# Chapter – 3 ( Average)

Questions With Solution

1. The average age of 30 students of a class is 14 years, if the age of a teacher is included, then the average age beocmes 15 years. What is the age of the teacher?

a. 30         b. 45         c. 60       d. 25

Solution :-

2. The average weight of four persons increase by 3 kg when a new person is replaced by one of them whose weight is 120. What is the weight of the new person?

a. 132         b. 135          c. 140            d. 133

Solution :-

3. The average age of three boys is 15 years. If their age ratio is 3:5:7, what will be the age of the youngest boy?

a. 6            b. 9           c. 3             d. 12

Solution :-

4. A person covers a certain distance X km/hr. If he cover the same distance at a speed of Y km/hr. What will be his average speed?

Solution :-

5. The average marks of 40 students in a class is 86, if the 5 heighest marks are removed, then the average is reduced by one unit, what is the average marks of the top 5 students?

a. 90           b. 93           c. 95             d. 97

Solution :-

6. The average run rate of 6 players in a cricket match was 36. If one of these players scored 16, then what is the average run of the remaining players?

a. 37             b. 39            c. 40              d. 42

Solution :-

7. A cricket player had an average of 10 innings, he scored 108 runs in the 11th innings and this increased his average run by 6. Now what is his average run?

a. 42            b. 44          c. 46           d. 48

Solution :-

8. The average age of 30 students in a class is 14 years. If the age of a teacher is included, then the average age becomes 15 years. What is the age of the teacher?

a. 42            b. 44          c. 46           d. 45

Solution :-

9. The average of two numbers A and B is 20, the average age of B and C is 19 and the average age of C and A is 21. What is the value of A ?

a. 20           b. 21             c. 22             d. 23

Solution :-

10. The average marks of students is 68 in a class. The average marks of girls in the class is 80 and the average marks of boys is 60. What percentage of students are boys in the class?

a. 55             b. 50            c. 60             d. 65

Solution :-

11. The average marks of boys and girls in an examination is 71 and 73 respectively. The average marks of all students is 71.8. What is the ratio of boys and girls?

a. 3:2       b. 5:2         c. 4:5            d. 3:5

Solution :-

12. The average of 5 numbers is 306.04. The average of the first two numbers is 431 and the average of the last two numbers is 214.5. What is the third number?

a. 33           b. 45             c. 75            d. None of these

Solution :-

13. The average marks of 28 students in mathematics was 50. 8 students left school, in that case the marks of remaining students increased by 5. What is the average marks of students leaving the school?

a. 35.5            b. 37.5          c. 39.5             d. 41.5

Solution :-

14. The average marks of 120 students was 35. If the average marks of passed students is 39 and the average marks of failed students is 15, then how many students passed?

a. 90           b. 95           c. 100            d. 105

Solution :-

15. The average of 13 numbers is 68. The average of the first 7 numbers of them is 63 and the average of last 7 numbers is 70. What is the seventh number?

a. 45           b. 47           c. 49          d. 51

Solution :-

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