• This is an assessment test.
  • To draw maximum benefit, study the concepts for the topic concerned.
  • Kindly take the tests in this series with a pre-defined schedule.

Arithmetic: Averages Test-6

Congratulations - you have completed Arithmetic: Averages Test-6.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
Your answers are highlighted below.
Question 1
The average age of a group is increased by 5 years when a person of whose age is 33 yrs was replaced by a person whose age is 58. find the number of persons in the group?
A
4
B
5
C
8
D
9
Question 1 Explanation: 
Increase in the average = 5 years
Replaced person’s age = 33
The age of person who replaced = 58
So the number of persons in the group may be calculated as
New person age = Replaced person + (increase in average x number of terms)
Now we have the values
58 = 33 + (5n)
n = 5
so option b is the right answer
Alternatively
Let the number of members = n
Average = a
Total values will be = na
Now increase in average = 5 years
Therefore total new value = n(a +5)
Now na -33 + 58 = na +5n
na + 25 = na +5n = 5
Question 2
The average height of 30 students is 140 cm .If 4 students whose average height was 90 cm leave the class find the average height of the remaining class
A
148
B
142
C
141
D
150
Question 2 Explanation: 
Average height = 140
Number of students = 30
Therefore total units are = 140 x 30 = 4200
Now the number of students who left the class = 4
And the average height of 4 students = 180
Therefore total units are 90 x 4 = 360  
So the remaining units are 4200 – 360 = 3840 and the remained students are 26 = 148 cm
Question 3
The average of 4 consecutive numbers is A then what will be the average of next 5 numbers of the series
A
4.5
B
3.5
C
4.8
D
5.9
Question 3 Explanation: 
Let the series of the consecutive numbers is x, x+1 , x+2 , x+3.
And the other five numbers would be = , x+4,  x+5,  x+6,  x+7,  x+8,
Now we are given by the average of first 4 numbers i.e. A
So A = {(4x +6)}/4
Therefore A = x + 1.5
Now we asked for the average of 5 next numbers so the next five numbers are
x+4,  x+5,  x+6,  x+7,  x+8, = 5x + 30
let us suppose the average is B
B = 5x + 30 /5 = x +6, which is equal to the A + 4.5
Question 4
The average monthly expenditure of Pranav in the first 7 months of a year is Rs. 3000. What should be his average monthly expenditure over the next months so that his average monthly expenditure over the year is  Rs. 7000
A
13000
B
18500
C
12600
D
16700
Question 4 Explanation: 
Average monthly expenditure of Pranav in the first 7 months of a year = Rs. 3000
So total money would be = 21000
Months left five
Now his average monthly expenditure over the year should be   Rs. 7000
So the total amount would be 7000 x 12 = 84000
So for next five months the salary would be = (84000 – 21000)/5 = 63000/5 = Rs. 12600
Question 5
The average age of 10 students in a class is 15 and if one teacher is added then the average increased by 2years .Find the age of the teacher
A
34
B
25
C
38
D
37
Question 5 Explanation: 
The number of students initially = 10
Average of ages = 15
So the total number of units = 150
Now one teacher is added the number of student and one teacher = 11
And the average is increased by 2 years
So new total units are = 11 x 17 = 187
So the  age of the teacher = 187 – 150 = 37
Once you are finished, click the button below. Any items you have not completed will be marked incorrect. Get Results
There are 5 questions to complete.
List
Return
Shaded items are complete.
12345
End
Return

Want to explore more Arithmetic Tests?

Explore Our Arithmetic Tests

Pop Up

LIVE STREAMING ON YOUTUBE

Starting 3rd June 2024, 7pm

Onwards

FREE CHEAT SHEET

Learn
How to Master VA-RC 

This free (and highly detailed) cheat sheet will give you strategies to help you grow

No thanks, I don't want it.

Join our Free TELEGRAM GROUP for exclusive content and updates

Rsz 1rsz Close Img

Join Our Newsletter

Get the latest updates from our side, including offers and free live updates, on email.

Rsz Undraw Envelope N8lc Smal
Rsz 1rsz Close Img