Multiple choice

The Average marks obtained by 45 students in an examination is 12. If the average marks of passed students are 14 and that of failed students are 5, then find the number of students who passed the examination?

  1. 39

  2. 36

  3. 35

  4. 37

  5. None of these
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C Correct answer
Explanation

Let p be passed students, f be failed. Total students = p + f = 45. Total marks = 45 × 12 = 540. Also: 14p + 5f = 540. Substituting f = 45 - p: 14p + 5(45 - p) = 540. Simplifying: 14p + 225 - 5p = 540, so 9p = 315. Therefore p = 35 students passed.

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