Averages Problems for SSC CGL

11.

Total Marks obtained by a class is 1632 and the average score of the class is 68. Find the Total students in the class? 

   A.) 22
   B.) 24
   C.) 26
   D.) 28

Answer: Option 'B'

Use the below formula to find the Total, when Average and Total No. of Students is provided.
Formula: Total no of students = Total Marks / Average Marks
Total No. of students = ( 1632 / 68) = 24

12.

Find the average of first 26 multiples of 11.

   A.) 148.5
   B.) 149
   C.) 148
   D.) 149.5

Answer: Option 'A'

Average of first 26 natural numbers = ( n + 1 ) / 2
= ( 26 + 1 ) / 2
= 27 / 2
= 13.5
Average of first 26 multiples of 11 = ( Average of first 26 natural numbers ) × 11
= 13.5 × 11
148.5

13.

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? 

   A.) 2 years
   B.) 4 years
   C.) 6 years
   D.) 8 years

Answer: Option 'C'

Given
Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.
Required difference = (42 - 36) years = 6 years.

14.

There were 12 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.) 110.84
   B.) 122.5
   C.) 116.67
   D.) 128.34

Answer: Option 'C'

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 = ( 1400/12) = 116.67

15.

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin? 

   A.) 16 years
   B.) 18 years
   C.) 24.5 years
   D.) 28 years

Answer: Option 'C'

Given
Let Rahul's age be x years.
Then, Sachin's age = (x - 7) years.
Therefore, x - 7 / x = 7/9
=> 9x - 63 = 7x => 2x = 63
=> x = 31.5
Hence, Sachin's age =(x - 7) = 24.5 years.

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