Average of 15 numbers is 53. A number if removed, the average of 14 numbers becomes 55. Which number is removed?

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OSSC Junior Stenographer, Junior Typist (Prelims) Official Paper (Held On: 09 Feb, 2025)
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  1. 23
  2. 24
  3. 25
  4. 26

Answer (Detailed Solution Below)

Option 3 : 25
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Detailed Solution

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Given:

Average of 15 numbers = 53

After removing one number, the average of 14 numbers = 55

Formula Used:

Sum of all numbers = Average × Total numbers

Removed number = Sum of 15 numbers - Sum of 14 numbers

Calculation:

Sum of 15 numbers = 53 × 15

⇒ Sum of 15 numbers = 795

Sum of 14 numbers = 55 × 14

⇒ Sum of 14 numbers = 770

Removed number = 795 - 770

⇒ Removed number = 25

The removed number is 25.

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