CAT Averages questions with solutions
Mean, weighted average and related problems. 19 questions from our 2016–2025 CAT pattern papers. Each has the answer and a full solution.
CAT 2025
CAT 2024
CAT 2023
CAT 2022
CAT 2021
- The average marks scored by 25 students in a class is 70. If the average marks of the top 10 scorers is 82, what is the average marks of the…
- The average of 11 numbers is 60. The average of the first six numbers is 58 and the average of the last six numbers is 65. What is the sixth number?
- The average marks of 25 students in a class is 62. Two students who scored 45 and 51 leave the class and three new students join. The average of the…
CAT 2020
- When two of the numbers are removed, the average of the remaining numbers becomes 38. If one of the removed numbers exceeds the other by 10, the…
- The average age of 30 students in a class is 15 years. When the teacher's age is included, the average rises by 6 months. If the teacher is then…
- The average of the first eight numbers is 55 and the average of the last eight numbers is 65. What is the eighth number?
CAT 2019
CAT 2018
CAT 2017
CAT 2016
Other Quant topics
Time, Speed and Distance 38Time and Work 23Pipes and Cisterns 11Simple and Compound Interest 33Profit, Loss and Discount 42Mixtures and Alligation 35Ratio and Partnership 17Percentages 30Permutations, Combinations and Sets 28Probability 20Logarithms and Indices 16Quadratic Equations and Polynomials 18Linear Equations 9Inequalities and Modulus 19Functions 22Maxima and Minima 11Progressions 29Remainders and Divisibility 15Number System 19Coordinate Geometry 29Triangles 24Circles 18Polygons and Quadrilaterals 12Mensuration 13