If the average of 9 consecutive even numbers is 132 find the difference between the first and the last numbers.

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  1. 16
  2. 19
  3. 15
  4. 18

Answer (Detailed Solution Below)

Option 1 : 16
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Detailed Solution

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Given:

The average of 9 consecutive even numbers is 132.

Formula used:

Average of n consecutive even numbers = (First number + Last number) / 2

Calculation:

Average = 132

⇒ (First number + Last number) / 2 = 132

⇒ First number + Last number = 132 × 2

⇒ First number + Last number = 264

Since these are 9 consecutive even numbers, the difference between the first and the last number is 2 × (9 - 1).

⇒ Difference = 2 × 8

⇒ Difference = 16

∴ The correct answer is option 1.

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