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)

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)

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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