In a school there are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics and 4 teach both physics and mathematics. How many teach 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?

There are 12 teachers in a school who can teach Maths or Physics. Out of these, 6 teach Maths and 4 teach Physics and Maths both. Find how many teachers teach Physics ?

20 teachers of a school either teach mathematics or physics 12 of them mathematics white 4 teach both the subjects . The number of teachers teching physics only ,is

28 teachers of a school either teach mathematics or physics 20 of them mathematics white 4 teach both the subjects . The number of teachers teching physics only ,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

In a class of 55 students the number of students studying subjects are , 23 iin Mathematics 24.in physics 19in chemisty 12 in Mathematics and physics ,9 in Mathematics and chemistry ,7 in physics and chemistry and 4 in all the three subjects. the number of students who have taken ecactly one subject is

In a class of 175 students the following data shows the number of students opting one or more subjects Mathematics 100, physics 70, chemistry 28, physics and Chemistry 23, mathematics and chemistry 28 , mathematics and physics 30 , mathematics physics and chemistry 18. how many students have offered mathematics alone ?

From 50 students taking examinations in mathematics, physics and chemistry,37 passed mathematics, 24 physics and 43 chemistry. At most 19 passed mathematics and physics, at most 29 mathematics and chemistry and at most 20 physics and chemistry. Find the largest possible number that could have passed all three exams.

From 50 students taking examinations in mathematics, physics and chemistry,37 passed mathematics, 24 physics and 43 chemistry. At most 19 passed mathematics and physics, at most 29 mathematics and chemistry and at most 20 physics and chemistry. Find the largest possible number that could have passed all three exams.

In an university, out of 120 students, 15 opted mathematics only, 16 opted statistics only, 9 opted for physics only and 45 opted physics and mathematics, 30 opted physics and statistics, 8 opted mathematics and statistics and 80 opted physics. By drawin Venn diagram, find the number of students who (i) opted mathematics (ii) opted statistics (iii) did not opted any of the above three subjects.