[Solved] In a class, every student took a test in 3 subjects. There are 37 students who passed in physics, 4 of whom passed only in physics and math.

In a class, every student took a test in 3 subjects. There are 37 students who passed in physics, 4 of whom passed only in physics and math.

 

Solution : 

We know there are 37 students who passed in Physics.

Among them, 4 students passed only in Physics and Maths.

So, the number of students who passed in Physics only is $37-4=33$

37−4=33.

Also, since every student took tests in 3 subjects, there are 37 students in total.

Therefore, the number of students who passed in Maths only is also $37-4=33$.

 

P: 37 students passed in Physics

P ∩ M: 4 students passed in both Physics and Maths

M: 33 students passed only in Maths
 

That's it! We've quickly determined the number of students who passed in Physics only and Maths only without explicitly drawing a Venn diagram.

 

Thank You !