Part 04 Logarithm लघुगणक, Mathematical Tools, 11th Physics

In a class, 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics of these 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find: (i) The total number of students.

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:

There are five books on Mathematics and 6 books on Physics in a book shop.In how many ways can a student buy: (i) a Mathematics book and a Physics book (ii) either a Mathematics book or a Physics book?

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.

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?