Averages Problems for SSC CGL

1.

There were 8 students in a particular Class. The class teacher knows the overall height of all the students in the class is 1200. Can you find the average height of students in the class?

   A.) 150
   B.) 155
   C.) 153
   D.) 159

Answer: Option 'A'

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 = ( 1200/8) = 150

2.

The average weight of a class having 14 students is 44 kg. Find the total weight of the class.

   A.) 606
   B.) 616
   C.) 626
   D.) 636

Answer: Option 'B'

Solution is
Given, average weight = 44 kg.
No. of students = 14
Average = Total Quantity / No. of Quantity
=> Total quantity = Avg x No. of Quantity
=> Total weight of the class = Average weight x No. of students
= 44 x 14
= 616

3.

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

   A.) 24
   B.) 27
   C.) 40
   D.) Cannot be determined

Answer: Option 'A'

Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
Then, 5x+ 3 / 4x + 3 = 11/9 => 9(5x + 3) = 11(4x + 3) => 45x + 27 = 44x + 33
=> 45x - 44x = 33 - 27 => x = 6.
Anand's present age = 4x = 24 years.

4.

In a class of 19, the overall weight of the students is 1024. Can you find the average weight of students in the class?

   A.) 53.89
   B.) 56.58
   C.) 51.2
   D.) 59.28

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 = (1024/19) = 53.89

5.

Physics Teacher knows the average score of 59 students in her subject is 49.5. Can you help the physics teacher to find the overall marks obtained by all the students in her subject?

   A.) 2774.48
   B.) 2920.5
   C.) 3212.55
   D.) 3066.53

Answer: Option 'B'

Use the below formula to find the Total, when Average and Total No. of Students is provided Total = Average * Total Students/People Total = Average * Total Number of Students) Average Weight = ( 49.5 x 59) = 2920.5

6.

The average weight of 16 students in a class is 36 kg. Find the total weight of the class.

   A.) 526
   B.) 496
   C.) 576
   D.) 556

Answer: Option 'C'

Average = Total Quantity / No. of Quantity Total quantity = Avg x No. of Quantity Total quantity = 16 x 36 = 576

7.

In the first 30 overs of a cricket game, the run rate was only 6.4. What should be the run rate in the remaining 20 overs to reach the target of 225 runs. ? 

   A.) 1.65
   B.) 1.98
   C.) 1.485
   D.) 2.935

Answer: Option 'A'

Given
In, first30 overs of a cricket game.
Run rate = 6.4
Required Run rate in the remaining 20 overs to reach the target of 225 runs
Required Run rate
= ( 225 - ( 6.4 x 30 ) ) / (20)
= ( 33) / (20)
= 1.65.

8.

Find the sum of first 50 Odd Natural number.

   A.) 2500
   B.) 2400
   C.) 2550
   D.) 2600

Answer: Option 'A'

Sum of Consecutive Odd Numbers:
If N = number of odd terms then sum = (N)2
Here, N = 50
Then, sum of first 50 Odd Natural number = (50)22500.

9.

The average age of a group of 10 students was 24. The average age increased by 1 years when two new students joined the group. What is the average age of the two new students who joined the group? 

   A.) 30
   B.) 15.5
   C.) 19
   D.) 19.5

Answer: Option 'A'

The average age of a group of 10 students is 24
Therefore, the sum of the ages of all 10 of them
= 10 × 24
= 240
When two students joins the group, the average increase by 1
New Average = 25
Now there are 12 students.
Therefore, sum of all the ages of 12 students
= 12 × 25
300
Therefore, the sum of the ages of two students who joined
= 300 - 240
= 60
And the average age of these two students
= 60 / 2
30.

10.

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

11.

In a class of 17, the overall weight of the students is 743. Can you find the average weight of students in the class?

   A.) 43.71
   B.) 41.52
   C.) 45.9
   D.) 48.08

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 = ( 743/17) = 43.71

12.

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

13.

Find the average of the first 27 natural numbers

   A.) 14
   B.) 13.5
   C.) 14.5
   D.) 9

Answer: Option 'A'

Solution is
Average of n natural numbers =( n + 1 ) / 2
Average of 27 natural numbers = ( 27 + 1 ) / 2
= 28 / 2
= 14 
Answer is14

14.

The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?

   A.) 42
   B.) 57
   C.) 27
   D.) None of these

Answer: Option 'C'

The total of seven numbers = 7 × 18 = 126
The total of first 3 and last 3 numbers is = 3 × 14+3 × 19 = 99
So, the middle number is (126 - 99 ) = 27

15.

A particular student has scored an average marks of 69.25 in all his 55 subjects. Find the Total Score he has obtained in all his subjects?

   A.) 3999.19
   B.) 3808.75
   C.) 4189.63
   D.) 3618.31

Answer: Option 'B'

Use the below formula to find the Total, when Average and Total No. of Students is provided Total = Average * Total Students/People Total = Average * Total Number of Students) Average Weight = ( 69.25 x 55) = 3808.75

16.

There were 8 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.) 192.5
   B.) 175
   C.) 183.75
   D.) 166.25

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 = ( 1400/8) = 175

17.

Average Marks of a class of 59 students is 79.25. Find the Total Marks obtained by all the students in the class?

   A.) 5143.33
   B.) 4675.75
   C.) 4909.54
   D.) 4441.96

Answer: Option 'B'

Use the below formula to find the Total, when Average and Total No. of Students is provided Total = Average * Total Students/People Total = Average * Total Number of Students) Average Weight = ( 79.25 x 59) = 4675.75

18.

The average of 5 consecutive numbers is n. if the next two number are also included. The average will? 

   A.) Remain the same
   B.) Increase by 1
   C.) Increase by 2
   D.) Decrease by 1

Answer: Option 'B'

Increase by 1

19.

There were 17 students in a particular Class. The class teacher knows the overall height of all the students in the class is 1200. Can you find the average height of students in the class?

   A.) 67.06
   B.) 70.59
   C.) 74.12
   D.) 77.65

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 = ( 1200/17) = 70.59

20.

The average age of a group of 10 students was 26. The average age increased by 1 years when two new students joined the group. What is the average age of the two new students who joined the group ?

   A.) 20
   B.) 16.5
   C.) 18.5
   D.) 21.5

Answer: Option 'C'

The average age of a group of 10 students is 26.
Therefore, the sum of the ages of all 10 of them = 10 × 26 = 260
When two students joins the group, the average increase by 1.
New Average = 27 Now there are 11 students
Therefore, sum of all the ages of 11 students = 297
Therefore, the sum of the ages of two students who joined = 297 - 260 = 37
And the average age of these two students = 18.5


Averages Problems for SSC CGL Download Pdf