Multiple choice

The average score of 11 students is 50. If the average of first 6 students is 49 and that of the last 6 is 52, then find the score of the 6th student.

  1. 50.5

  2. 46

  3. 50

  4. 56

  5. None of these
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D Correct answer
Explanation

Sum of 11 = 11 * 50 = 550. Sum of first 6 = 6 * 49 = 294. Sum of last 6 = 6 * 52 = 312. The 6th student is counted twice: (294 + 312) - 550 = 606 - 550 = 56.

AI explanation

The total score of all 11 students is 11 times 50, which is 550. The sum of the first 6 students is 6 times 49, equaling 294, and the sum of the last 6 students is 6 times 52, equaling 312. Adding these two sums gives 606, which counts every student once except the 6th student who is counted twice. Subtracting the overall sum of 550 from 606 leaves the score of the 6th student as 56.

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