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

## Question

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

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)

## 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