# CAT Quantitative Aptitude Questions | CAT Ratios, Mixtures, Alligations and Averages Questions

###### CAT Questions | Averages and Mixtures | Averages - Maximum

The question is from CAT Ratio, Mixtures and Averages. CAT exam is known to test on basics rather than high funda ideas. A range of CAT questions can be asked from Ratios and Proportions, Mixtures, Alligations and Averages. Make sure you master the topics. 2IIMs CAT questions bank provides you with CAT questions that can help you gear for CAT Exam CAT 2020.

Question 13: School X has 3 classes, A, B and C. The average score of Class B is 16 more than the average score of class C. The strengths of Classes A, B and C are in the ratio 2:3:5, respectively. If the average score of the school 2 less than the average score of Class A, Find the difference between average of class A and class C.

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### Explanatory Answer

##### Method of solving this CAT Question from Ratio, Mixtures and Averages: One needs to recognize that averages and mixtures are effectively two sides of the same coin. This question is designed to drive home that point.

Let average in class C = x. Average of class B = x +16. Average of class A = y
y = 2 + $$frac{20y + 30$x + 16$ + 50x}{100}$$y - 2) * 10 = 2y + 3x + 48 + 5x
10y - 20 = 2y + 8x + 48
8y - 8x = 68
y - x = 8.5. This is the difference between average of class A and class C.

The question is "Find the difference between average of class A and class C."

##### Hence, the answer is "This is the difference between average of class A and class C.".

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