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The average of first 20 multiples of 12 ...

The average of first 20 multiples of 12 is :
A. 124
B. 120
C. 126
D. 130

A

A

B

B

C

C

D

D

Text Solution

AI Generated Solution

The correct Answer is:
To find the average of the first 20 multiples of 12, we can follow these steps: ### Step 1: Identify the first and the 20th multiples of 12. - The first multiple of 12 is: \[ 12 \times 1 = 12 \] - The 20th multiple of 12 is: \[ 12 \times 20 = 240 \] ### Step 2: Calculate the sum of the first and the 20th multiples. - Now, we will add the first and the 20th multiples: \[ 12 + 240 = 252 \] ### Step 3: Calculate the average. - The average of the first 20 multiples can be found using the formula for the average of two numbers: \[ \text{Average} = \frac{\text{Sum of first and last multiple}}{\text{Number of multiples}} \] - Here, the number of multiples is 20. Therefore: \[ \text{Average} = \frac{252}{2} = 126 \] ### Conclusion - The average of the first 20 multiples of 12 is **126**. ### Answer - The correct option is **C. 126**.
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