In a class of 180 students 95 passed in History, 38 failed in Geography. 73 passed in both.How many students failed in at least one subject
Answers
Given : In a class of 180 students
95 passed in History,
38 failed in Geography.
73 passed in both.
To Find : How many students failed in at least one subject
Solution:
Total Students = 180
Passed in history = 95 => Failed in history = 180 - 95 = 85
failed in Geography. = 38
=> Passed in geography = 180 - 38 = 142
passed in both. = 73
Total = Passed in history + Passed in geography - passed in both. + passed in None
=> 180 = 95 + 142 - 73 + passed in None
=> passed in None = 16
=> Failed in both = 16
students failed in at least one subject = Failed in history + failed in Geography. - Failed in both
= 85 + 38 - 16
= 107
Another method :
students failed in at least one subject = Total - passed in both
=> students failed in at least one subject = 180 - 73
=> students failed in at least one subject = 107
107 students failed in at least one subject
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