1. In an examination, 40% of the candidates wrote their answers in Hindi and the others in English. The average marks of the candidates who wrote in Hindi is 74 and the average marks of the candidates who wrote in English is 77. What is the average marks of all the candidates ?

(CDS - II 2010)

(a) 75.5

(b) 75.8

(c) 76.0

(d) 76.8

2. The average age of 100 workers in a factory is 36.5 years. The average age of the men is 45 years and that of the women is 28 years. The number of women working in the factory is

(SSC CHSL Exam 2011)

(a) 50

(b) 45

(c) 40

(d) 60

(CDS - II 2010)

(a) 75.5

(b) 75.8

(c) 76.0

(d) 76.8

2. The average age of 100 workers in a factory is 36.5 years. The average age of the men is 45 years and that of the women is 28 years. The number of women working in the factory is

(SSC CHSL Exam 2011)

(a) 50

(b) 45

(c) 40

(d) 60

3. The average runs scored by a cricketer in 42 innings, is 30. The difference between his maximum and minimum scores in an inning is 100. If these two innings are not taken into consideration, then the average score of remaining 40 innings is 28. Calculate the maximum runs scored by him in an innings ?

(a) 125

(b) 120

(c) 110

(d) 100

4. The average of four positive integers is 73.5. The highest integer is 108 and the least integer is 29. The difference between remaining two integers is 15. Which of the following is smaller of the remaining two integers ?

(a) 80

(b) 86

(c) 65

(d) 71

5. In a family of 8 adult and some minors, an average consumption of rice per head, per month is 10.8 kg, while the average consumption for adult is 15 kg per head and for minors 6 kg per head. The number of minors in the family is

(a) 8

(b) 6

(c) 7

(d) 9

6. The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If the highest score is 92, find the lowest.

(CAT 1997)

(a) 55

(b) 60

(c) 62

(d) Cannot be determined

7. Average of two numbers is 8 and average of other three numbers is 3; the average of the five numbers is (SSC CGL Exam 31-08-2016)

(a) 2

(b) 3

(c) 5

(d) 6

8. The average of first five odd multiples of 3 is (SSC CHSL Exam 2012)

(a) 12

(b) 16

(c) 15

(d) 21

9. The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20 kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in that class ? (UIA Co Ltd Exam 22-09-2017)

(a) 14 and 26

(b) 17 and 27

(c) 19 and 21

(d) 13 and 27

(e) 15 and 29

10. The average weight of a group of 75 girls was calculated as 47 kg. It was later discovered that the weight of one of the girls was read as 45 kg, whereas her actual weight was 25 kg. What is the actual average weight of the group of 75 girls ? (Rounded off to two digits after decimal)

(a) 46.73 kg

(b) 46.64 kg

(c) 45.96 kg

(d) Can't be determined

(e) None of these

(a) 125

(b) 120

(c) 110

(d) 100

4. The average of four positive integers is 73.5. The highest integer is 108 and the least integer is 29. The difference between remaining two integers is 15. Which of the following is smaller of the remaining two integers ?

(a) 80

(b) 86

(c) 65

(d) 71

5. In a family of 8 adult and some minors, an average consumption of rice per head, per month is 10.8 kg, while the average consumption for adult is 15 kg per head and for minors 6 kg per head. The number of minors in the family is

(a) 8

(b) 6

(c) 7

(d) 9

6. The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If the highest score is 92, find the lowest.

(CAT 1997)

(a) 55

(b) 60

(c) 62

(d) Cannot be determined

7. Average of two numbers is 8 and average of other three numbers is 3; the average of the five numbers is (SSC CGL Exam 31-08-2016)

(a) 2

(b) 3

(c) 5

(d) 6

8. The average of first five odd multiples of 3 is (SSC CHSL Exam 2012)

(a) 12

(b) 16

(c) 15

(d) 21

9. The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20 kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in that class ? (UIA Co Ltd Exam 22-09-2017)

(a) 14 and 26

(b) 17 and 27

(c) 19 and 21

(d) 13 and 27

(e) 15 and 29

10. The average weight of a group of 75 girls was calculated as 47 kg. It was later discovered that the weight of one of the girls was read as 45 kg, whereas her actual weight was 25 kg. What is the actual average weight of the group of 75 girls ? (Rounded off to two digits after decimal)

(a) 46.73 kg

(b) 46.64 kg

(c) 45.96 kg

(d) Can't be determined

(e) None of these

**Directions (Questions 11 to 13):**Answer the questions based on the following information.

(CAT 1997)

*There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students respectively. The groups A and C are combined to form group D.*

11. What is the average weight of the students in group D ?

(a) More than the average weight of A

(b) More than the average weight of C

(c) Less than the average weight of C

(d) Cannot be determined

12. If one student from group A is shifted to group B, which of the following will be true ?

(a) The average weight of both the groups increases

(b) The average weight of both the groups decreases

(c) The average weight of the class remains the same

(d) Cannot be determined

13. If all the students of the class have the same weight, then which of the following is false ?

(a) The average weight of D is greater than the average weight of A.

(b) The total weight of A and C is twice the total weight of B.

(c) The average weight of all the four groups is the same.

(d) The average weight of all the groups remains the same even if a number of students are shifted from one group to another.

14. The average of runs of a cricket player of 10 innings was 32. How many runs must be scored in the next inning so as to increase his average of runs by 4 ?

(a) 76

(b) 70

(c) 4

(d) 72

15. The mean weight of 150 students in a certain class is 60 kg. The mean weight of the boys from the class is 70 kg, while that of girls is 55 kg. What is the number of girls in the class ?

(CDS - II 2010)

(a) 105

(b) 100

(c) 95

(d) 60