|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
06 Dec 2019, 06:05
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
62% (02:07) correct
38%
(02:30)
wrong
based on 315
sessions
History
Date
Time
Result
Not Attempted Yet
If \(w < x < y < z\), is the average (arithmetic mean) of w, x, y, and z greater than y ?
(1) \(w + z = x + y\)
(2) \(w = 2\) and \(z = 18\)
Are You Up For the Challenge: 700 Level Questions
(1) \(w + z = x + y\)
(2) \(w = 2\) and \(z = 18\)
Are You Up For the Challenge: 700 Level Questions
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
06 Dec 2019, 10:43
Kudos
Bookmarks
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.
\(\frac{w + x+ y + z}{4} > y\)?
(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.
23 Jan 2021, 01:31
Kudos
Bookmarks
Is: (W + X + Y + Z) / 4 > Y?
Is: W + X + Y + Z > 4Y?
Is: W + X + Z > 3Y?
Given: W < X < Y < Z
S1: W + Z = X + Y
W = X + Y - Z
Inserting S1 into the question stem
Is: (X + Y - Z) + X + Z > 3Y?
Is: 2X + Y > 3Y?
Is: X > Y?
We are given that X < Y
Definite answer: s1 sufficient alone.
S2: again plug in the given values into the question stem.
Question becomes:
Is: 20 + X > 3Y?
Even given the constraint that X < Y, you can easily find two cases that give you a Yes and No.
If X = -2 and Y = 1 ——-Yes
If X = 2 and Y = 20 ——- NO
A
S1 alone is sufficient
Posted from my mobile device
Is: W + X + Y + Z > 4Y?
Is: W + X + Z > 3Y?
Given: W < X < Y < Z
S1: W + Z = X + Y
W = X + Y - Z
Inserting S1 into the question stem
Is: (X + Y - Z) + X + Z > 3Y?
Is: 2X + Y > 3Y?
Is: X > Y?
We are given that X < Y
Definite answer: s1 sufficient alone.
S2: again plug in the given values into the question stem.
Question becomes:
Is: 20 + X > 3Y?
Even given the constraint that X < Y, you can easily find two cases that give you a Yes and No.
If X = -2 and Y = 1 ——-Yes
If X = 2 and Y = 20 ——- NO
A
S1 alone is sufficient
Posted from my mobile device
