In a class X examination of a school, 120 students appeared. 60 students get above
80% in Maths while 80 students got above 80% in Science. 30 students got above
80% in both the subjects. Representing this information with Venn diagrams, find
out the following:
(1) Number of students who got above 80% in Mathematics only.
(ii) Number of students who got above 80% in Science only.
(iii) Number of students who got less than 80% marks in Science and Mathematics.
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Answer:
Student Passed in English =80%
Students failed in English=100%−80%=20%
Students passed in Maths =70%
Students failed in Maths =100%−70%=30%
Students failed in both =10%
Total failed students = Failed in English + failed in Math − Common
Total fail students =20%+30%−10%=40%
If 40% failed then 60% will be passed.
Let total students be x.
Hence, 60% of x=144
⇒10060×x=144
⇒x=60144×100
⇒x=240
Therefore, total students is 240.
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