# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Ratios Questions | Question 11

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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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##### 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

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