Averages Problems for SSC CGL

DigitalOcean Referral Badge DigitalOcean Referral Badge

1.

What is the average of first 21 multiples of 7?

   A.) 49
   B.) 77
   C.) 66
   D.) 57

Answer: Option 'B'

Required average  = 7(1+2+....+21) / 21
(7/21)X ( (21x22) / 2 )  (because sum of first 21 natural numbers)
= 77

DigitalOcean Referral Badge

2.

What is the average of first 21 multiples of 7?

   A.) 49
   B.) 77
   C.) 66
   D.) 57

Answer: Option 'B'

Required average  = 7(1+2+....+21) / 21
(7/21)X ( (21x22) / 2 )  (because sum of first 21 natural numbers)
= 77

DigitalOcean Referral Badge

3.

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

DigitalOcean Referral Badge

4.

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

DigitalOcean Referral Badge
    DigitalOcean Referral Badge DigitalOcean Referral Badge

5.

The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher 

   A.) 49
   B.) 48
   C.) 47
   D.) 50

Answer: Option 'A'

Total age of students is 32 × 16 = 512 Years
Total age inclusive of teacher = 33 × (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems 
Teacher's age is 16+(33 × 1) = 49 Years

DigitalOcean Referral Badge

6.

The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher 

   A.) 49
   B.) 48
   C.) 47
   D.) 50

Answer: Option 'A'

Total age of students is 32 × 16 = 512 Years
Total age inclusive of teacher = 33 × (16+1) = 561
So, Teacher's age is 561-512 = 49 Yrs
There is a shortcut for these type of problems 
Teacher's age is 16+(33 × 1) = 49 Years

DigitalOcean Referral Badge

7.

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

DigitalOcean Referral Badge

8.

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

DigitalOcean Referral Badge

9.

Average of five consecutive even numbers is 35. Find the greatest number in these five numbers? 

   A.) 31
   B.) 33
   C.) 39
   D.) 36

Answer: Option 'C'

39

DigitalOcean Referral Badge
    DigitalOcean Referral Badge DigitalOcean Referral Badge

10.

Average of five consecutive even numbers is 35. Find the greatest number in these five numbers? 

   A.) 31
   B.) 33
   C.) 39
   D.) 36

Answer: Option 'C'

39

DigitalOcean Referral Badge

Averages Problems for SSC CGL Download Pdf