Quantitative Aptitude – Modern Maths – Progressions – The arithmetic mean of x, y


Quantitative Aptitude – Modern Maths - Progressions – The arithmetic mean of x, y

Slot -2 – Quantitative Aptitude – Modern Maths – Progressions – The arithmetic mean of x, y

The arithmetic mean of x, y and z is 80, and that of x, y, z, u and v is 75, where u=(x+y)/2 and v=(y+z)/2. If x ≥ z, then the minimum possible value of x is?

Answer: 105

Solution:
Given, (x+y+z)/3=80
x+y+z=240——1)
And (x+y+z+u+v)/4=75
x+y+z+u+v =375——2)
From eq 1) & eq 2) u+v =135
And from question , u+v =(x+2y+z)/2
Or 270=x+2y+z
y = 30 and x+z = 210
as x ≥ z
so x will be minimum if x =z
minimum value of x =210/2 = 105

Other posts related to Quantitative Aptitude – Modern Maths

Permutation and Combination – Fundamental Principle of Counting
Permutation and Combination – Distribution of Objects
How to find Rank of a Word in Dictionary (With or Without Repetition)
Set Theory- Maximum and Minimum Values
How to solve questions based on At least n in Set Theory for CAT Exam?
Sequence and Series Problems and Concepts for CAT 2017 Exam Preparation
Basic Probability Concepts for CAT Preparation

Online Coaching Course for CAT 2020

a) 900+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video