Problems on Averages

IMPORTANT

Problems on Averages: Overview

This topic covers concepts, such as, Average as Arithmetic Mean, Properties of Averages, Mean or Average of Raw Data & Weighted Average etc.

Important Questions on Problems on Averages

EASY
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The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

EASY
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The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?

EASY
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The average score of Sehwag in 10 innings was 77 runs. In the 11th innings he had scored zero runs. The overall average score of Sehwag in all the 11 innings was:

EASY
IMPORTANT

If a train maintains an average speed of 40 km/hr an hour it arrives at its destination punctually. If however, the average speed is 35 km/hr an hour it arrives15 minutes  late. Find the length of the journey in km.

EASY
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A student finds the average of 10, 2 numbers. If the digits of one of the numbers is interchanged, the average increases by 3.6. The difference between the digits of the 2-digit number is-

EASY
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A man had 7 children. When their average age was 12 years, a child ages 6 years died. The average age of remaining six children is-

EASY
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The average age of a jury of 5 is 40. If a member aged 35 resigns and a man aged 25 becomes a member, then the average age of the new jury is

EASY
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A man travels a distance of 24 km at 6 kmhr another distance of 24 km at 8 kmhr and a third distance of 24 km at 12 kmhr. His average speed for the whole journey (in kmhr) is _____.

MEDIUM
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What will be the average speed of a car with speed 80 km/h is also included?

HARD
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A set of five two-digit integers numbers is given. Average of first and third number is the second number. The fourth number is half of the first number. Sum of first, second and fourth numbers is 134. The second number is (A) and the average of five numbers is (B). The fifth number is 55. What can be the values of (A) and (B) respectively?

EASY
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The average age of 11 students and their teacher is 16 years. The average age of the first seven students is 14 years and that of the last fours 10 years. What is the teacher's age?

EASY
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The average of 7 consecutive numbers is 18. The third smallest of these number is:

EASY
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Ages of two persons differ by 8 years. If 6 year ago, the elder one be 5 times as old the younger one, find their present age ?

EASY
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The average age of 8 men, 7 women and 1 boy is 45 years and that of 8 men being 48 years and 7 woman being 46 years. Determine the age of boy.

EASY
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The average age of seven boys sitting in a row facing north is 26 years. If the average age of the first three boys is 19 years and that of the last three boys is 32 years, then what is the age of the boy sitting in the middle of the row?

MEDIUM
IMPORTANT

A man goes from Mysore to Banglore at a uniform speed of 40 km/hr  and comes back to Mysore at a uniform speed of 60 km/hr. His average speed for the whole journey is

EASY
IMPORTANT

A car completes 750 km in 12 hr and next 250 km in 8 hr. Find the average speed of car.

HARD
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Jignesh had to cover a certain distance in certain duration of time. He travelled at 80% of the average speed required for 60% of the time. For the remaining 40% of the time he needed to travel at ______% of the average speed required.

MEDIUM
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A cyclist rides 24 km at 16 km per hour and a further 36 km at 15 km per hour. Find his average speed for the journey.

MEDIUM
IMPORTANT

The average of the first three numbers is double of the fourth number. If the average of all the four numbers is 12, find the 4th number.