Average is a foundational and frequently tested topic in Arithmetic for CAT 2026, forming the base for several higher-order Quant problems. Practice curated CAT arithmetic important questions built around repeated average concepts, weighted averages, and data-based applications seen in recent CAT exams. These questions are designed to sharpen your calculation speed and conceptual accuracy for CAT 2026.
Q51. Anna, Ben and Clark have an average amount of Rs. 93. If Anna gives Rs. 12 to Ben, then average amount with Ben and Clark would be Rs. 108 whereas if Clark gives Rs. 25 to Anna, then average amount with Anna and Ben would be Rs. 98. What is the amount (in Rs.) with Ben?
Q52. The average of five natural numbers is 100. The largest number among these exceeds the smallest number by 60. The rest of the three numbers lie between these two numbers and are all equal. How many sets of the five numbers is possible?
Q53. From the first ‘n’ consecutive even natural numbers written on a blackboard, one of the numbers is removed. If the average of the remaining numbers remains is 32, then which of the following cannot be the value of ‘n’?
Q54. Seven students appeared for an exam in which the maximum marks were 100. The marks scored by the students in the exam were found to be seven distinct integer values. The arithmetic mean of their marks was 85 whereas the median of their marks was 90. What could be the maximum difference between the marks of any two students?
Q55. The mean and median of Ashok’s 7 scores is 74. If his lowest 2 scores are not considered, the mean increased by 1 whereas the median remained the same. What is the highest score he could have got, if all his scores were whole numbers and no number except 74 appears more than once?
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