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 average (arithmetic mean) age. in years, of 4 people is greater th
[#permalink]
Updated on: 02 May 2023, 00:11
Updated on: 02 May 2023, 00:11
00:00
Question Stats:
50% (02:33) correct
50% (02:28) wrong based on 2 sessions
Hide Show timer Statistics
The average (arithmetic mean) age. in years, of 4 people is greater than 30 and less than 35. Of the 4 people, 1 person is older than 10 but younger than 15 years. 1 person is older than 20 but younger than 25 years, and 2 people are older than 25 years.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The age of the oldest of the 4 people |
50 years |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The average (arithmetic mean) age. in years, of 4 people is greater th
[#permalink]
01 May 2023, 23:58
01 May 2023, 23:58
up
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1131
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: The average (arithmetic mean) age. in years, of 4 people is greater th
[#permalink]
02 May 2023, 09:23
02 May 2023, 09:23
2
Given that the average (arithmetic mean) age. in years, of 4 people is greater than 30 and less than 35. Of the 4 people, 1 person is older than 10 but younger than 15 years. 1 person is older than 20 but younger than 25 years, and 2 people are older than 25 years.
Quantity A: The age of the oldest of the 4 people
Minimum value of the age of the oldest person will be when age of other people is maximum
=> Max age of 1st person = 14 (older than 10 but younger than 15)
=> Max age of 2nd person = 24 (older than 20 but younger than 25)
=> Max age of 3rd person and 4th person should be equal in order to make the age of oldest person minimum. Let the age be x.
=> 14 + 24 + 2x = 4 * 31 (minimum of greater than 30 and less than 35)
=> x = 43
Maximum value of the age of the oldest person will be when age of other people is minimum
=> Min age of 1st person = 11 (older than 10 but younger than 15)
=> Min age of 2nd person = 21 (older than 20 but younger than 25)
=> Min age of 3rd person = 26 (older than 25)
=> Max age + 11 + 21 + 26 = 4 * 34 (minimum of greater than 30 and less than 35)
=> Max age = 78
Clearly, Quantity A can be greater than equal to or even less than Quantity B(50)
So, Answer will be D
Hope it helps!
Watch the following video to Learn the Basics of Statistics
Quantity A: The age of the oldest of the 4 people
Minimum value of the age of the oldest person will be when age of other people is maximum
=> Max age of 1st person = 14 (older than 10 but younger than 15)
=> Max age of 2nd person = 24 (older than 20 but younger than 25)
=> Max age of 3rd person and 4th person should be equal in order to make the age of oldest person minimum. Let the age be x.
=> 14 + 24 + 2x = 4 * 31 (minimum of greater than 30 and less than 35)
=> x = 43
Maximum value of the age of the oldest person will be when age of other people is minimum
=> Min age of 1st person = 11 (older than 10 but younger than 15)
=> Min age of 2nd person = 21 (older than 20 but younger than 25)
=> Min age of 3rd person = 26 (older than 25)
=> Max age + 11 + 21 + 26 = 4 * 34 (minimum of greater than 30 and less than 35)
=> Max age = 78
Clearly, Quantity A can be greater than equal to or even less than Quantity B(50)
So, Answer will be D
Hope it helps!
Watch the following video to Learn the Basics of Statistics
