1
Question
500 students appeared in an exam. The exam comprises three subjects: English, science, and mathematics.
The Venn diagram below represents the number of students who passed the exam.
Find the number of students who failed in science or mathematics.
500 students appeared in an exam. The exam comprises three subjects: English, science, and mathematics.
The Venn diagram below represents the number of students who passed the exam.Find the number of students who failed in science or mathematics.
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Solution
The correct option is B 120
Let us write the notations as:
E = English
M = Mathematics
S = Science
The number of students who failed in S or M will be same as the number of students who passed only in E.
or
Total students who failed in S or M
= Total students – Total students who passed in S or M
Total students who passed in S or M
= 95 + 27 + 35 + 63 + 105 + 55
= 380
Thus,
Total students who failed in S or M
= 500 – 380 = 120
Thus, 120 students failed in either science or mathematics.
Let us write the notations as:
E = English
M = Mathematics
S = Science
The number of students who failed in S or M will be same as the number of students who passed only in E.
or
Total students who failed in S or M
= Total students – Total students who passed in S or M
Total students who passed in S or M
= 95 + 27 + 35 + 63 + 105 + 55
= 380
Thus,
Total students who failed in S or M
= 500 – 380 = 120
Thus, 120 students failed in either science or mathematics.
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