Chemistry

A question bank has questions of Physics and Chemistry. The number of questions of Chemistry are 3.5 times the number of questions of Physics. If there are 90 questions in the question , bank find the number of questions of Physics and Chemistry in the question bank .

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 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 ?

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.

In a survey of 200 students of a school, it was found that 120 study Mathematics, 90 study Physics and 70 study Chemistry , 40 study Mathematics and Physics, 30 study Physics and Chemistry, 50 study Chemistry and Mathematics and 20 none of these subjects. Find the number of students who study all the three subjects.

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 how many ways can 5 professors of physics and 3 professors of chemistry be seated on a round table if (i) Professor A.K. Goel and Dr. Agrawal are not adjacent ? (ii) No professors of chemistry are adjacent ?