# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Mixtures Questions | Question 14

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Question 14 : Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4 : 3 : 2. Then the resulting mixture has

1. The same amount of water and liquid B
2. The same amount of liquids B and C
3. More water than liquid B
4. More water than liquid A

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### Explanatory Answer

##### Method of solving this CAT Question from Mixtures

There are three mixtures ,the first having water and liquid A in the ratio 1 : 2,
so we can consider only the liquid part which is $$frac{2}{3}$. The second having the water and liquid in the ratio 1 : 3 = $\frac{3}{4}$. The third having the liquid and water in the ratio 1 : 4 = $\frac{4}{5}$ ⟹ $\frac{160x}{60}$ + $\frac{135x}{60}$ + $\frac{96x}{60}$ = $\frac{391x}{60}$ ⟹ $\frac{540x}{60}$ - $\frac{391x}{60}$ = $\frac{149x}{60}$ = 2$\frac{29}{60}$x Where A = 2$\frac{2}{3}$x and B = 2$\frac{1}{4}$x Hence by this we can infer that more water than liquid B is true The question is "Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4 : 3 : 2. Then the resulting mixture has" ##### Hence, the answer is More water than liquid B Choice C is the correct answer ###### 🎉 New Year offer! Fabulous 4,000 off on CAT Online Courses. Valid until 15th April ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2021Enroll at 49,000/- 44,000/- Online Classroom Batches Starting Now! ###### Best CAT Coaching in Chennai Introductory offer of 5000/- Attend a Demo Class ###### Best Indore IPM & Rohtak IPM CoachingSignup and sample 9 full classes for free. Register now! ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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