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The question is from CAT Ratio, Mixtures and Averages. What would happen to the average when we add three consecutive number to a series? 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 2019.

Question 46: If the average of 9 consecutive number is T. How much will the average increase by if the next 3 consecutive numbers are also added?

  1. 3
  2. 1.5
  3. T
  4. Can’t be determined

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Explanatory Answer

Method of solving this CAT Question from Ratio, Mixtures and Averages: How the individual data points affect the average?

Let the numbers be n, n+1, n+2………………n+8
Average of these numbers = n + 4
When n +9, n+10, n+11 are added, the difference of these numbers from the earlier average = 5, 6, 7 respectively = 18
This 18 will increase the average by \\frac{18}{15}\\) = 1.5

The question is "If the average of 9 consecutive number is T. How much will the average increase by if the next 3 consecutive numbers are also added?"

Hence, the answer is "1.5".

Choice B is the correct answer.

 

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