CAT 2017 Question Paper | Quants Slot 2

CAT Questions

Ratio and Proportion makes up for an important topic in the Arithmetic part of the Quantitative Aptitude section of the CAT Question Paper. To ace the CAT Examand direct your CAT Online Preparation in the right direction, dive into the CAT previous year paper and start solving. Here is a question from Slot 2 of CAT 2017 Question paper. Try your hands at the question and kickstart your preparation.
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Question 11 : 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) ?

1. 201
2. 205
3. 207
4. 210

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question from Ratios

Given that a, b, c are three positive integers.
a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1.
Therefore, 3n + 4n + 2n = 9n.
We have to find the possible value of (a + b + c) and it should be a multiple of 9.
Hence we can check out with the given options as it should be a multiple of 9.
9n = 207 is the only possible value of (a + b + c).

The question is "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) ?"

Hence, the answer is 207

Choice C is the correct answer