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.
The mean of five distinct positive integers is 10.
[#permalink]
09 Sep 2022, 06:10
09 Sep 2022, 06:10
Expert Reply
2
Bookmarks
00:00
Question Stats:
58% (00:55) correct
41% (00:35) wrong based on 17 sessions
Hide Show timer Statistics
The mean of five distinct positive integers is 10.
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
Quantity A |
Quantity B |
the largest possible value of one of the integers |
46 |
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: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: The mean of five distinct positive integers is 10.
[#permalink]
09 Sep 2022, 07:05
09 Sep 2022, 07:05
1
The mean of five distinct positive integers is 10.
so lets use four smallest distinct positive integers which will give us the maximum possible value for the 5th integer which we can let be as X for now
four smallest distinct positive integers=1,2,3,4
we know (1+2+3+4+X)/5=10
10+X=50
X=40
so Quantity B is greater
so lets use four smallest distinct positive integers which will give us the maximum possible value for the 5th integer which we can let be as X for now
four smallest distinct positive integers=1,2,3,4
we know (1+2+3+4+X)/5=10
10+X=50
X=40
so Quantity B is greater
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)
The mean of five distinct positive integers is 10.
[#permalink]
16 Sep 2022, 22:00
16 Sep 2022, 22:00
1
Given that The mean of five distinct positive integers is 10 and we need to find the largest possible value of one of the integers
===============================================================
Theory
[list]‣‣‣ Sum = Mean * Total Number of Numbers
===============================================================
Sum = Mean * Total Number of Numbers = 10 * 5 = 50
Now we have distinct positive numbers in the set So to have the highest number as the largest we can take 4 other numbers as distinct positive numbers
=> Smallest 4 numbers will be 1, 2, 3, 4. Making the Largest number as 50 - 1 - 2 - 3 - 4 = 50 - 10 = 40
Clearly, Quantity B(46) > Quantity A(40)
So, Answer will be B.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
===============================================================
Theory
[list]‣‣‣ Sum = Mean * Total Number of Numbers
===============================================================
Sum = Mean * Total Number of Numbers = 10 * 5 = 50
Now we have distinct positive numbers in the set So to have the highest number as the largest we can take 4 other numbers as distinct positive numbers
=> Smallest 4 numbers will be 1, 2, 3, 4. Making the Largest number as 50 - 1 - 2 - 3 - 4 = 50 - 10 = 40
Clearly, Quantity B(46) > Quantity A(40)
So, Answer will be B.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
