The average of a set of 20 numbers is P If one of the numbers from the set is replaced with 58 then ...........

Quantitative Aptitude (MTS) Average

The average of a set of 20 numbers is P. If one of the numbers from the set is replaced with 58, then the average becomes (P -

2). What is the value of the number that is replaced?

This questions was previously asked in

SSC MTS 6th July 2022 Shift-1

104

- Let the sum of the original set of numbers be 20P.

- Since the average is P for 20 numbers, the total sum = 20 * P.

- When a number is replaced with 58, the new average is (P - 2).

- The new sum of the numbers = 20 * (P - 2) = 20P - 40.

- Determine the value of the replaced number.

- Set the equations: Original sum - Replaced number + 58 = New sum.

- 20P - x + 58 = 20P - 40.

- Solve for x: x = 98.

- Evaluate the options.

- 98 matches our solution.

- 94, 60, 104 do not fit into the equation correctly.

- Correct Answer: Option 1 - 98

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