Question : Directions: In a class, 80 students study both Computer Science and Electronics. While 100 students study Computer Science. 120 students study Electronics. How many of them study Computer Science only?
Option 1: 100
Option 2: 40
Option 3: 180
Option 4: 20
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Correct Answer: 20
Solution : As per the instructions, the Venn diagram will be –
In the above figure, there are 3 regions, namely, a, b, and c.
a represents the students who study only Electronics.
c represents the students who study only Computer Science.
b represents the students who study both Electronics and Computer Science.
As per the question –
b = 80; a + b = 120; b + c = 100
a = 120 – 80 = 40; c = 100 – 80 = 20
So, the number of students who study only Computer Science is 20. Hence, the fourth option is correct.
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