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

Quantitative Aptitude – Number Systems

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

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.
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