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Problems on Average

Average - Aptitude

1. Find the average of all prime numbers between 10 and 30.

A. 17.8

B. 16.6

C. 18.667

D. 19.6

x

 

Option: C

Explanation

Totally there are 6 prime numbers between 10 & 30

they are 11, 13, 17, 19, 23 & 29

Average =

11 + 13 + 17 + 19 + 23 + 29
6
= 18.667

Answer


2. Find the average of first 20 natural numbers.

A. 10.5

B. 10

C. 11

D. 11.5

x

 

Option: A

Explanation

Sum of first n natural numbers =

n(n + 1)
2

Sum of first 20 natural numbers =

20 * 21
2
=210

Average =

210
20
=10.5

Answer


3. Find the average of first 20 multiples of 5.

A. 51.5

B. 52.5

C. 50.5

D. 50

x

 

Option: B

Explanation

Sum of first n natural numbers =

n(n + 1)
2

Sum of first 20 natural numbers =

20 * 21
2
=210

Average =

210
20
=10.5

Average of first 20 multiples of 5 = 5 * 10.5 = 52.5

Answer


4. The average of four consecutive even numbers is 27. Find the largest of these numbers.

A. 14

B. 30

C. 24

D. 12

x

 

Option: B

Explanation

Assume the numbers as x, x + 2, x + 4 & x + 6

Average of that 4 numbers =

x + (x + 2) + (x + 4) + (x + 6)
4

4x + 12
4
= 27

x + 3 = 27 = 24

Largest number = (x + 6) = 24 + 6 = 30

Answer


5. There are two sections A and B of a class, consisting of 40 and 36 students respectively. If the average weight of section A is 40 kg and that of section B is 45 kg. Find the average weight of the whole class.

A. 40.4

B. 37.25

C. 42.4

D. 43.15

x

 

Option: C

Explanation

Total number of students = 40 + 36 = 76 Students

Total weight of students = (40 * 40) + (36 * 45) = 3220 kg

Average weight of whole class =

3220
76
=42.4 kg

Answer


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