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


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