Multiple choice

The average marks of a student in ten papers are $80$. If the highest and the lowest score are not considered the average is $81$. If his highest score is $92$, what is the lowest score?

  1. $55$
  2. $60$
  3. $62$
  4. $61$
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B Correct answer
Explanation

Total marks for 10 papers = 10 * 80 = 800. Sum of 8 papers (excluding highest and lowest) = 8 * 81 = 648. Sum of highest and lowest = 800 - 648 = 152. Given highest = 92, lowest = 152 - 92 = 60.

AI explanation

By the formula for the sum of terms, the total marks in ten papers are 10 multiplied by 80, giving 800. Excluding the highest and lowest scores leaves 8 papers, so their sum is 8 multiplied by 81, which equals 648. The sum of the highest and lowest scores is therefore 800 minus 648, or 152. Subtracting the highest score of 92 from 152 gives the lowest score of 60.

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