Excluded Based MCQ Quiz - Objective Question with Answer for Excluded Based - Download Free PDF

Last updated on Jun 27, 2025

Latest Excluded Based MCQ Objective Questions

Excluded Based Question 1:

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 ?

  1. 37
  2. 37.5
  3. 37.52
  4. 36.5

Answer (Detailed Solution Below)

Option 2 : 37.5

Excluded Based Question 1 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).

Excluded Based Question 2:

The average of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number. 

  1. 6
  2. 10
  3. 8
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4

Excluded Based Question 2 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. 

  1. 6
  2. 10
  3. 8
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4

Excluded Based Question 3 Detailed Solution

Download Solution PDF

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 of 8 numbers is 18. If one of the numbers is excluded, the average becomes 20. Find the excluded number. 

  1. 6
  2. 10
  3. 8
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4

Excluded Based Question 4 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 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 ?

  1. 37
  2. 37.5
  3. 37.52
  4. 36.5

Answer (Detailed Solution Below)

Option 2 : 37.5

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).

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