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

 It is currently 18 Aug 2018, 09:16

### 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

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

# If x, y, and z are three integers, are they consecutive integers?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47983
If x, y, and z are three integers, are they consecutive integers?  [#permalink]

### Show Tags

10 Dec 2017, 00:51
00:00

Difficulty:

25% (medium)

Question Stats:

65% (00:40) correct 35% (00:44) wrong based on 82 sessions

### HideShow timer Statistics

If x, y, and z are three integers, are they consecutive integers?

(1) z = x + 2
(2) None of the three integers are multiples of 3.

_________________
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1201
Location: India
GPA: 3.82
If x, y, and z are three integers, are they consecutive integers?  [#permalink]

### Show Tags

10 Dec 2017, 03:33
Bunuel wrote:
If x, y, and z are three integers, are they consecutive integers?

(1) z = x + 2
(2) None of the three integers are multiples of 3.

Statement 1: Nothing mentioned about $$y$$. Insufficient

Statement 2: Among any three consecutive integers one of them have to be a multiple of $$3$$. As none are multiple of $$3$$, hence they are not consecutive. Sufficient

Option B
Intern
Joined: 14 Jan 2017
Posts: 3
Re: If x, y, and z are three integers, are they consecutive integers?  [#permalink]

### Show Tags

10 Dec 2017, 06:12
Hi,

Can someone clarify why the sequence can't be 0,1 and 2? Does 0*3=0 count as a multiple of 3?
Math Expert
Joined: 02 Sep 2009
Posts: 47983
Re: If x, y, and z are three integers, are they consecutive integers?  [#permalink]

### Show Tags

10 Dec 2017, 06:19
6urra wrote:
Hi,

Can someone clarify why the sequence can't be 0,1 and 2? Does 0*3=0 count as a multiple of 3?

ZERO:

1. 0 is an integer.

2. 0 is an even integer. An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder and as zero is evenly divisible by 2 then it must be even.

3. 0 is neither positive nor negative integer (the only one of this kind).

4. 0 is divisible by EVERY integer except 0 itself.

For more check below:
ALL YOU NEED FOR QUANT ! ! !

Hope it helps.
_________________
Intern
Joined: 27 Apr 2015
Posts: 40
GMAT 1: 370 Q29 V13
Re: If x, y, and z are three integers, are they consecutive integers?  [#permalink]

### Show Tags

14 Dec 2017, 09:01
Bunuel wrote:
If x, y, and z are three integers, are they consecutive integers?

(1) z = x + 2
(2) None of the three integers are multiples of 3.

Statement 1 Since relation of y wrt x or z not clear. Therefore NOT SUFFICIENT

Statement 2 Case 1-> 0,1,2 None of the 3 integers divisible by 3 but are CONSECUTIVE
Case 2-> 1,3,7 None of the 3 integers divisible by 3 & are NOT CONSECUTIVE
Since no unique answer, therefore Statement 2 NOT SUFFICIENT

BOTH 1 & 2 -> does not give a UNIQUE ANSWER, since y relation wrt to x or z not clear it could be (0,1,2) or (1,3,7) or any 3 integers( none multiple of 3 and z=x+2)

Therefore IMHO option "E"
PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1201
Location: India
GPA: 3.82
Re: If x, y, and z are three integers, are they consecutive integers?  [#permalink]

### Show Tags

14 Dec 2017, 09:19
dineshril wrote:
Bunuel wrote:
If x, y, and z are three integers, are they consecutive integers?

(1) z = x + 2
(2) None of the three integers are multiples of 3.

Statement 1 Since relation of y wrt x or z not clear. Therefore NOT SUFFICIENT

Statement 2 Case 1-> 0,1,2 None of the 3 integers divisible by 3 but are CONSECUTIVE
Case 2-> 1,3,7 None of the 3 integers divisible by 3 & are NOT CONSECUTIVE
Since no unique answer, therefore Statement 2 NOT SUFFICIENT

BOTH 1 & 2 -> does not give a UNIQUE ANSWER, since y relation wrt to x or z not clear it could be (0,1,2) or (1,3,7) or any 3 integers( none multiple of 3 and z=x+2)

Therefore IMHO option "E"

Hi dineshril

the highlighted portion is not correct. 0 is divisible by every number 0/3=0.
Bunuel has explained the properties of 0 in the earlier post. You may check it for reference.
Intern
Joined: 27 Apr 2015
Posts: 40
GMAT 1: 370 Q29 V13
Re: If x, y, and z are three integers, are they consecutive integers?  [#permalink]

### Show Tags

14 Dec 2017, 11:26
niks18 wrote:
dineshril wrote:
Bunuel wrote:
If x, y, and z are three integers, are they consecutive integers?

(1) z = x + 2
(2) None of the three integers are multiples of 3.

Statement 1 Since relation of y wrt x or z not clear. Therefore NOT SUFFICIENT

Statement 2 Case 1-> 0,1,2 None of the 3 integers divisible by 3 but are CONSECUTIVE
Case 2-> 1,3,7 None of the 3 integers divisible by 3 & are NOT CONSECUTIVE
Since no unique answer, therefore Statement 2 NOT SUFFICIENT

BOTH 1 & 2 -> does not give a UNIQUE ANSWER, since y relation wrt to x or z not clear it could be (0,1,2) or (1,3,7) or any 3 integers( none multiple of 3 and z=x+2)

Therefore IMHO option "E"

Hi dineshril

the highlighted portion is not correct. 0 is divisible by every number 0/3=0.
Bunuel has explained the properties of 0 in the earlier post. You may check it for reference.

Hi Niks
Thanks for the correction. Agree with BUNUEL

I then go with your analysis. Option "B" should be the right choice-since in any 3 consecutive Integers (1) One of the integer MUST be divisible by 3 and (2) SUM of 3 consecutive integers WILL ALWAYS be divisible by 3. So UNIQUE solution - all 3 integers are not consecutive.
Re: If x, y, and z are three integers, are they consecutive integers? &nbs [#permalink] 14 Dec 2017, 11:26
Display posts from previous: Sort by

# Events & Promotions

 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®.