

St1: (x)(x+1)(x+2)=0
we could have the following possibility {0,1,2} , {-1,0,1}, {-2,-1,0} where x=0(Even) or -1(Odd) or -2 (Even)
Not Sufficient

St 2: x + x+1 + x+ 2=0
3x +3 =0
x=-1 -->Odd
Sufficient

Ans: (B)­
User avatar
B
cburanawit
Intern
Intern
Joined: 31 Jul 2022
Posts: 8
Own Kudos [?]: 2 [0]
Given Kudos: 94
Location: Thailand
Schools: Columbia J-Term'25 (A)
GMAT 1: 700 Q47 V39
GPA: 3.5
Send PM
Re: Is the largest of three consecutive integers odd? [#permalink] New post   10 Jun 2023, 09:37
Hi Bunuel! I wonder whether by today's standard this question should be framed more precisely as to mention excluding 'consecutive even' and 'consecutive odd' sequence
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92912
Own Kudos [?]: 618881 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: Is the largest of three consecutive integers odd? [#permalink] New post   10 Jun 2023, 09:43
Expert Reply
cburanawit wrote:
Hi Bunuel! I wonder whether by today's standard this question should be framed more precisely as to mention excluding 'consecutive even' and 'consecutive odd' sequence


No, the question is perfectly OK. We are given three consecutive integers and are asked whether the largest of them is odd. The sequence can be {odd, even, odd} or {even, odd, even}, so the question asks whether we have the first case.
User avatar
B
cburanawit
Intern
Intern
Joined: 31 Jul 2022
Posts: 8
Own Kudos [?]: 2 [0]
Given Kudos: 94
Location: Thailand
Schools: Columbia J-Term'25 (A)
GMAT 1: 700 Q47 V39
GPA: 3.5
Send PM
Is the largest of three consecutive integers odd? [#permalink] New post   11 Jun 2023, 21:45
Bunuel wrote:
cburanawit wrote:
Hi Bunuel! I wonder whether by today's standard this question should be framed more precisely as to mention excluding 'consecutive even' and 'consecutive odd' sequence


No, the question is perfectly OK. We are given three consecutive integers and are asked whether the largest of them is odd. The sequence can be {odd, even, odd} or {even, odd, even}, so the question asks whether we have the first case.


Bunuel
But in consecutive odd integers, for example: x, x+2, x+4 or 3,5,7, this is also called a consecutive sequence right? Most times when I encounter questions dealing with consecutive numbers I always thought they meant 'a series of evenly spaced numbers which includes both all even, all odd, or a mixture of both'. Any tips on the language cue? Thank you for your clarification!
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92912
Own Kudos [?]: 618881 [1]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: Is the largest of three consecutive integers odd? [#permalink] New post   11 Jun 2023, 23:40
1
Kudos
Expert Reply
cburanawit wrote:
Bunuel wrote:
cburanawit wrote:
Hi Bunuel! I wonder whether by today's standard this question should be framed more precisely as to mention excluding 'consecutive even' and 'consecutive odd' sequence


No, the question is perfectly OK. We are given three consecutive integers and are asked whether the largest of them is odd. The sequence can be {odd, even, odd} or {even, odd, even}, so the question asks whether we have the first case.


Bunuel
But in consecutive odd integers, for example: x, x+2, x+4 or 3,5,7, this is also called a consecutive sequence right? Most times when I encounter questions dealing with consecutive numbers I always thought they meant 'a series of evenly spaced numbers which includes both all even, all odd, or a mixture of both'. Any tips on the language cue? Thank you for your clarification!



"Consecutive integers" ALWAYS mean integers that follow each other in order with common difference of 1: ... x-3, x-2, x-1, x, x+1, x+2, ....

For example:

-7, -6, -5 are consecutive integers.

2, 4, 6 ARE NOT consecutive integers, they are consecutive even integers.

1, 3, 5 ARE NOT consecutive integers, they are consecutive odd integers.
GMAT Club Bot
gmatclubot
Re: Is the largest of three consecutive integers odd? [#permalink]
11 Jun 2023, 23:40
Moderator:
Bunuel
Math Expert
92904 posts

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