Basic maths for physics class 11

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 ?

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In a school, students must take at least one of these subjects: Maths, Physics or Chemistry. In a group of 50 students, 7 take all three subjects. 9 take Physics and Chemistry only, 8 take Maths and Physics only and 5 take Maths and Chemistry only. Of these 50 students, x take Maths only, x take Physics only and x + 3 take Chemistry only. Draw Venn diagram, find x, and hence find the number taking Maths.

In a survey of xavirs's school of Bhubaneswar of 200 students, It was found that 120 study math, 90 study physics, 70 study shemistry, 40 study math and physics, 30 study physics and chemistry, 50 study chemistry and math and 20 study none of these subjects then the number of students study all the subjects is :

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