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

It is currently 24 Aug 2019, 00:49

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

If n, w, x, y and z are different integers such that (n– w)(n – x)(n –

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

Hide Tags

Find Similar Topics 
Director
Director
avatar
P
Joined: 19 Oct 2018
Posts: 790
Location: India
Premium Member
If n, w, x, y and z are different integers such that (n– w)(n – x)(n –  [#permalink]

Show Tags

New post 20 Jul 2019, 18:39
1
2
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:45) correct 33% (01:50) wrong based on 21 sessions

HideShow timer Statistics

If n, w, x, y and z are different integers such that (n– w)(n – x)(n – y)(n – z) = 4. Which of the following can't be the value of difference between w and z?

A. -1
B. 1
C. 3
D. 4
E. 5
Director
Director
avatar
P
Joined: 20 Jul 2017
Posts: 637
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
If n, w, x, y and z are different integers such that (n– w)(n – x)(n –  [#permalink]

Show Tags

New post 20 Jul 2019, 21:19
1
nick1816 wrote:
If n, w, x, y and z are different integers such that (n– w)(n – x)(n – y)(n – z) = 4. Which of the following can't be the value of difference between w and z?

A. -1
B. 1
C. 3
D. 4
E. 5


The only possible way of getting product 4 = -2 x -1 x 1 x 2
--> Possible arrangements of given integers can be as shown with the difference between successive integers = 1 unit on a number line with 'n' always at the center
Case 1: "w -- x -- n -- z -- y" Difference b/w "w & z" = 3 units
Case 2: "w -- x -- n -- y -- z" Difference b/w "w & z" = 4 units
Case 3: "x -- w -- n -- z -- y" Difference b/w "w & z" = 2 units
Case 4: "z -- w -- n -- x -- y" Difference b/w "w & z" = 1 units
Case 5: "w -- z -- n -- x -- y" Value of "w - z" = -1 units

So, the difference can never be 5 units between w & z

IMO Option E

However, Difference can never be negative also!!
So, Option 1 can also be the answer?

Pls Hit Kudos if you like the solution
Manager
Manager
User avatar
G
Joined: 08 Apr 2019
Posts: 149
Location: India
GPA: 4
CAT Tests
Re: If n, w, x, y and z are different integers such that (n– w)(n – x)(n –  [#permalink]

Show Tags

New post 20 Jul 2019, 21:22
1
Dillesh4096 wrote:
nick1816 wrote:
If n, w, x, y and z are different integers such that (n– w)(n – x)(n – y)(n – z) = 4. Which of the following can't be the value of difference between w and z?

A. -1
B. 1
C. 3
D. 4
E. 5


The only possible way of getting product 4 = -2 x -1 x 1 x 2
--> Possible arrangements of given integers can be as shown with the difference between successive integers = 1 unit on a number line with 'n' always at the center
Case 1: "w -- x -- n -- z -- y" Difference b/w "w & z" = 3 units
Case 2: "w -- x -- n -- y -- z" Difference b/w "w & z" = 4 units
Case 3: "x -- w -- n -- z -- y" Difference b/w "w & z" = 2 units
Case 4: "z -- w -- n -- x -- y" Difference b/w "w & z" = 1 units
Case 5: "w -- z -- n -- x -- y" Value of "w - z" = -1 units

So, the difference can never be 5 units between w & z

IMO Option E

However, Difference can never be negative also!!
So, Option 1 can also be the answer?

Pls Hit Kudos if you like the solution


Dillesh4096 the difference can be -1; if n-z = 1 and n-w = 2, then (n-z) - (n-w) = w-z = 1-2 = -1
Director
Director
avatar
P
Joined: 20 Jul 2017
Posts: 637
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: If n, w, x, y and z are different integers such that (n– w)(n – x)(n –  [#permalink]

Show Tags

New post 20 Jul 2019, 21:48
RJ7X0DefiningMyX wrote:
Dillesh4096 wrote:
nick1816 wrote:
If n, w, x, y and z are different integers such that (n– w)(n – x)(n – y)(n – z) = 4. Which of the following can't be the value of difference between w and z?

A. -1
B. 1
C. 3
D. 4
E. 5


The only possible way of getting product 4 = -2 x -1 x 1 x 2
--> Possible arrangements of given integers can be as shown with the difference between successive integers = 1 unit on a number line with 'n' always at the center
Case 1: "w -- x -- n -- z -- y" Difference b/w "w & z" = 3 units
Case 2: "w -- x -- n -- y -- z" Difference b/w "w & z" = 4 units
Case 3: "x -- w -- n -- z -- y" Difference b/w "w & z" = 2 units
Case 4: "z -- w -- n -- x -- y" Difference b/w "w & z" = 1 units
Case 5: "w -- z -- n -- x -- y" Value of "w - z" = -1 units

So, the difference can never be 5 units between w & z

IMO Option E

However, Difference can never be negative also!!
So, Option 1 can also be the answer?

Pls Hit Kudos if you like the solution


Dillesh4096[/url] the difference can be -1; if n-z = 1 and n-w = 2, then (n-z) - (n-w) = w-z = 1-2 = -1


RJ7X0DefiningMyX
Difference between any 2 values on a number line can never be negative. That’s the definition of the word Difference.

Yes a “-1” VALUE is possible (Not difference) as I have mentioned in the highlighted part!

Posted from my mobile device
Manager
Manager
avatar
S
Joined: 26 Jan 2016
Posts: 179
CAT Tests
Re: If n, w, x, y and z are different integers such that (n– w)(n – x)(n –  [#permalink]

Show Tags

New post 20 Jul 2019, 22:59
In this case are we assuming n =0?
What if n is some other integer?

Posted from my mobile device
_________________
Your Kudos can boost my morale..!!

I am on a journey. Gradually I'll there..!!
Director
Director
avatar
P
Joined: 20 Jul 2017
Posts: 637
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: If n, w, x, y and z are different integers such that (n– w)(n – x)(n –  [#permalink]

Show Tags

New post 20 Jul 2019, 23:04
kitipriyanka wrote:
In this case are we assuming n =0?
What if n is some other integer?

Posted from my mobile device


kitipriyanka

No, we are not assuming n as 0.
In fact, n can be any value, its the difference between the integers which is taken a 1 unit on a number line

Eg: Take
Case 1: "w -- x -- n -- z -- y" Difference b/w "w & z" = 3 units
It can be (-2) -- (-1) -- 0 -- 1 -- 2 --> Difference = 1 -(-2) = 3 units
or
5 -- 6 -- 7 -- 8 -- 9 --> Difference = 8 - 5 = 3 units

Hope it's clear!
GMAT Club Bot
Re: If n, w, x, y and z are different integers such that (n– w)(n – x)(n –   [#permalink] 20 Jul 2019, 23:04
Display posts from previous: Sort by

If n, w, x, y and z are different integers such that (n– w)(n – x)(n –

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne