The average of 21 consecutive natural numbers is 53 What is the value of the smallest of these 21 nu...........

Quantitative Aptitude (MTS) Average

The average of 21 consecutive natural numbers is 53. What is the value of the smallest of these 21 numbers?

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SSC MTS 5th July 2022 Shift-1

- The average of 21 consecutive natural numbers is given as 53.

- The formula for the average of consecutive numbers: Average = (First number + Last number) / 2.

- If the first number is 'x', then the last number is 'x + 20'.

- The average of these numbers can also be calculated as: (x + (x + 20)) / 2 = 53.

- Simplifying: (2x + 20) / 2 = 53.

- Multiply both sides by 2: 2x + 20 = 106.

- Subtract 20 from both sides: 2x = 86.

- Divide by 2: x = 43.

The smallest number is 43.

- Option 3: 43 is correct.

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