Question

There are 16 teachers who can teach Thermodynamics (TD), 11 who can teach Electrical Sciences (ES), and 5 who can teach both TD and Engineering Mechanics (EM). There are a total of 40 teachers. 6 cannot teach any of the three subjects, i.e. EM, ES or TD. 6 can teach only ES. 4 can teach all three subjects, i.e. EM, ES and TD. 4 can teach ES and TD. How many can teach both ES and EM but not TD?
1. 1
2. 2
3. 3
4. 4

Answer 1

Correct Answer - Option 1 : 1

Given that there are 11 ES teachers.
Of these, 6 are given to be able to teach only ES.
Therefore, 11 – 6 = 5 teachers have the possibility of fulfilling the given condition.
It is given that 4 can teach ES and TD.
Therefore, the number of persons able to teach ES and EM but not TD = 5 – 4 = 1.