Average MCQ Quiz - Objective Question with Answer for Average - Download Free PDF
Last updated on May 9, 2025
Latest Average MCQ Objective Questions
Average Question 1:
The average weight of the class is 60 kg and the average weight of boys in the class is 80 kg. The ratio of boys to girls in the class is 5 : 4 If there are 72 students in the class. Find the average weight of girls
Answer (Detailed Solution Below)
Average Question 1 Detailed Solution
The average weight of the class = 60 kg
The average weight of boys in the class = 80 kg
The ratio of boys to girls in the class is 5 : 4
The number of students in the class = 72
The number of girls = 4/9 × 72
⇒ 32
The number of boys = 5/9 × 72
⇒ 40
Total weight of students in the class = 72 × 60
⇒ 4320
The total weight of boy in class = 40 × 80
⇒ 3200
The total weight of girls = total weight - total weight of boys
⇒ 4320 - 3200 = 1120
The average weight of girls = 1120 /32
⇒ 35
∴ The required answer is 35.
Shortcut Trick Using alligation method
B : G
80 x
60
5 4
= 80 - 60 = 20
4 unit = 20
1 unit = 5
5 unit = 25
It means 60 - x = 25
x = 60 - 25 = 35
∴ The required answer is 35.
Average Question 2:
George scored 94 runs in the 20th innings in a Match and thus increased his average by 2. Find his average after the 20th innings ?
Answer (Detailed Solution Below)
Average Question 2 Detailed Solution
Given:
Let the Average of 19 innings = x
George Scored in 20th inning = 94
Average of 20 innings = x + 2
Formula:
Average = \(\frac{\text{Sum of observations}}{\text{Number of observations}}\)
Sum of the score before 20th inning = 19x
Sum of the score after 20th innings = 20(x + 2)
⇒ 20x + 40
Average After 20th inning = 19x = 20x + 40 - 94
⇒ x = 94 - 40
⇒ 54
Average of 20th inning = x + 2
⇒ 54 + 2 = 56
Average of 20th inning = 56
∴ The Correct Answer is 56.
Average Question 3:
While calculating average marks of 60 students, the two digits of original marks of a student are written reversed and thereby average of marks is increased by 0.6 Find the difference between the two digits of marks of the student?
Answer (Detailed Solution Below)
Average Question 3 Detailed Solution
Calculation
Let the correct number be 10x + y. Reversed = 10y + x
Difference = (10y + x) - (10x + y) = 9(y − x)
So, 9(y − x) = 36 → y − x = 4
Answer: 4
Average Question 4:
The average of 7 consecutive numbers is 20. The largest of these numbers is:
Answer (Detailed Solution Below)
Average Question 4 Detailed Solution
nGiven:
The average of 7 consecutive numbers is 20.
Formula used:
Average = \(\dfrac{sum \ of \ observation}{number \ of \ observation}\)
Calculations:
Let the consecutive numbers be a, (a+1), (a + 2), (a + 3), (a + 4), (a + 5), (a + 6)
According to problem,
\(\dfrac{a + (a + 1) + (a+ 2) + (a + 3) + (a + 4) + (a + 5) + (a + 6)}{7}\) = 20
⇒ 7a + 21 = 20 × 7
⇒ 7a = 140 - 21
⇒ 7a = 119
⇒ a = \(\dfrac{119}{7}\) = 17
So, The largest number = a + 6
⇒ 17 + 6 = 23
∴ The answer is 23
Shortcut Trick
The average of consecutive numbers = ( 1st no. + last no)/2
As per the question,
⇒The average of 7 consecutive numbers = (a + a+6)/2 =20
⇒a + 3 =20
⇒a =17(shortest number)
So, The largest number = a + 6 = 23
Average Question 5:
The average age of 25 girls in a class is 11.2 years and that of the remaining 15 girls is 10 years. Find the average age of all the girls in the class.
Answer (Detailed Solution Below)
Average Question 5 Detailed Solution
Given:
The average age of 25 girls in a class is 11.2 years
The remaining 15 girls is 10 years
Formula Used:
Average = \(\frac{sum\space of\space Ages}{Total\space number\space of \space girls}\)
Calculations:
The average age of 25 girls in a class is 11.2 years
⇒ Sum of ages = Average x Total number of girls
= 11.2 x 25 = 280
Now, The remaining 15 girls are 10 years
⇒ Sum of ages = Average x Total number of girls
= 10 x 15 = 150
The total sum of ages of all 40 girls
⇒ Sum of ages = 280 + 150 = 430
⇒ Average = \(\frac{sum\space of\space Ages}{Total\space number\space of \space girls}=\frac{430}{40}\) = 10.75 years
⇒ Hence, The average age of all 40 girls is 10.75 years
Top Average MCQ Objective Questions
The average weight of P and his three friends is 55 kg. If P is 4 kg more than the average weight of his three friends, what is P's weight (in kg)?
Answer (Detailed Solution Below)
Average Question 6 Detailed Solution
Download Solution PDFGiven:
The average weight of P and his three friends = 55 kg
The weight of P = 4 kg more than the average weight of his three friends
Formula used:
The total sum of the terms = Average × Number of terms
Calculation:
The total weight of P and his three friends = 55 × 4 = 220 kg
Let, the average weight of three friends = x
So, the total weight of three friends = 3x
The weight of P = x + 4
Then, (x + 4) + 3x = 220
⇒ 4x + 4 = 220
⇒ 4x = 220 - 4 = 216
⇒ x = 216/4 = 54
∴ P's weight = 4 + 54 = 58 kg
∴ The P's weight (in kg) is 58 kg
20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.
Answer (Detailed Solution Below)
Average Question 7 Detailed Solution
Download Solution PDFGiven:
Total students = 20
19 students spent = 175 each
Formula used:
Average cost = Total cost/total number of person
Calculation:
Let the 20th student spend = X
According to the question:
⇒ (19 × 175 + X)/20 = X - 19
⇒ (3325 + X) = 20 × (X - 19)
⇒ 3325 + X = 20X - 380
⇒ 19X = 3325 + 380 = 3705
⇒ X = 3705/19 = Rs.195
Total money spent at hotel = (19 × 175) + 195
⇒ 3325 + 195 = Rs.3520
∴ The correct answer is Rs.3520.
Alternate Method
Total Student = 20
Let Avg spend by 20 students = y
Total spend = 20y
⇒ 20y = 19 × 175 + (y + 19)
⇒ 19y = 3344
⇒ y = 176
Total spend = 20 × 176
∴ Total money spent by them is Rs. 3520
The average age of three persons P, Q and R is 24 years. S joins the group the average age becomes 30 years. If another person T who is 4 years older than S joins the group, then the average age of five persons is ____ years and the age of S is ____ years.
Answer (Detailed Solution Below)
Average Question 8 Detailed Solution
Download Solution PDFLet age of P, Q, R and S be P, Q, R and S respectively.
Given,
⇒ P + Q + R = 24 × 3
⇒ P + Q + R = 72
Then,
⇒ P + Q + R + S = 30 × 4 = 120
⇒ S = 120 - 72 = 48 Years
The age of S is 48 years.
⇒ T = 48 + 4 = 52 years
Total age of five persons =
= 120 + 52
= 172
Average age of 5 persons = 172/5 = 34.4 yearsThe average of 28 numbers is 77. The average of first 14 numbers is 74 and the average of last 15 numbers is 84. If the 14th number is excluded, then what is the average of remaining numbers? (correct to one decimal places)
Answer (Detailed Solution Below)
Average Question 9 Detailed Solution
Download Solution PDFGiven:
Average of 28 numbers = 77
Average of first 14 numbers = 74
Average of last 15 numbers = 84
Formula used:
Average = Sum of observations ÷ No of observations
Calculation:
Value of 14th number = (Sum of first 14 numbers + Sum of last 15 numbers) - Sum of 28 numbers
⇒ 14th Number = (14 × 74 + 15 × 84 - 28 × 77)
⇒ 1036 + 1260 - 2156 = 140
Average of remaining 27 numbers = (Sum of 28 numbers - 14th number) ÷ 27
⇒ (2156 - 140) ÷ 27 = 2016 ÷ 27
⇒ 74.66 or 74.7
∴ The required result = 74.7
Alternate Method
Average of 28 numbers = 77
Average of first 14 numbers = 74
Average of last 15 numbers = 84
Deviation on first 14 numbers = 74 - 77 = - 3 × 14 = - 42
Deviation on last 15 numbers = 84 - 77 = 7 × 15 = 105
14th number = 77 - 42 + 105 = 140
∴ Average of remaining 27 numbers = (28 × 77 - 140) ÷ 27 = 74.7
The batting average for 27 innings of a cricket player is 47 runs. His highest score in an innings exceeds his lowest score by 157 runs. If these two innings are excluded, the average score of the remaining 25 innings is 42 runs. Find his highest score in an innings.
Answer (Detailed Solution Below)
Average Question 10 Detailed Solution
Download Solution PDFGiven:
The batting average for 27 innings of a cricket player is 47 runs.
His highest score exceeds his lowest score by 157 runs.
If these two innings are excluded, the average of the remaining 25 innings is 42 runs.
Formula used:
Average run = Total run in total innings/Total number of innings
Calculation:
Sum of runs for 27 innings of a cricket player = 47 × 27 = 1269
Sum of runs for 25 innings of a cricket player = 42 × 25 = 1050
Sum of remaining 2 innings = 1269 - 1050 = 219
Let the minimum score be x and the maximum score be x + 157
According to the question,
x + x + 157 = 219
⇒ 2x = 219 - 157
⇒ 2x = 62
⇒ x = 31
So, highest score = 157 + 31
⇒ 188
∴ His highest score in an innings is 188.
Shortcut Trick
The batting average for 27 innings of a cricket player is 47 runs.
The batting average for 25 innings is 42 runs (High and Low score excluded)
Here, Average decreases by (47 - 42) = 5
So, Total runs in that two innings (H + L) = 47 + 47 + (25 × 5) = 219 runs
Difference of runs in that two innings (H - L) = 157 runs
So, 2H = 219 + 157
⇒ H = 376/2 = 188 runs
The average of nine numbers is 60, that of the first five numbers is 55 and the next three is 65. The ninth number is 10 less than the tenth number. Then, tenth number is –
Answer (Detailed Solution Below)
Average Question 11 Detailed Solution
Download Solution PDFGiven:
Average of nine numbers = 60
Average of first five numbers = 55 and average of next three numbers = 65
Tenth number = Ninth number + 10
Concept used:
Average = Total sum of all numbers / (Count of the numbers)
Calculation:
The sum of nine numbers = 60 × 9 = 540
The sum of the first five numbers = 55 × 5 = 275
The sum of the next three numbers = 65 × 3 = 195
Ninth number = (540 – 275 – 195) = (540 – 470) = 70
∴ Tenth number = 70 + 10 = 80
Mistake PointsWe have details about 10 numbers but the average is given only of 9
numbers. To calculate the 10th number, we have a relationship that is
the ninth number is 10 less than the tenth number. So after calculating
the 9th number, use this relation to find the next number. Don't take
the average of 10th number.
The average salary of the entire staff in Reliance Company is Rs.15000 per month. The average salary of officers is Rs.45000 per month and that of non-officers is Rs.10000 per month. If the number of officers is 20 then find the number of non-officers in the Reliance company.
Answer (Detailed Solution Below)
Average Question 12 Detailed Solution
Download Solution PDFGiven:
The average salary of the entire staff = Rs. 15000
The average salary of officers = Rs. 45000
The average salary of non-officers = Rs. 10000
Number of officers = 20
Calculations:
Let the number of non-officers be x.
Total member in entire staff = x + 20
Total salary of the entire staff = (x + 20) × 15000
⇒ 15000x + 300000 ----(1)
Total salary of officers = 20 × 45000 = 900000
Total salary of non-officers = x × 10000 = 10000x
Total salary of the entire staff = 900000 + 10000x ----(2)
From equation (1) and (2)
⇒ 10000x + 900000 = 15000x + 300000
⇒ 5000x = 600000
⇒ x = 120
Alternate Method
The ratio of officers to non-officers = 5000 ∶ 30000 = 1 ∶ 6
Number of officers = 1 unit = 20
Then, number of non-officers = 6 unit = 120
∴ Non-officers in reliance company be 120.Average of 40 numbers is 71. If the number 100 replaced by 140, then average is increased by.
Answer (Detailed Solution Below)
Average Question 13 Detailed Solution
Download Solution PDFGiven:
Average of 40 numbers = 71
Formula:
Average = Sum of all observations/Total number of all observations
Calculation:
Sum of 40 numbers = 40 × 71 = 2840
New sum of 40 numbers = 2840 – 100 + 140 = 2880
New average of 40 numbers = 2880/40 = 72
∴ The average increased = 72 – 71 = 1
Shortcut Trick
New average = Old average + (Change in number/Total numbers)
New average of 40 numbers = 71 + (140 – 100)/40 = 71 + 1 = 72
∴ The average increased = 72 – 71 = 1
The average weight of 20 students in a group is 54 kg. If 12 students of average weight 52 kg join the group and 7 students of average weight 56 kg leave the group, then what will be the average weight (in kg) of the remaining students in the group?
Answer (Detailed Solution Below)
Average Question 14 Detailed Solution
Download Solution PDFGiven:-
Average weight of 20 students = 54 kg
Average weight of 12 students = 52 kg
Average weight of 7 students = 56 kg
Formula used:-
Average = (Sum of all weight)/(Total no. of weight)
Calculation:-
According to question-
⇒ (Sum of 20 students)/20 = 54
⇒ Sum of 20 students = 54 × 20
⇒ Sum of 20 students = 1080
∴ Sum of 12 students = 52 × 12
⇒ Sum of 12 students = 624
⇒ Sum of 7 students = 56 × 7
⇒ Sum of 7 students = 392
Average of remaining students = (Sum of 20 students + Sum of 12 students - Sum of 7 students)/(20 + 12 - 7)
Average of remaining students = (1080 + 624 - 392)/25
Average of remaining students = 1312/25 = 52.48
∴ Average of remaining students is 52.48.
The average of 45 numbers is 150. Later it is found that a number 46 is wrongly written as 91, then find the correct average.
Answer (Detailed Solution Below)
Average Question 15 Detailed Solution
Download Solution PDFGiven:
The average of 45 data is 150
46 is wrongly written as 91
Concept used:
Average = Sum of total observations/Total number of observations
Calculation:
The total sum of all 45 number = 150 × 45 = 6750
Now, 46 is wrongly written as 91
The correct sum of data = 6750 – (91 – 46) = 6705
Then, Correct average of the data = 6705/45 = 149
∴ The correct average is 149
Difference between wrong and actual numbers = 91 – 46 = 45
As the actual number is less than the wrong number
So the average decreased by 45/45 = 1
The correct average = 150 – 1 = 149
∴ The correct average is 149