GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 21 Jan 2020, 19:23

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 w < x < y < z, is the average (arithmetic mean) of w, x, y, and z

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60555
If w < x < y < z, is the average (arithmetic mean) of w, x, y, and z  [#permalink]

Show Tags

New post 06 Dec 2019, 06:05
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (01:42) correct 39% (02:14) wrong based on 42 sessions

HideShow timer Statistics

Director
Director
User avatar
P
Joined: 07 Mar 2019
Posts: 582
Location: India
GMAT 1: 580 Q43 V27
WE: Sales (Energy and Utilities)
CAT Tests
If w < x < y < z, is the average (arithmetic mean) of w, x, y, and z  [#permalink]

Show Tags

New post 06 Dec 2019, 10:43
1
If w<x<y<z, is the average (arithmetic mean) of w, x, y, and z greater than y ?
\(\frac{w + x+ y + z}{4} > y\)?

(1) w+z=x+y
Now adding x + y on both sides
w + x + y + z = x + y + x + y
\(\frac{w + x + y + z}{4} = \frac{x + y}{2} \)

As \(\frac{x + y}{2}\) < y always
\(\frac{w + x + y + z}{4}\) < y

SUFFICIENT.

(2) w=2 and z=18
Clearly, INSUFFICIENT.
As x = 3 y = 4 then \(\frac{w + x+ y + z}{4} = \frac{27}{4}\) > y
OR
x = 3 y = 15 \(\frac{w + x+ y + z}{4} = \frac{38}{4}\) < y

Answer A.
_________________
Ephemeral Epiphany..!

GMATPREP1 590(Q48,V23) March 6, 2019
GMATPREP2 610(Q44,V29) June 10, 2019
GMATPREPSoft1 680(Q48,V35) June 26, 2019
GMAT Club Bot
If w < x < y < z, is the average (arithmetic mean) of w, x, y, and z   [#permalink] 06 Dec 2019, 10:43
Display posts from previous: Sort by

If w < x < y < z, is the average (arithmetic mean) of w, x, y, and z

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





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