In a class of 35 students, 17 have taken Mathematics , 10 have taken Mathematics but not Economics. Find the number of students who have taken Economics but not Mathematics , if the given that each student have taken either Mathematic or Economic or both.

In a class of 40 students 30 play cricket and 18 play hockey. If the students plays either circket or hockey find the number of students who paly Hockey only.

In a class of 60 students, 25 students play cricket and 20 students play tennis and 10 students play both the games, then the number of students who play neither is

In a class of 60 students, 25 students play cricket, 20 students play tennis, and 10 students play both the games, then the number of students who play neither is

In a college of 30 students fail in physics, 25 fail in mathematics and 10 fail in both. One student is chosen at random. The probability that she fails in physics, if she has failed in mathematics is

(i) Find the probability that a student obtained less than 20% in the mathematics test. (ii) Find the probability that a student obtained marks 60 or above.

A Class has 175 students .The following data shown the number of student : Physics 70 : Chemistry 40 : Mathematics 100 : Physics and Chemistry 23: Mathematics and Chemistry 28 Mathematics Physics and Chemistry 18 .How many students have offered Mathematics alone ?

In a class of 55 students, the number of students studying different subjects are 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. Find the number of students who have taken exactly one subject.