The average of 75 scores is 45 The average of the first 50 scores is 42 and that of the last 26 scor...........

Quantitative Aptitude (MTS) Average

The average of 75 scores is 45. The average of the first 50 scores is 42 and that of the last 26 scores is 52. What is the 50^th

score?

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SSC MTS 22nd October 2021 Shift-1

- The total score for 75 students with an average of 45 is \(75 \times 45 = 3375\).

- The total score for the first 50 students with an average of 42 is \(50 \times 42 = 2100\).

- The total for the last 26 students with an average of 52 is \(26 \times 52 = 1352\).

- The sum of the first 50 and last 26 scores is \(2100 + 1352 = 3452\).

- Since the total for all 75 scores is 3375, the 50th score must be \(3452 - 3375 = 77\).

Correct Answer: Option 4 — 77

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