# Recent questions tagged average

1

The average of the three numbers $x, y$ and $z$ is $48. x$ is greater than the average of $y$ and $z$ by $9.$ The average of $y$ and $z$ is greater than $y$ by $2.$ Then ...

2

The average score of boys in an examination of a school is $71$ and that of girls is $73.$ The average score of the school in that examination is $71.8$. Find the ratio o...

3

The average age of a teacher and $25$ students is $17$ years. If the teacher’s age is excluded, the average reduces by $2$ years. The age of the teacher is :$63$ years$...

4

The batting average $\text{(BA)}$ of a test batsman is computed from runs scored and innings played-completed innings and incomplete innings (not out) in the following ma...

5

In a football tournament, a player has played a certain number of matches and $10$ more matches are to be played. If he scores a total of one goal over the next $10$ matc...

6

Suppose hospital $\text{A}$ admitted $21$ less Covid infected patients than hospital $\text{B},$ and all eventually recovered. The sum of recovery days for patients in ho...

7

Onion is sold for $5$ consecutive months at the rate of $\text{Rs}\; 10, 20, 25, 25,$ and $50 \; \text{per kg},$ respectively. A family spends a fixed amount of money on ...

8

A batsman played $n + 2$ innings and got out on all occasions. His average score in these $n + 2$ innings was $29$ runs and he scored $38$ and $15$ runs in the last two i...

9

In a group of $10$ students, the mean of the lowest $9$ scores is $42$ while the mean of the highest $9$ scores is $47.$ For the entire group of $10$ students, the maximu...

10

The mean of all $4-$digit even natural numbers of the form $\text{‘}aabb\text{’},$ where $a>0,$ is$5050$$4466$$5544$$4864$

11

Let $\text{A, B}$ and $\text{C}$ be three positive integers such that the sum of $\text{A}$ and the mean of $\text{B}$ and $\text{C}$ is $5$. In addition, the sum of $\te...

12

The average of $8$ readings is $24.3$, out of which the average of first two is $18.5$ and that of next three is $21.2$. If the sixth reading is $3$ less than seventh and...

13

In the first $10$ overs of a cricket game, the run rate was only $3.2$. What should be the run rate in the remaining $40$ overs to reach the target of $282$ runs?$6.25$$6...

14

A car owner buys petrol at $\text{Rs. }7.50, \text{Rs. }8$ and $\text{Rs. }8.50$ per litre for three successive years. What approximately is the average cost per litre of...

15

The average of the husband and his wife age was $23$ years at the time of their marriage. After five years they have a one year old child. The average age of the family n...

16

The average of $30$ integers is $5$. Among these $30$ integers, there are exactly $20$ which do not exceed $5$. What is the highest possible value of the average of these...

17

In an apartment complex, the number of people aged $51$ years and above is $30$ and there are at most $39$ people whose ages are below $51$ years. The average age of all ...

18

A $\text{CAT}$ aspirant appears for a certain number of tests. His average score increases by $1$ if the first $10$ tests are not considered, and decreases by $1$ if the ...

19

The average height of $22$ toddlers increases by $2$ inches when two of them leave this group. If the average height of these two toddlers is one-third the average height...

20

An elevator has a weight limit of $630$ kg. It is carrying a group of people of whom the heaviest weighs $57$ kg and the lightest weighs $53$ kg. What is the maximum poss...

21

A class consists of $20$ boys and $30$ girls. In the mid-semester examination, the average score of the girls was $5$ higher than that of the boys. In the final exam, how...

22

Amol was asked to calculate the arithmetic mean of $10$ positive integers, each of which had $2$ digits. By mistake, he interchanged the $2$ digits, say $a$ and $b$, in o...

23

Mohan is a carpenter who specialises in making chairs. For every assignment he undertakes, he charges his commision and cost. His commission is fixed and equals $ ₹560$...

24

Ramesh and Gautam are among $22$ students who write an examination. Ramesh scores $82.5$. The average score of the $21$ students other than Gautam is $62$. The average sc...

25

26

Three math classes; $\text{X, Y},$ and $\text{Z},$ take an algebra test.The average score in class $\text{X}$ is $83.$The average score in class $\text{Y}$ is $76.$The av...

27

A college has raised $75\%$ of the amount it needs for a new building by receiving an average donation of Rs. $600$ from the people already solicited. The people already ...

28

A shipping clerk has five boxes of different but unknown weights each weighing less than $100$ kg. The clerk weighs the boxes in pairs. The weights obtained are $110, 112...

29

Consider a sequence of seven consecutive integers. The average of the first five integers is $n.$ The average of all the seven integers is$n$$n+1$$\text{K} \times n, \tex...

30

A boy finds the average of $10$ positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say $ba$ for $ab.$ Due to t...

31

Consider the set $S = \{2, 3, 4, \dots , 2n+1\} $ where $n$ is a positive integer larger than $2007.$ Define $\text{X}$ as the average of the odd integers in $S$ and $\te...

32

The average age of Sachin and Ganguli is 35 yrs. If Kaif replaces Sachin, the average age is 32 yrs, if Kaif replaces Ganguly average age is 38 yr. If the average age of ...

33

In a class of 51 students, the difference between the highest mark and the least mark is 70. If the average score is calculated without considering the student who got th...