Multiple choice

The average marks of a student in 6 subjects is 42. Out of these, the highest marks are 6 more than the next in value. If these two subjects are eliminated, the average marks of the remaining subjects is 48. What is highest score?

  1. 28

  2. 30

  3. 31

  4. 33
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D Correct answer
Explanation

Total marks for 6 subjects = 6 * 42 = 252. Let the two highest marks be x and x-6. Sum of remaining 4 subjects = 252 - (2x - 6) = 258 - 2x. Average of remaining 4 = (258 - 2x) / 4 = 48. 258 - 2x = 192. 2x = 66. x = 33.

AI explanation

The total marks for all 6 subjects is 6 times 42, which is 252. The total marks for the remaining 4 subjects after eliminating the top two is 4 times 48, which equals 192. The sum of the highest and second highest marks is therefore 252 minus 192, giving 60. Let the second highest marks be x; then the highest marks are x + 6, and their sum is x + (x + 6) = 60, meaning 2x = 54 and x = 27. The highest score is 27 + 6, which is 33.

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