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AP EAMCET20225 Jul 2022Morning ShiftMathematicsSets and RelationsActual

205 students take an examination of whom 105 pass in English, 70 students pass in Mathematics and 30 students pass in both. How many students fail in both subjects?

Options

  1. A60
  2. B145
  3. C175
  4. D30

Correct answer

A. 60

Step-by-step solution

Total number of students =205 Number of students passed in Math =70 Number of students passed in English =105 and number of students pass in both =30 Now, Number of students passed in Math or English. = Number of students passed in Math + Number of student passed in English - Number of students passed in both =70+105-30=145 So, number of students fail in both subjects = Total number of students - Students passed in Math or English =205-145=60

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