Question

Directions:- Study the following information carefully to answer the question given below.

Two teams of five each must be selected from a group of ten persons viz. A, B, C, D, E, F, G, H, I, J of which A, E and G are doctors. D, H and J are lawyers; B and I are engineers. C and F are managers. It is also known that:-
(i) every team must contain persons of each of the four professions.
(ii) C and H cannot be selected together.
(iii) I cannot be selected into a team with two lawyers.
(iv) J cannot be on a team with two doctors. (v) A and D cannot be selected together.

If F and G are in the same team, which among the following statement is true?

• A. B and H will be in the other team.
• B. E and I must be in the same team
• C. H must be in the same team but B must be in the other team.
• D. C must be in the other team but D must be in the same team.
• E. None of these

Answer 1

The correct option is C H must be in the same team but B must be in the other team.

On the basis of the given information, we can tabulate that:-
$\begin{array}{ccc}A& E& G\Rightarrow Doctors\\ D& H& J\Rightarrow Lawyers\\ B& I& \Rightarrow Engineers\\ C& F& \Rightarrow Managers\end{array}$
It is also inferred that - Every team must have persons of each of the professions. Therefore, one team will have a manager, an engineer, two lawyers and a doctor and the other team will have a manager, an engineer, a lawyer and two doctors, such as:-
$\begin{array}{ccc}Iteam& IIteam& Profession\\ A& E,G& Doctor\\ H,J& D& Lawyer\\ F& C& Manager\end{array}$
Now we can answer the question on the basis of table:-

If F and G are in the same team, then H must also be in the same tem but not B.
Hence, the required answer is (C)