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.
10600 is divided into positive quantities A, B, C and D. Use the following information to find the value of D: If you remove A, the average of the other 3 numbers is 1000. If you remove B, the average of the other 3 numbers is 3220. If you remove C, the average of the other 3 numbers is 3180.
A. 1120B. 880C. 7600D. 1000
easyAsked 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
easyAsked in MAH MCA CET 2025View solution ›
Q3.
The average age of a husband and wife was 22 years when they were married five years ago. What is the present average age of the family if they have a three-year-old child?
A. 19 yearsB. 25 yearsC. 27 yearsD. 28.5 years
easyAsked in NIMCET 2011View solution ›
Q4.
The average of 5 numbers is 24. If one number is excluded, the average of the remaining numbers becomes 22. Find the excluded number.
A. 32B. 30C. 28D. 34
easyView solution ›
Q5.
The average age of 30 students in a class is 14 years. When the teacher's age is also included, the average increases by 1 year. What is the age of the teacher?
A. 40 yearsB. 44 yearsC. 46 yearsD. 45 years
easyView solution ›
Q6.
What is the average of the first 20 even natural numbers?
A. 20B. 22C. 21D. 42
easyView solution ›
Q7.
Three cities A, B, C are equidistant from each other. A motorist travels from A to B at 30 km/hour, from B to C at 40 km/hour, and from C to A at 50 km/hour. Then the average speed is
A. 39 km/hourB. 40 km/hourC. 38.3 km/hourD. 37.6 km/hour
easyAsked in NIMCET 2020View solution ›
Q8.
Sum of ages of Anu and Bhanu is 10 years more than the sum of ages of Bhanu, Chanu, and Dhanu. The average age of Chanu and Dhanu is 19 years. Find the average age of Anu and Dhanu if Dhanu is 10 years elder than Chanu.
A. 36 yearsB. 30 yearsC. 25 yearsD. 31 years
easyAsked in NIMCET 2020View solution ›
Q9.
The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is
A. 80%B. 60%C. 40%D. 20%
easyAsked in NIMCET 2014View solution ›
Q10.
The mean of consecutive positive integers from 2 to $n$ is
A. $\frac{n + 2}{2}$ B. $\frac{n ( n + 1 )}{2}$ C. $\frac{n + 1}{2}$ D. $\frac{n - 1}{2}$
easyAsked in NIMCET 2024View solution ›
Q11.
There are 40 female and 20 male students in a class. If the average heights of female and male students are 5.15 feet and 5.66 feet, respectively, then the average height (in feet) of all the students in the class equals
A. 5.405B. 5.490C. 5.175D. 5.320
easyAsked in NIMCET 2025View solution ›