NEW HERE? LEARN MORE
closeclose
Last visit was: 29 Apr 2024, 00:29 It is currently 29 Apr 2024, 00:29
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 x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92978
Own Kudos [?]: 619783 [2]
Given Kudos: 81615
Send PM
CAT Tests Forum Quiz Mode
Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny [#permalink] New post   29 Jan 2020, 02:00
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

64% (01:23) correct 36% (00:55) wrong based on 59 sessions
Hide Show timer Statistics
Is x > y > z ?

(1) x, y, and z are consecutive integers.
(2) nx > ny > nz, where n is an integer.
ShowHide Answer
Official Answer
E
User avatar
G
SaquibHGMATWhiz
GMATWhiz Representative
Joined: 23 May 2022
Posts: 640
Own Kudos [?]: 430 [2]
Given Kudos: 6
Location: India
GMAT 1: 760 Q51 V40
Send PM
Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny [#permalink] New post   04 Jan 2023, 07:53
2
Kudos
Expert Reply
Bunuel wrote:
Is x > y > z ?

(1) x, y, and z are consecutive integers.
(2) nx > ny > nz, where n is an integer.


Solution:
Pre Analysis:
  • We are asked if \(x>y>z\)

Statement 1: x, y, and z are consecutive integers
  • According to this statement, let us take 2 cases into consideration:
  • Case 1:x = 3, y = 2, z = 1
    • In this case, we can say \(x>y>z\)
  • Case 2:x = 1, y = 2, z = 3
    • In this case, we can say \(x<y<z\)
  • This statement is a TRAP!! Consecutive integers don't mean in any order
  • Thus, statement 1 alone is not sufficient and we can eliminate options A and D

Statement 2: \(nx > ny > nz\), where n is an integer
  • This statement is again a TRAP!!
  • You might want to cancel the n in the inequality and write it as \(x>y>z\)
  • However, that would be incorrect
  • Becasue if n is negative, then the sign would change
  • Thus, statement 2 alone is also not sufficient

Combining:
  • Even after combining, we cannot say if \(x>y>z\) or \(x<y<z\)
  • Because we do not know the positive negative nature of n

Hence the right answer is Option E
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92978
Own Kudos [?]: 619783 [1]
Given Kudos: 81615
Send PM
CAT Tests Forum Quiz Mode
Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny [#permalink] New post   04 Jan 2023, 03:09
1
Kudos
Expert Reply
GinoRako wrote:
Why is statement 1 not sufficient?

If X,Y,and Z are consecutive integers, then they could be 1,2,3 or -1,0,1 or -3,-2,-1?

What does consecutive integers otherwise mean than the above sets?

What do you mean when you say: It doesn't ensure the order of their magnitude hence Can you please elaborate on the meaning of ensuring the order of magnitude?

Thanks in advance!


The point here is that x, y, and z are consecutive integers does not necessarily mean that x < y < z. They can be in any order:

x < y < z;
x < z < y;
y < x < z;
y < z < y;
z < x < y;
z < y < x.

Hope it's clear.
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5969
Own Kudos [?]: 13403 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny [#permalink] New post   29 Jan 2020, 05:34
Expert Reply
Bunuel wrote:
Is x > y > z ?

(1) x, y, and z are consecutive integers.
(2) nx > ny > nz, where n is an integer.


Question: Is x > y > z ?

Statement 1: x, y, and z are consecutive integers.

It doesn't ensure the order of their magnitude hence

NOT SUFFICIENT

Statement 2: nx > ny > nz, where n is an integer

Case 1: @n = 1, x = 3, y = 2, z = 1 i.e. x > y > z
Case 2: @n = -1, x = -3, y = -2, z = -1 i.e. x < y < z

NOT SUFFICIENT

Combining the two statements

Case 1: @n = 1, x = 3, y = 2, z = 1 i.e. x > y > z
Case 2: @n = -1, x = -3, y = -2, z = -1 i.e. x < y < z

NOT SUFFICIENT

Answer: Option E
User avatar
B
GinoRako
Intern
Intern
Joined: 23 Nov 2021
Posts: 25
Own Kudos [?]: 4 [0]
Given Kudos: 3513
Send PM
Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny [#permalink] New post   04 Jan 2023, 02:32
Why is statement 1 not sufficient?

If X,Y,and Z are consecutive integers, then they could be 1,2,3 or -1,0,1 or -3,-2,-1?

What does consecutive integers otherwise mean than the above sets?

What do you mean when you say: It doesn't ensure the order of their magnitude hence Can you please elaborate on the meaning of ensuring the order of magnitude?

Thanks in advance!
User avatar
B
GinoRako
Intern
Intern
Joined: 23 Nov 2021
Posts: 25
Own Kudos [?]: 4 [0]
Given Kudos: 3513
Send PM
Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny [#permalink] New post   04 Jan 2023, 03:40
Bunuel

I got it! Thank you for your detailed explanation. To be honest, i overlooked that part.

Thanks again!
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32728
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny [#permalink] New post   17 Jan 2024, 03:33
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
gmatclubot
Re: Is x > y > z ? (1) x, y, and z are consecutive integers. (2) nx > ny [#permalink]
17 Jan 2024, 03:33
Moderator:
Bunuel
Math Expert
92977 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