Question

In a class of 36 students, everyone does biology, physics or both. If 9 do both subjects and 12 do physics but not biology, how many do biology but not physics.

Answer 1

22 students study physics.

p+b=22 ————————————-(1)

19 study chemistry.

b+c=19 ————————————(2)

Total number of students in the class are 30.

p+b+c=30———————————(3)

Solve (1), (2) and (3) and you will get:

p=11, b=11, c=8

Hence, the number of students studying both physics and chemistry will be:

b=11

i.e 11 students are studying both physics as well as chemistry.



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