Misread Based MCQ Quiz - Objective Question with Answer for Misread Based - Download Free PDF
Last updated on Jun 11, 2025
Latest Misread Based MCQ Objective Questions
Misread Based Question 1:
In a police battalion of 600 police, the average height is 150 cm. Later it is discovered that for x policemen heights are copied wrongly as 160 cm instead of 190 cm. By taking the correct heights, the average is increased to 155 cm. Then x =
Answer (Detailed Solution Below)
Misread Based Question 1 Detailed Solution
Given:
Number of police = 600
Initial average height = 150 cm
Corrected average height = 155 cm
Height wrongly recorded for x policemen = 160 cm
Actual height of x policemen = 190 cm
Formula used:
New total height = Corrected average × Total number of police
Wrong total height = Initial average × Total number of police
Difference = Change caused by x policemen
Change caused by x policemen = x × (Actual height - Wrongly recorded height)
Calculation:
New total height = 155 × 600 = 93000
Wrong total height = 150 × 600 = 90000
⇒ Difference = New total height - Wrong total height
⇒ Difference = 93000 - 90000 = 3000
⇒ Change caused by x policemen = x × (190 - 160)
⇒ 3000 = x × 30
⇒ x = 100
∴ The correct answer is option (2).
Misread Based Question 2:
The average of 36 numbers was found to be 45. Later, it was detected that 84 was misread as 48. Find the correct average of the given numbers.
Answer (Detailed Solution Below)
Misread Based Question 2 Detailed Solution
Given,
The average of 36 observations = 45
Formula:
Average = sum of all observations/Total number of all observations
Calculation:
The average of 36 observations = 36
Sum of 36 observations = 36 × 45 = 1620
Correct sum of 36 observations = 1620 - 48 + 84
= 1620 + 36 = 1656
The correct mean of 36 observations = 1656/36 = 46
The correct mean of 36 observations is 46
Misread Based Question 3:
The average weight of a team of 20 people was calculated to be 59.8 kg and it was later discovered that one weight was misread as 68 kg instead of 77 kg. The correct average weight is:
Answer (Detailed Solution Below)
Misread Based Question 3 Detailed Solution
Given:
The average weight of 20 people = 59.8 kg
Formula used:
Average weight = total weight of people of a group/number of people in group
Calculation:
Correct average weight = {(59.8 × 20) - 68 + 77}/20
⇒ {1196 + 9}/20
⇒ 1205/20 = 60.25 kg
∴ The correct answer is 60.25 kg.
Misread Based Question 4:
A student‘s marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class got increased by 1/3. The number of students in the class is:
Answer (Detailed Solution Below)
Misread Based Question 4 Detailed Solution
Given:
Average with the marks were counted 45 = x
Average when the marks were counted 65 = x+
Concept used:
x = x =
Here n is the total number of students.
Let the sum of marks of rest of the students
Calculation:
x =
nx =
x +
nx +
Putting the value of nx from equation 1
n = 60
∴ The number of students is 60.
Alternate Method
A student‘s marks were wrongly entered as 65 instead of 45, so 20 marks extra were distributed among students.
Due to this, the average marks for the class got increased by 1/3, so the number of students in the class = 20 × 3 = 60
Misread Based Question 5:
While finding the average marks of a class, Vikas's marks were wrongly entered as 98 in place of 89. Due to this error, the average marks of the class were 0.25 more than the actual average. What is the number of students in the class?
Answer (Detailed Solution Below)
Misread Based Question 5 Detailed Solution
Given:
Vikas's wrongly entered marks = 98
Vikas's actual marks = 89
Average marks = Actual Average + 0.25
Concept used:
Let the number of students in the class be x
If marks entered are 98 in place of 89, the increase in marks will be: 98 - 89 = 9.
Thus, the average marks are increased by
Calculation:
Increase in average marks:
x =
x = 36
∴ The total number of students in the class is 36.
Top Misread Based MCQ Objective Questions
The average of 36 numbers was found to be 45. Later, it was detected that 84 was misread as 48. Find the correct average of the given numbers.
Answer (Detailed Solution Below)
Misread Based Question 6 Detailed Solution
Download Solution PDFGiven,
The average of 36 observations = 45
Formula:
Average = sum of all observations/Total number of all observations
Calculation:
The average of 36 observations = 36
Sum of 36 observations = 36 × 45 = 1620
Correct sum of 36 observations = 1620 - 48 + 84
= 1620 + 36 = 1656
The correct mean of 36 observations = 1656/36 = 46
The correct mean of 36 observations is 46
The average of the marks of 25 students in a class, in an examination was calculated to be 19. Later, the teacher realized that the marks of two students were taken as 18 and 19 respectively, instead of 14 and 15. Find the new actual average marks of the class.
Answer (Detailed Solution Below)
Misread Based Question 7 Detailed Solution
Download Solution PDFGiven:
The average of the marks of 25 students in a class, in an examination was calculated to be 19.
Wrong marks are 18 and 19
Correct marks are 14 and 15
Concept used:
Average = Sum of elements/Number of elements
Calculation:
Total marks of 25 students with wrong numbers = 25 × 19
⇒ 475
Correct total = 475 - (18 + 19) + 14 + 15
⇒ 475 - 37 + 29
⇒ 467
So, new average = 467/25
⇒ 18.68
∴ The new actual average mark of the class is 18.68.
While finding the average marks of a class, Vikas's marks were wrongly entered as 98 in place of 89. Due to this error, the average marks of the class were 0.25 more than the actual average. What is the number of students in the class?
Answer (Detailed Solution Below)
Misread Based Question 8 Detailed Solution
Download Solution PDFGiven:
Vikas's wrongly entered marks = 98
Vikas's actual marks = 89
Average marks = Actual Average + 0.25
Concept used:
Let the number of students in the class be x
If marks entered are 98 in place of 89, the increase in marks will be: 98 - 89 = 9.
Thus, the average marks are increased by
Calculation:
Increase in average marks:
x =
x = 36
∴ The total number of students in the class is 36.
The average weight of a team of 20 people was calculated to be 59.8 kg and it was later discovered that one weight was misread as 68 kg instead of 77 kg. The correct average weight is:
Answer (Detailed Solution Below)
Misread Based Question 9 Detailed Solution
Download Solution PDFGiven:
The average weight of 20 people = 59.8 kg
Formula used:
Average weight = total weight of people of a group/number of people in group
Calculation:
Correct average weight = {(59.8 × 20) - 68 + 77}/20
⇒ {1196 + 9}/20
⇒ 1205/20 = 60.25 kg
∴ The correct answer is 60.25 kg.
A student‘s marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class got increased by 1/3. The number of students in the class is:
Answer (Detailed Solution Below)
Misread Based Question 10 Detailed Solution
Download Solution PDFGiven:
Average with the marks were counted 45 = x
Average when the marks were counted 65 = x+
Concept used:
x = x =
Here n is the total number of students.
Let the sum of marks of rest of the students
Calculation:
x =
nx =
x +
nx +
Putting the value of nx from equation 1
n = 60
∴ The number of students is 60.
Alternate Method
A student‘s marks were wrongly entered as 65 instead of 45, so 20 marks extra were distributed among students.
Due to this, the average marks for the class got increased by 1/3, so the number of students in the class = 20 × 3 = 60
In a police battalion of 600 police, the average height is 150 cm. Later it is discovered that for x policemen heights are copied wrongly as 160 cm instead of 190 cm. By taking the correct heights, the average is increased to 155 cm. Then x =
Answer (Detailed Solution Below)
Misread Based Question 11 Detailed Solution
Download Solution PDFGiven:
Number of police = 600
Initial average height = 150 cm
Corrected average height = 155 cm
Height wrongly recorded for x policemen = 160 cm
Actual height of x policemen = 190 cm
Formula used:
New total height = Corrected average × Total number of police
Wrong total height = Initial average × Total number of police
Difference = Change caused by x policemen
Change caused by x policemen = x × (Actual height - Wrongly recorded height)
Calculation:
New total height = 155 × 600 = 93000
Wrong total height = 150 × 600 = 90000
⇒ Difference = New total height - Wrong total height
⇒ Difference = 93000 - 90000 = 3000
⇒ Change caused by x policemen = x × (190 - 160)
⇒ 3000 = x × 30
⇒ x = 100
∴ The correct answer is option (2).
Misread Based Question 12:
The average of 36 numbers was found to be 45. Later, it was detected that 84 was misread as 48. Find the correct average of the given numbers.
Answer (Detailed Solution Below)
Misread Based Question 12 Detailed Solution
Given,
The average of 36 observations = 45
Formula:
Average = sum of all observations/Total number of all observations
Calculation:
The average of 36 observations = 36
Sum of 36 observations = 36 × 45 = 1620
Correct sum of 36 observations = 1620 - 48 + 84
= 1620 + 36 = 1656
The correct mean of 36 observations = 1656/36 = 46
The correct mean of 36 observations is 46
Misread Based Question 13:
The average of the marks of 25 students in a class, in an examination was calculated to be 19. Later, the teacher realized that the marks of two students were taken as 18 and 19 respectively, instead of 14 and 15. Find the new actual average marks of the class.
Answer (Detailed Solution Below)
Misread Based Question 13 Detailed Solution
Given:
The average of the marks of 25 students in a class, in an examination was calculated to be 19.
Wrong marks are 18 and 19
Correct marks are 14 and 15
Concept used:
Average = Sum of elements/Number of elements
Calculation:
Total marks of 25 students with wrong numbers = 25 × 19
⇒ 475
Correct total = 475 - (18 + 19) + 14 + 15
⇒ 475 - 37 + 29
⇒ 467
So, new average = 467/25
⇒ 18.68
∴ The new actual average mark of the class is 18.68.
Misread Based Question 14:
While finding the average marks of a class, Vikas's marks were wrongly entered as 98 in place of 89. Due to this error, the average marks of the class were 0.25 more than the actual average. What is the number of students in the class?
Answer (Detailed Solution Below)
Misread Based Question 14 Detailed Solution
Given:
Vikas's wrongly entered marks = 98
Vikas's actual marks = 89
Average marks = Actual Average + 0.25
Concept used:
Let the number of students in the class be x
If marks entered are 98 in place of 89, the increase in marks will be: 98 - 89 = 9.
Thus, the average marks are increased by
Calculation:
Increase in average marks:
x =
x = 36
∴ The total number of students in the class is 36.
Misread Based Question 15:
The average weight of a team of 20 people was calculated to be 59.8 kg and it was later discovered that one weight was misread as 68 kg instead of 77 kg. The correct average weight is:
Answer (Detailed Solution Below)
Misread Based Question 15 Detailed Solution
Given:
The average weight of 20 people = 59.8 kg
Formula used:
Average weight = total weight of people of a group/number of people in group
Calculation:
Correct average weight = {(59.8 × 20) - 68 + 77}/20
⇒ {1196 + 9}/20
⇒ 1205/20 = 60.25 kg
∴ The correct answer is 60.25 kg.