Mathematics Vs Physics

There are 11 teachers who teach Mathematics or Physics in a school, Of these, 7 teach Mathematics and 3 teach both Mathematics and Physics. How many teach Physics?

In a school there are 30 teachers who teach Mathematics or Physics. Of these teachers, 20 teach. Mathematics and 15 teach Physics, 5 teach both Mathematics and Physics. The number of teaches teaching only Mathematics is:

If in a class there are 200 students in which 120 take Mathematics, 90 take Physics, 60 take Chemistry, 50 take Mathematics & Physics, 50 take Mathematics & Chemistry, 43 take Physics & Chemistry and 38 take Mathematics Physics & Chemistry, then the number of students who hace taken exactly one subject is

A class has 175 students. The following data shows the number of students obtaining one or more subjects : Mathematics 100 , Physics 70 , Chemistry 40 , Mathematics and Physics 30 , Mathematics and Chemistry 28 , Physics and Chemistry 23 , Mathematics & Physics & Chemistry 18 . How many students have offered Mathematics alone ?

A class has 172 students. The following data shows the number of students opting one or more subjects: Mathematics 125, Physics 95, Chemistry 65 Mathematics and Physics 55 Mathematics and Chemistry 53 Physics and Chemistry 48 Mathematics, Physics and Chemistry 43 The number of students who opted only Physics is

In a competitive examination, 250 students have registered. Out of these, 50 students have registered for Physics, for Mathematics and 35 students for both Mathematics and Physics. What is the number of students who have registered neither for Physics nor for Mathematics?

In a school 25% students are failed in Mathematics, 15% in Physics and 5% students fail in both Mathematics and Physics. A student is selected at random. (i) If he is fail in Physics, find the probability that he is fail in Mathematics. (ii) If he is fail in Mathematics, find the probability that he in fail in Physics. (iii) Find the probability that he is fail either in Mathematics or in Physics.