The average of 20 numbers is 12. The average of the first 12 is 11 and that of the next 7 is 10. The last number is
A. 40 B. 38 C. 48 D. 50
Correct Answer: B
Explanation
To find the last number, follow these steps:
1. Calculate the Total Sum of the 20 Numbers: - Average of 20 numbers = 12 - Total sum = Average × Number of numbers - Total sum = 12 × 20 = 240
2. Calculate the Total Sum of the First 12 Numbers: - Average of the first 12 numbers = 11 - Total sum of the first 12 numbers = Average × Number of numbers - Total sum of the first 12 numbers = 11 × 12 = 132
3. Calculate the Total Sum of the Next 7 Numbers: - Average of the next 7 numbers = 10 - Total sum of the next 7 numbers = Average × Number of numbers - Total sum of the next 7 numbers = 10 × 7 = 70
4. Calculate the Total Sum of the Last Number: - Total sum of all 20 numbers = Sum of first 12 numbers + Sum of next 7 numbers + Last number - Last number = Total sum of all 20 numbers - (Sum of first 12 numbers + Sum of next 7 numbers) - Last number = 240 - (132 + 70) - Last number = 240 - 202 - Last number = 38