GRE Prep 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.
a , b , c and d are different positive numbers. The average (arithmeti
[#permalink]
21 Sep 2023, 23:36
21 Sep 2023, 23:36
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
31% (00:53) correct
68% (01:06) wrong based on 35 sessions
Hide Show timer Statistics
a , b , c and d are different positive numbers.
The average (arithmetic mean) of a and b is 30.
The average of a , b , c and d is 40.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
The average (arithmetic mean) of a and b is 30.
The average of a , b , c and d is 40.
Quantity A |
Quantity B |
The greatest possible value of d |
99 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Retired Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: a , b , c and d are different positive numbers. The average (arithmeti
[#permalink]
23 Sep 2023, 10:46
23 Sep 2023, 10:46
2
Given that a , b , c and d are different positive numbers.
The average (arithmetic mean) of a and b is 30.
=> \(\frac{a + b}{2}\) = 30
=> a + b = 60
The average of a , b , c and d is 40.
=> \(\frac{a + b + c + d}{4}\) = 40
=> a + b + c + d = 160
=> 60 + c + d = 160
=> c + d = 100
Now, c and d are distinct positive numbers (NOTE numbers is mentioned and not INTEGERS, numbers can be decimal also)
=> c can be 0.1 or smaller also also
Making d = 100 = 0.1 = 99.9
=> Quantity A(Maximum Value of d) > Quantity B(99)
So, Answer will be A
Hope it helps!
Watch the following video to Learn the Basics of Statistics
The average (arithmetic mean) of a and b is 30.
=> \(\frac{a + b}{2}\) = 30
=> a + b = 60
The average of a , b , c and d is 40.
=> \(\frac{a + b + c + d}{4}\) = 40
=> a + b + c + d = 160
=> 60 + c + d = 160
=> c + d = 100
Now, c and d are distinct positive numbers (NOTE numbers is mentioned and not INTEGERS, numbers can be decimal also)
=> c can be 0.1 or smaller also also
Making d = 100 = 0.1 = 99.9
=> Quantity A(Maximum Value of d) > Quantity B(99)
So, Answer will be A
Hope it helps!
Watch the following video to Learn the Basics of Statistics
a , b , c and d are different positive numbers. The average (arithmeti
[#permalink]
22 Jan 2024, 06:12
22 Jan 2024, 06:12
Carcass sir, i have very silly doubt , in case of mean or avg there is no need to arrange series in ascending or descending order ?
as if we see here a+b=60 thus c+d=100 and we take the series, same as question then it will be a , b , c, d = 30 , 30 , 30, 70 (here i took a, b , c as 30 in order to make d greatest) >> here d is less than 99
and if the series is like this c , a , b , d = 1 , 30, 30 , 99 >> here d is equal to 99
but if we directly take without arranging them in an order than we can solve it in the same way as BrushMyQuant did , so in case of mean or avg there is no need to arrange series in ascending or descending order ?
as if we see here a+b=60 thus c+d=100 and we take the series, same as question then it will be a , b , c, d = 30 , 30 , 30, 70 (here i took a, b , c as 30 in order to make d greatest) >> here d is less than 99
and if the series is like this c , a , b , d = 1 , 30, 30 , 99 >> here d is equal to 99
but if we directly take without arranging them in an order than we can solve it in the same way as BrushMyQuant did , so in case of mean or avg there is no need to arrange series in ascending or descending order ?
