Averages Questions with Solutions

15 questions11 easy3 medium1 hard

An average is the sum of a set of values divided by the number of values. Average questions in entrance exams go well beyond this basic formula: they test what happens when a person joins or leaves a group, when a wrong value is corrected, the average age of a family over time, weighted averages of two groups, and averages of consecutive numbers. The fastest approach is the deviation method. Instead of adding every value, assume an average, note how far each value is above or below it, and adjust. For example, if a new member raises a group's average by 2, the new member is 2 times the new group size above the old average. Questions on cricket scores and batting averages are a common variation. Practise the average questions below, each with a full solution and a shortcut using the deviation method where it applies.

All Questions Easy Medium Hard

Q1.
10 people went to a restaurant to have a meal as a group. Of these, 9 had already contributed Rs 400 each, while the 10th person had to give the entire additional amount required to pay the restaurant's bill. How much did this person pay if he had to pay Rs 900 more than the group's average?
A. Rs 1360B. Rs 1350C. Rs 1400D. Rs 1300
mediumAsked in NIMCET 2026View solution ›
Q2.
Ten years ago, the average age of $A$ and $B$ was $20$ years. The average age of $A, B, C$ is $30$ years today. How old will $C$ be after $5$ years?
A. 20B. 30C. 35D. 55
mediumAsked in MAH MCA CET 2025View solution ›
Q3.
After 16 innings, a batsman has a certain average. In his 17th innings he scores 87 runs, which raises his average by 3. What is his average after 17 innings?
A. 36B. 39C. 42D. 38
mediumView solution ›