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Mixtures and Averages CAT Previous Year Questions with Answer PDF

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Averages
Try yourself:Suppose hospital A admitted 21 less Covid infected patients than hospital B, and all eventually recovered. The sum of recovery days for patients in hospitals A and B were 200 and 152, respectively. If the average recovery days for patients admitted in hospital A was 3 more than the average in hospital B then the number admitted in hospital A was

[2021]

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Question for CAT Previous Year Questions: Averages
Try yourself:In a group of 10 students, the mean of the lowest 9 scores is 42 while the mean of the highest 9 scores is 47. For the entire group of 10 students, the maximum possible mean exceeds the minimum possible mean by 

[2020]

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Question for CAT Previous Year Questions: Averages
Try yourself:Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is

[2019]

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Question for CAT Previous Year Questions: Averages
Try yourself:The average of 30 integers is 5. Among these 30 integers, there are exactly 20 which do not exceed 5. What is the highest possible value of the average of these 20 integers?

[2019]

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Question for CAT Previous Year Questions: Averages
Try yourself:In an apartment complex, the number of people aged 51 years and above is 30 and there are at most 39 people whose ages are below 51 years. The average age of all the people in the apartment complex is 38 years. What is the largest possible average age, in years, of the people whose ages are below 51 years?

[2019]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Averages
Try yourself:A CAT aspirant appears for a certain number of tests. His average score increases by 1 if the first 10 tests are not considered, and decreases by 1 if the last 10 tests are not considered. If his average scores for the first 10 and the last 10 tests are 20 and 30, respectively, then the total number of tests taken by him is

[2018 TITA]

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*Answer can only contain numeric values
Question for CAT Previous Year Questions: Averages
Try yourself:An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?

[2017 TITA]

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Question for CAT Previous Year Questions: Averages
Try yourself:The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is

[2017]

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The document Mixtures and Averages CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
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FAQs on Mixtures and Averages CAT Previous Year Questions with Answer PDF

1. What is the formula to calculate the average of a set of numbers?
Ans. The formula to calculate the average of a set of numbers is to add up all the numbers and then divide by the total count of numbers in the set.
2. How can averages be used to compare different data sets?
Ans. Averages can be used to compare different data sets by calculating the mean of each set and then comparing the averages to see which set has a higher or lower average value.
3. Can the average of a set of numbers change if a new number is added to the set?
Ans. Yes, the average of a set of numbers can change if a new number is added to the set. The average will be recalculated by adding the new number to the sum and dividing by the new count of numbers in the set.
4. How are weighted averages calculated and when are they used?
Ans. Weighted averages are calculated by multiplying each number by its respective weight, adding up the products, and then dividing by the total sum of the weights. They are used when certain numbers in the set have more significance or importance than others.
5. In what scenarios would the median be a more appropriate measure of central tendency than the average?
Ans. The median would be a more appropriate measure of central tendency than the average in scenarios where there are extreme outliers or skewed data that could significantly impact the average, providing a more representative value for the central tendency.
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