out of 100 students in a final examination of class 10, 70 passed in mathematics, 60 passed in science and 10 failed in both subject If 10 students absent find the number of students who passed both subject by using venn diagram
50
To find the number of students who passed both subjects using a Venn diagram, you can follow these steps:
1. Create a Venn diagram with two overlapping circles, one representing mathematics and the other representing science.
2. Label the area where the circles overlap as the students who passed both subjects.
3. According to the given information, 70 students passed in mathematics and 60 students passed in science.
4. Since 10 students failed in both subjects, you can subtract this number from the total number of students to get the number of students who passed at least one subject. In this case, the total number of students is 100, so 100 - 10 = 90 students passed at least one subject.
5. Now, you can start filling in the Venn diagram. Write 70 in the mathematics circle and 60 in the science circle.
6. As we know that 10 students passed both subjects, write this number in the overlapping area of the circles.
7. Next, subtract the number of students who passed one subject from the total number of students who passed at least one subject to find the number of students who passed both subjects. In this case, 90 - 70 = 20.
Therefore, the number of students who passed both mathematics and science is 20.