Aptitude - Averages Online Quiz


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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 - What should be the average of all odd numbers up to 100?

A - 45

B - 50

C - 30

D - 56

Answer : B

Explanation

Up to 100 all odd number have the sum = (1+3+5+7++99)
= (1+99)+(3+97)+(5+95)+... Upto 25 terms
= 100+100+100+... upto 25 terms = 2500
Average = 2500/50 = 50

Q 2 - 37 °C is mean temperature of 3 days Monday, Tuesday, Wednesday while 34°C is average of Tuesday, Wednesday and Thursday . What should be the temperature on Thursday if the temperature was 4/5 of that of Monday?

A - 23°

B - 36°

C - 45°

D - 89°

Answer : B

Explanation

M+ T+W =(37*3) = 111...(i)
T+W+Th= (34*3) = 102 ...(ii)
Th =4/5m ⇒ M = 5/4*th ...(iii)
(ii)-(i)  gives , M-Th = 9 ⇒ 5 Th /4  Th =9
If we assume that x° is the temperature on Thursday. Then,
5x/4 x =9 ⇒ 5x-4x = 36 ⇒ x = 36°
Hence, its proves that the Thursday temperature was 36°.

Q 3 - 50 marks is the average of 5 students in English. What should be the right average if 48 marks read 84 by mistake.

A - 42.8

B - 43

C - 44

D - 45

Answer : A

Explanation

Sum of the 5 students mark = (50*5)= 250
We find the actual sum of 5 students mark = (250+48- 84) = 214
Hence,  the right average  will be = 214/5 = 42.8

Q 4 - What should be the age difference between new man and the old members if interchange with new men with old men then the average age of 5member as he was before the period of 3 year has no change at the present time?

A - 15 years

B - 17 years

C - 18 years

D - 20 years

Answer : A

Explanation

Sum of the increment during the period of 3 years =(5*3) = 15 Years.
∴  old and new man have the age difference between them = 15 years.

Q 5 - What should be the largest number if first number is the half of the second number and third number is 1/3 of the second number? 44 is the average of three numbers?

A - 72

B - 62

C - 52

D - 42

Answer : A

Explanation

if x is the third number , then second number = 3x  ∴ first number = 3x/2
Average =1/3 (3x/2+3x+x) ⇒  (11x/6) =44  ⇒ 11x=264 ⇒ x = 24
Hence, the second number (24*3)=72  is the largest number.

Q 6 - M is the average of 5 consecutive natural numbers. What should be the improvement in average if next 3 numbers included?

A - 1

B - 1.5

C - 1.4

D - 2

Answer : B

Explanation

let the 5 consecutive natural numbers be n, n+1,n+2, n+3, n+4. Then
n+(n+1)+(n+2)+(n+3)+(n+4) /5 = 5n+10= 5m ⇒ 5(n+2)= 5m  ⇒ (n+2) =m ⇒ n=(m-2)
New numbers are m-2, m-1, m, m+1,m+2,m +3, m+4, m+5
New average = ( 8m+12)/8 = m+1.5 , which is 1.5 more than m.

Q 7 - A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must be have in the sixth month so that he gets an average sale of Rs. 6500?

A - 6991

B - 6001

C - 5991

D - 4991

Answer - D

Explanation

Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009. 
Therefore Required sale = Rs. [(6500 6) - 34009] = Rs. (39000 - 34009) = Rs. 4491

Q 8 - If the arithmetic mean of seventy-five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is?

A - 70

B - 90

C - 30

D - 40

Answer - D

Explanation

A.M. of 75 numbers = 35. 
Sum of 75 numbers = (75 x 35) = 2625. 
Total increase = (75 x 5) = 375. 
Increased sum = (2625 + 375) = 3000. 
Increased average = 300075 = 40.

Q 9 - The average monthly salary of 20 employees in an organisation is Rs. 1500. If manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?

A - 2000

B - 3600

C - 2400

D - 4800

Answer - B

Explanation

Manager's monthly = (16000 x 21 - 1500 x 20) = Rs. 3600.

Q 10 - 3 years ago. the average age of a family of 5 members was 17 years. A baby having been born, the average age of the family is the same today. The present age of the baby is ?

A - 3

B - 4

C - 2

D - 1

Answer - C

Explanation

Total age of 5 members, 3 years ago = (17 x 5) years = 85 years 
Total age of 5 members now = (85 + 3 x 5) yrs = 100 years 
Total age of 6 members now = (17 x 6) years = 102 years 

Therefore Age of younger child = (102 - 100) = 2 years

aptitude_averages.htm

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