Averages

IMPORTANT

Averages: Overview

This topic covers concepts, such as Average as Arithmetic Mean, Properties of Averages, Formulae for Averages, Ages and Averages, Shortcut to Find Average of Numerals etc.

Important Questions on Averages

EASY
IMPORTANT

Find the least number of electronic graduates passing out from this institute. In an engineering college, the average salary of all engineering graduates from mechanical trade is 2.45 Lacs per annum and that of the engineering graduates from electronic trade is 3.56 Lacs per annum. The average salary of all mechanical and electronics graduates is 3.12 Lacs per annum.

HARD
IMPORTANT

The average price of 3 diamonds of same weights is 5 crore, where the average price of the two costliest diamonds is double the price of the cheapest diamond. The price of the cheapest diamond is ?

MEDIUM
IMPORTANT

The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?

HARD
IMPORTANT

The average age of 27 girls and the teacher is 14 years. When the teacher's age is excluded, the average age decreases by 1. What is the age (in year) of teachers?

MEDIUM
IMPORTANT

A travel agency has three types of vehicles viz. four seater, auto rickshaw, 10 seater maxi cab and 20 seater minibus. The rate of each passenger (irrespective of its age or weight or seniority) for the auto rickshaw is Rs. 12 and for the maxi cab is Rs. 15 and for the minibus is Rs. 8 for the one round. The average occupancy of the seats is 100%, 80% and 75% respectively. If he has one vehicle of each kind, then the average earning for one round of each vehicle is :

EASY
IMPORTANT

The average of 8 numbers is132. If one number is excluded, the average of the remaining 7numbers is 130. The excluded number is-

MEDIUM
IMPORTANT

A company instead of raising the mark price by 20%, discounted the cost price by 20% while stitching the price tag on its product. Further the company offer a discount of 6.25% to its customer. In this process company incurs a loss of 37.5 on a single article. What is the selling price of that article?

MEDIUM
IMPORTANT

The average of 1000.0001, 100.001, 10.01, 1.1 is :

MEDIUM
IMPORTANT

Last year in CAT, each section of the question paper had different weightage. The weightage of QA, DI and VA/RC sections was 8, 9 and 10 respectively. The maximum marks in all the three sections together were 810. Wrong answer did not carry negative marks as a penalty. If Padma had gotten 20% more marks in QA and 8% more marks in DI and 7.14...% more marks in VA/RC, then she must had gotten 100% marks in all the three sections. The total marks that Padama had scored is

HARD
IMPORTANT

The average salary of the entire staff in an office is 200 per day. The average salary of officers is 550 and that of non officers is 120. If the number of officers is 16, then find the numbers of non-officer in the office.

HARD
IMPORTANT

In a class of 30 students, the average weight of boys is 20 kg and the average weight of the girls is 25 kg. The fraction of boys out of the total students of the class is :

HARD
IMPORTANT

The average marks of 28 students in mathematics was 50. 8 students left the school and then this average increased by 5. What is the average marks obtained by the students who left the school?

HARD
IMPORTANT

5 members of a team are weighed consecutively and their average weight calculated after each member is weighted. If the average weight increases by one kg each time, how much heavier is the last player than the first one?

HARD
IMPORTANT

The average of 5 quantities is 6. The average of 3 of them is 8. What is the average of the remaining two numbers?

EASY
IMPORTANT

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

EASY
IMPORTANT

A sum of 7700, is to be divided among three brothers Sunil, Sumant and Surat in such a way that simple interest on each part at 5%, per annum after 1, 2 and 3 years, respectively remains equal. The share of Sunil is more than that of Surat by

MEDIUM
IMPORTANT

A train covers a distance of 3584 km in 2 days 8 hours. If it covers 1440 km on the first day and 1608 km on the second day, by how much does the average speed of the train for the remaining part of the journey differ from that for the entire journey?

HARD
IMPORTANT

There are 20 students with an average height of 150 cm. in a class. Then 10 students with an average of 120 cm. join. What will be average height of the class now?

EASY
IMPORTANT

In a class of 25 students, 10 students had an average score of 80 and remaining had an average score of 60. What is the average score of the class?

MEDIUM
IMPORTANT

Find the average of the following set of scores:

214, 351, 109, 333, 752, 614, 456, 547