Excluded Based MCQ Quiz - Objective Question with Answer for Excluded Based - Download Free PDF
Last updated on Mar 20, 2025
Latest Excluded Based MCQ Objective Questions
Excluded Based Question 1:
The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number.
Answer (Detailed Solution Below)
Excluded Based Question 1 Detailed Solution
Given :
Average of 8 numbers is 18.
One of the numbers is excluded, the average becomes 20.
Formula Used :
Average = Sum of all observations/Number of observations
Calculation :
Sum of 8 numbers = 18 × 8 = 144
Sum of 7 numbers = 20 × 7 = 140
Excluded number = 144 - 140 = 4
∴ The correct answer is 4.
Top Excluded Based MCQ Objective Questions
The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number.
Answer (Detailed Solution Below)
Excluded Based Question 2 Detailed Solution
Download Solution PDFGiven :
Average of 8 numbers is 18.
One of the numbers is excluded, the average becomes 20.
Formula Used :
Average = Sum of all observations/Number of observations
Calculation :
Sum of 8 numbers = 18 × 8 = 144
Sum of 7 numbers = 20 × 7 = 140
Excluded number = 144 - 140 = 4
∴ The correct answer is 4.
Excluded Based Question 3:
The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number.
Answer (Detailed Solution Below)
Excluded Based Question 3 Detailed Solution
Given :
Average of 8 numbers is 18.
One of the numbers is excluded, the average becomes 20.
Formula Used :
Average = Sum of all observations/Number of observations
Calculation :
Sum of 8 numbers = 18 × 8 = 144
Sum of 7 numbers = 20 × 7 = 140
Excluded number = 144 - 140 = 4
∴ The correct answer is 4.
Excluded Based Question 4:
The average age of 35 students in a group is 15 years. When the teacher's age is included, the average age of the group increases by 1.25 years. What is the teacher's age (in years)?
Answer (Detailed Solution Below)
Excluded Based Question 4 Detailed Solution
Given:
Average age of 35 students = 15 years
Number of students = 35
Average age increases by = 1.25 years
Formula used:
New average = (Sum of ages of group + Teacher's age) ÷ Total members
Sum of ages of group = Average × Number of members
Calculation:
Sum of ages of 35 students = 15 × 35 = 525
New average = 15 + 1.25 = 16.25
New total members = 35 + 1 = 36
New total age = New average × Total members
⇒ New total age = 16.25 × 36 = 585
Teacher's age = New total age - Sum of ages of students
⇒ Teacher's age = 585 - 525 = 60
∴ The correct answer is option (2).
Excluded Based Question 5:
The average of 50 numbers is 38. If two numbers 45 and 55 are excluded, then what will be the average of the remaining numbers ?
Answer (Detailed Solution Below)
Excluded Based Question 5 Detailed Solution
Given:
The average of 50 numbers = 38
Two numbers excluded = 45 and 55
Formula used:
New Average = \(\dfrac{\text{Total Sum of Remaining Numbers}}{\text{Total Remaining Numbers}}\)
Calculation:
Total Sum of 50 numbers = 50 × 38 = 1900
Sum of excluded numbers = 45 + 55 = 100
Total Sum of Remaining Numbers = 1900 - 100 = 1800
Total Remaining Numbers = 50 - 2 = 48
New Average = \(\dfrac{1800}{48}\)
⇒ New Average = 37.5
∴ The correct answer is option (2).