Multiple choice

In an examination, $40\%$ of the candidates wrote their answer in Hindi and the others in English. The average marks of the candidates written in Hindi is $74$ and the average marks of the candidates written in English is $77$. What is the average marks of all the candidates?

  1. $75.5$
  2. $75.8$
  3. $76.0$
  4. $76.8$
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B Correct answer
Explanation

The average is the weighted mean of the two groups. With 40% in Hindi (avg 74) and 60% in English (avg 77), the calculation is (0.4 * 74) + (0.6 * 77) = 29.6 + 46.2 = 75.8.

AI explanation

Assume there are 10 candidates in total, so 4 wrote in Hindi and 6 wrote in English. The total marks are (4 multiplied by 74) plus (6 multiplied by 77), which equals 296 plus 462 to give 758. Divide this total by 10 candidates to find the overall average, making the result 75.8.

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