Averages Problems for SSC CGL

421.

If the average age of six numbers is 30. If one is excluded. The average become 25. The excluded number is:

   A.) 54
   B.) 55
   C.) 53
   D.) 45

Answer: Option 'B'

422.

The average age of a group of 10 students was 14. 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.) 20.5
   C.) 21.5
   D.) 19

Answer: Option 'A'

The average age of a group of 10 students is 14.
Therefore, the sum of the ages of all 10 of them = 10 * 14 = 140
When two students joins the group, the average increase by 1. New Average = 15
Now there are 12 students
Therefore, sum of all the ages of 12 students = ( 12 X 15 ) = 180
Therefore, the sum of the ages of two students who joined = 180 - 140 = 40
And the average age of these two students =20

423.

Total Marks obtained by a class is 1564 and the average score of the class is 68. Find the Total students in the class? 

   A.) 21
   B.) 22
   C.) 23
   D.) 24

Answer: Option 'C'

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 = ( 1564 / 68) = 23.

424.

Total marks obtained by a class is 720 and the average score of the class is 72. Find the total number of students in the class? 

   A.) 11
   B.) 10
   C.) 12
   D.) 13

Answer: Option 'B'

Total number of students = Total Marks / Average Marks
Total No. of students = (720 / 72) = 10

425.

Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?  

   A.) 16 years
   B.) 20 years
   C.) 18 years
   D.) Cannot be determined

Answer: Option 'A'

Given, Six years ago, the ratio of ages ofKunal and Sagar = 6 : 5
Thus, the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then, the present age of Kunal = 6x + 6
the present age of Sagar = 5x + 6
Given,Four years hence, the ratio of their ages will be 11 : 10
=> The age of Kunal after four years = 6x + 6 + 4 = 6x + 10
The age of Sagar after four years = 5x + 6 + 4 = 5x + 10
=>(6x + 10) / (5x + 10) = 11 / 10
=> 10 (6x + 10) = 11 (5x + 10)
=> 60x + 100 = 55x + 110
=> 60x - 55x = 110 - 100
=> 5x = 10
=> x = 2
Thus, present age of Sagar =5x + 6
= 5(2) + 6
= 10 + 6
16 years

426.

In the first 25 overs of a cricket game, the run rate was only 5.6. What should be the run rate in the remaining 25 overs to reach the target of 280 runs. ?

   A.) 6.16
   B.) 6.72
   C.) 5.6
   D.) 5.04

Answer: Option 'C'

Required Run rate = ( 280 - ( 5.6 x 25 ) )/ (25) = ( 140) /(25) = 5.6

427.

A particular student has scored an average marks of 69.25 in all his 33 subjects. Find the Total Score he has obtained in all his subjects?

   A.) 2513.78
   B.) 2399.51
   C.) 2170.99
   D.) 2285.25

Answer: Option 'D'

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 33) = 2285.25

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