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In an examination, \( \Large 45 ^{\circ} \) students failed in Science and \( \Large 56 ^{\circ} \) failed in Mathematics if \( \Large 16 ^{\circ} \) failed in both Science and Mathematics the percentage of those who passed in both the subject is.

A) 15
B) 31
C) 49
D) 42

Correct Answer:

A) 15

Description for Correct answer:

Let the number of students appeared for the examination be 100.

Let the circle A represent who failed 1n Science and

B represent the students who failed in Mathematics respectively.

Number of students failed in Science only = 45 - 16 = 29.

Number of students failed in Mathematics only = 56 - 16 = 40

Total No of students failed = Number of students failed in science + Number of students failed in Mathematics + failed in both.

= 29 + 40 + 16

Number of students passed = 100 - 85 = 15

Part of solved Set theory questions and answers : >> Elementary Mathematics >> Set theory

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Similar Questions

1). In a class 42 students passed in Physics, 50 students passed in Chemistry and 50 students passed in Mathematics 26 students were passed in Physics and Chemistry, 24 students passed in Chemistry and Mathematics and 23 students were passed in Physics and Mathematics. If 11 students were passed in all the subjects, find the number of students appeared for the examination.

A). 80

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