Aptitude - Averages Online Quiz



Following quiz provides Multiple Choice Questions (MCQs) related to Averages. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - Find the average of the numbers which are as follows : 15, 5, 0, 12, 8

A - 4

B - 6

C - 8

D - 10

Answer : C

Explanation

Average required = (15+5+0+12+8)/5 = 40/5 = 8

Q 2 - Number of observations is 6 which average is 45.5. if number of observation add 1 more then the average of the numbers became 47. What should be the value of 1 new add observation?

A - 7

B - 14

C - 56

D - 28

Answer : C

Explanation

6 observation have the sum  = 45.5*6 = 273
7 observation have the sum=  47*7 =  329
Hence, the value of the new observation will be = 329- 273 = 56.

Q 3 - Find out the total employee's quantity if the given condition such that Rs. 8500 is the average salary of workers. 10000 Rs. is the average monthly salary of 7 technicians and remaining worker has Rs. 7800 average salary of the month.

A - 34

B - 22

C - 26

D - 80

Answer : B

Explanation

If x employees working in firm . then  (7* 10000)+7800(x-7 )= 8500
= 70000 +7800x-546 00 =8500x  ⇒ 700x = 15400 ⇒ x = 22
We find that 22 employees are working in the firm.

Q 4 - 84 kg is the average weight of 3 people A, B and C. 80 kg is the average if D joins the group. A new man E replaces who have 3kg more weight than D. At that time 79 kg is the average weight of B, C, D and E. What should be the weight of A?

A - 75 kg

B - 34 kg

C - 26 kg

D - 56 kg

Answer : A

Explanation

A+B+C= (3*84)= 252 kg.     A+B+C+D= (4*80)= 320 kg
weight of D =( 320- 252) =68 kg.   weight of E = (68+3)= 71 kg.
sum of the weight of B+C+D+E= (79*4)= 316 kg ,
sum of the weight of B+C+D = (316-71)=245kg.
Total weight of A = (320- 245 )= 75 kg.

Q 5 - 15 is the average weight of 19 students if a new student add then the average weight of the class is 14.8 kg. Find out the weight of the new join student?

A - 12 kg

B - 11 kg

C - 23 kg

D - 56 kg

Answer : B

Explanation

19 students have  total sum of the weight = (15*19) =285 kg.
20 students have total sum of the weight = (14.8*20)= 296 kg.
Weight of the new student = 296- 285 = 11 kg.

Q 6 - 555 is the sum of 5 numbers. What should be the last numbers if average of two numbers is 75 and last 3 numbers have average of 115?

A - 145

B - 150

C - 155

D - 160

Answer : A

Explanation

If a and b is the last two numbers. then,
 (75*2)+115+(a+b)= 555 ⇒(a+b)= 555-365= 290
 Average of last two numbers = 290/2 = 145

Q 7 - The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

A - 2

B - 70

C - 4

D - 76

Answer - D

Explanation

Average after 11 innings = 36. 
Therefore Required number of runs = (36 x 11) - (32 x 10) = 396 - 320 = 76.

Q 8 - Of the three numbers, the average of the first and the second is greater than the average of the second and the third by 15. What is the difference between the first and the third of the three numbers?

A - none

B - 15

C - 45

D - 60

Answer - A

Explanation

Let the numbers be a, b, and c. 
Then, (a + b)2 - (b + c)2 = 15 or 
or (a + b) - (b + c) = 30 or a - c = 30 

Q 9 - The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is?

A - 4050

B - 3500

C - 4000

D - 5000

Answer - C

Explanation

Let P,Q and R represent their respective monthly incomes. Then we have: 
P + Q = (5050 x 2) = 10100 ...(i)
Q + R = (6250 x 2) = 12500 ...(ii)
P + R = (5200 x 2) = 10400 ...(i)
Adding (i), (ii), (iii) we get : 2(P + Q + R) = 33000 or P + Q + R = 16500 ...(iv)

Subtracting (ii) from (iv), we get P = 4000
Therefore P's monthly income = Rs. 4000.					

Q 10 - 10 years ago. the average age of a family of 4 members was 24 years. Two children having been born, (with age difference) the present average age of the family is the same today. The present age of the youngest child is?

A - 5

B - 3

C - 1

D - 2

Answer - B

Explanation

Total age of 4 members, 10 years ago = (24 x 4) years = 96 years 
Total age of 4 members now = 96 + 10 x 4 yrs = 136 years 
Total age of 6 members now = (24 x 6) years = 144 years 
Sum of the ages of 2 children = (144 - 136) years = 8 years 

Let the age of the younger child be z years. 
Then, age of the elder child = (z + 2) years 
so, z + z + 2 = 8 
2z = 6 
z = 3 
Therefore Age of younger child = 3 years.
aptitude_averages.htm
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