Multiple choice

The average score of 29 students is 69 and if the score of the topper is included, then the average score increases by 1. Find the score of the topper.

  1. 99

  2. 85

  3. 95

  4. 100

  5. None of these
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A Correct answer
Explanation

The total score of 29 students is 29 * 69 = 2001. Including the topper makes 30 students with an average of 70, so the new total is 30 * 70 = 2100. The topper's score is 2100 - 2001 = 99.

AI explanation

The initial total score for the 29 students is 29 * 69 = 2001. When the topper is included, the new average becomes 70 for 30 students, making the new total score 30 * 70 = 2100. The topper's score is the difference between the new total and the old total, which is 2100 - 2001 = 99.

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