The average of a set of ten numbers is 40 If a number is removed from the set then the average of th...........

Quantitative Aptitude (MTS) Average

The average of a set of ten numbers is 40. If a number is removed from the set, then the average of the remaining numbers

becomes 38. What was the number that was removed?

This questions was previously asked in

SSC MTS 20th July 2022 Shift-3

- The total sum of all ten numbers in the set is \(10 \times 40 = 400\).

- After removing one number, the sum of the remaining nine numbers is \(9 \times 38 = 342\).

- The number removed is the difference between the original sum and the new sum: \(400 - 342 = 58\).

- Option 4: 58 is the correct number that was removed.

- This matches the calculation.

- \(\textcolor{green}{\checkmark}\) Answer: 58

- Option 1: 42, Option 2: 54, and Option 3: 60 do not satisfy the sum conditions.

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