There are 102 students in a class. In an examination, 50 of them failed in Mathematics, 45 failed in Physics and 40 failed in Chemistry, 32 failed in exactly two of these three subjects. Only one student passed in all the three subjects. Find the number of students failing in all the three subjects.

Among the number of students in a class 25 read physics.30 read chemistry and 20 read mathematics.If 12 read both physics and chemistry,15 read chemistry and mathematics,18 read physics and mathematics and 10 read all the three subjects find the number of students in the class.

In a class 18 students offered Physics, 23 offered Chemistry and 24 offered Mathematics. Of them, 13 offered both Chemistry and Mathematics, 12 offered both Physics and Chemistry, 11 offered both Mathematics and Physics and 6 offered all three. Find the number of students in the class.

2000 examinees appeared in an examination in two subjects namely Mathematics and English. 100 examinees failed in both, 1100 examinees were successful in Mathematics but failed in English. If the number of examinees successful in mathematics were 1500, then find the number of examinees which were successful only in English.

Among a group of 90 students,40 like mathematics and 60 like chemistry.If 6 students like neither,find how many like both the subjects?

In a class of 50 students,every student plays football or cricket.If 32 of them play football and 35 play cricket,then find the number of students who play both the games and only football.

Out of 65 students of class X, 40 are boys and 25 are girls.The class teacher wrote the serial numbers of all the students on separate cards and kept in a box in order to select a captain of the class. Then one of the cards is randomly taken out from the box. Find the probabilities of the class-captain being (i) a boy

Out of 65 students of class X, 40 are boys and 25 are girls.The class teacher wrote the serial numbers of all the students or separate cards and kept in a box in order to select a captain of the class. Then one of the cards is randomly taken out from the box. Find the probabilities of the class-captain being (ii) a girl.