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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
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