A Director of an Hospital must constitute a committee of five persons by selecting two Doctors from A, B and C and three Engineers from D, E, F, G and H. It is given that both B and H together, both G and F together and both E and H together cannot be the members of the committee. If C is not selected in the committee, then any of the following could be in the committee except
(1) D
(2) H
(3) E
(4) G
EXPLANATION
Let’s consider the given conditions:
- The committee must have two doctors from A, B, and C.
- The committee must have three engineers from D, E, F, G, and H.
Now, considering the restrictions:
- Both B and H together cannot be in the committee.
- Both G and F together cannot be in the committee.
- Both E and H together cannot be in the committee.
Let’s analyze the options:
(1) D: D can be in the committee because there are no restrictions on D.
(2) H: H cannot be in the committee because both B and H together cannot be in the committee.
(3) E: E cannot be in the committee because both E and H together cannot be in the committee.
(4) G: G cannot be in the committee because both G and F together cannot be in the committee.
So, the correct answer is (2) H. H cannot be in the committee due to the restriction mentioned.
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