Averages (200 Questions with Explanation): Quantitative Aptitude Test

46.

Total Marks obtained by a class is 2695 and the average score of the class is 55. Find the Total students in the class?

   A.) 48
   B.) 49
   C.) 50
   D.) 51

Answer: Option 'B'

Use the below formula to find the Total, when Average and Total No. of Students is provided Total no of students = Total Marks / Average Marks Total No. of students = ( 2695 / 55) = 49

47.

In the first 30 overs of a cricket game, the run rate was only 4.5. What should be the run rate in the remaining 20 overs to reach the target of 320 runs?

   A.) 10.2
   B.) 11.1
   C.) 9.3
   D.) 25

Answer: Option 'C'

Required Run rate = ( 320 - ( 4.5 x 30 ) )/ (20) = ( 185) /(20) = 9.25

48.

In a class of 27, the overall weight of the students is 997. Can you find the average weight of students in the class? 

   A.) 36.93
   B.) 38.78
   C.) 40.62
   D.) 35.08

Answer: Option 'A'

Use the below formula to find the average weight of the class
Average Weight = (Total Weight of Class / Total Number of Students)
=>Average Weight = (997/27) = 36.93

49.

In the first 25 overs of a cricket game, the run rate was only 2.2. What should be the run rate in the remaining 25 overs to reach the target of 225 runs. ?

   A.) 7.5
   B.) 6.8
   C.) 5.8
   D.) 12.3

Answer: Option 'B'

"Required Run rate = ( 225 - ( 2.2 x 25 ) )/ (25) = ( 170) /(25) = 6.8 "

50.

There were 22 students in a particular Class. The class teacher knows the overall height of all the students in the class is 1400. Can you find the average height of students in the class?

   A.) 60.46
   B.) 63.64
   C.) 70
   D.) 66.82

Answer: Option 'B'

Use the below formula to find the average height of students in the class Average Height = ( Total Height of all students in the Class / Total Number of Students) Average Height = ( 1400/22) = 63.64

51.

The average age of a group of 10 students was 16. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?

   A.) 29
   B.) 28
   C.) 29.5
   D.) 30

Answer: Option 'B'

The average age of a group of 10 students is 16.
Therefore, the sum of the ages of all 10 of them
= 10 × 16 = 160
When two students joins the group, the average increase by 2.
New Average = 18
Now there are 12 students
Therefore, sum of all the ages of 12 students = 216
Therefore, the sum of the ages of two students who joined
= 216 - 160 = 56
And the average age of these two students
= 56 / 2
= 28.

52.

If the average of seven numbers is 35. If one is included. The average become 40. The included number is: 

   A.) 70
   B.) 75
   C.) 65
   D.) 80

Answer: Option 'B'

75

53.

The average of 18 numbers is zero. Of them, at the most how many may be greater than zero?

   A.) 18
   B.) 19
   C.) 17
   D.) 15

Answer: Option 'C'

Average of 18 numbers is = 0 Therefore sum of all 18 numbers = 0
It is quite possible that 17 of these numbers may be positive and if their sum is "a" then 18th number is "(-a)"

54.

In the first 35 overs of a cricket game, the run rate was only 6.4. What should be the run rate in the remaining 15 overs to reach the target of 410 runs. ?

   A.) 13.6
   B.) 12.4
   C.) 11.2
   D.) 46.5

Answer: Option 'B'

"Required Run rate = ( 410 - ( 6.4 x 35 ) )/ (15) = ( 186) /(15) = 12.4 "

55.

In the first 10 overs of a cricket game, the run rate was only 5.6. What should be the run rate in the remaining 40 overs to reach the target of 254 runs. ?

   A.) 5.4
   B.) 5.9
   C.) 5
   D.) 8.5 

Answer: Option 'C'

Given
Target = 254 runs
First 10 overs, run rate = 5.6
Remaining Overs = 40.
Required Run rate
= ( 254 - ( 5.6 x 10 ) / (40)
= ( 198 ) /(40)
=4.95

56.

The average temperature for Monday, Tuesday and Wednsday is 36.3 degrees C. The average temperature for Tuesday, Wednesday and Thursday is 36.7 degrees C. if Monday's temperature recorded as 39 degrees c, find the Thursday's temperature ? 

   A.) 40.2º C
   B.) 40.4º C
   C.) 41.4º C
   D.) 39.2º C

Answer: Option 'A'

MOn + Tue + wed Temperature  =  3 × 36.3 = 108.9
Tue + wed Temperature = 108.9 - 39 = 69.9
Tue + wed + Thu temperature = 3 × 36.7 = 110.1
So, Thursday's temperature = 110.1 - 69.9 = 40.2º C

57.

In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?

   A.) 12.5 Yrs
   B.) 14.2 Yrs
   C.) 12.3 Yrs
   D.) 12.6 Yrs

Answer: Option 'D'

Total age of 50 students
(30X 13+20 X 12) = 630
Average =  630/50 = 12.6 Years

58.

 In a class of 18 students in an examination in science 1 student scored 100 marks, 2 get zero each and the average oh the rest was 45. What is the average of the whole class? 

   A.) 41
   B.) 43
   C.) 42
   D.) 44

Answer: Option 'B'

43

59.

The average temperature for Monday, Tuesday and Wednesday was 41 c. the average temperature for Tuesday, Wednesday and Thursday was 42 c. If the temperature on Thursday be 43 c, what was the temperature on Monday?

   A.) 41 c
   B.) 39 c
   C.) 40 c
   D.) 42 c

Answer: Option 'C'

Answer: Option 'C'

60.

Find the average of the first 56 natural numbers 

   A.) 28
   B.) 28.5
   C.) 29
   D.) 29.5

Answer: Option 'B'

Solution is
Average of n natural numbers = (n + 1) / 2
= (56 + 1) / 2
= 57 / 2
= 28.5
Answer is 28.5

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