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80% of Students in a Class Took Statistics and 45% Took Mathematics. If Each Student Took Statistics Or Mathematics and 40 Took Both, the Total Number of Students in the Class Was: - Mathematics

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MCQ

80% of students in a class took Statistics and 45% took Mathematics. If each student took Statistics or Mathematics and 40 took both, the total number of students in the class was: 

Options

  • 160

  • 180

  • 200

  • 225

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Solution

160

Explanation:

Let the total number of student in the class is 100

Number of students took statistics = 80

Number of students took Mathematics = 45

Now, the number of students took both subjects
= 80 + 45 − 100 = 25

∴ When 25 students took both subjects,
then the total number of students = 100

∴ When 40 students took both subjects, then

total number of students`=100/25xx40=160`

Concept: Probability (Entrance Exam)
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