Quantitative Aptitude – Number Systems – If a, b, c are three positive integers


Quantitative Aptitude – Number Systems


Question


CAT 2017 - Afternoon slot - Quantitative Aptitude - Number Systems - If a, b, c are three positive integers
If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2:1, then which one of the following is a possible value of (a + b + c)?

A) 201
B) 205
C) 207
D) 210

Answer


Option (C)

Solution


From CAT 2017 – Quantitative Aptitude – Number Systems, we can see that,
Let us take a = 3x and b = 4x
Also, b = 2y and c = y
4x = 2y => y = 2x
Now, c = 2x
a + b + c = 9x
Since it is a multiple of 9. From the given options we have to find the one that is divisible by 9. 207 satisfies this condition.
Option (C)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF



CAT 2017 Questions from Quantitative Aptitude – Number Systems


Quantitative Aptitude – Number Systems – Q1: If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
Quantitative Aptitude – Number Systems – Q2: The numbers 1, 2,…,9 are arranged in a 3 X 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.
Quantitative Aptitude – Algebra
Quantitative Aptitude – Arithmetic
Quantitative Aptitude – Modern Maths
Quantitative Aptitude – Geometry

Other posts related to Quantitative Aptitude – Number Systems


Divisibility Rules for CAT Quantitative Aptitude Preparation
Factor Theory
Dealing With Factorials
Baisc Idea of Remainders
Cyclicity Of Remainders
Basic Application of Remainder Theorem
Remainders Advanced
Determining the second last digit and the last two digits
Application of LCM (Lowest Common Multiple) in solving Quantitative Aptitude Problems
How to Find Number of Trailing Zeros in a Factorial or Product



Online Coaching Course for CAT 2021 + Test Series

a) 1000+ 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