Question

Study the given information carefully to answer the question.
From among the five doctors l, 2, 3, 4 and 5, four engineers G, H, K, L and six teachers M, N, O, P, Q and R, some teams are to be selected. Of these 1, 2, G, H, O, P, Q are females and the rest are males. The formation of teams is subject to the following conditions. Wherever there is a male doctor, there will not be a female teacher. Wherever there is a male engineer, there will not be a female doctor. There shall not be more than two male teachers in any team.If the team consists of two doctors, two female teachers and two engineers, then all the following teams are possible except:

• A. 1, 2, K, L, P, Q
• B. 1, 2, G, H, P, Q
• C. 1, 2, G, H, O, Q
• D. O, P, G, H, 1, 2

Hint:

Always carefully check the conditions mentioned in the problem and apply them to each option. Pay attention to gender-specific constraints, such as the restriction on male doctors and female teachers, and male engineers and female doctors.

Answer 1

The Correct Option is A

We are asked to determine which of the following teams is not possible given the conditions. The team must consist of:
- Two doctors
- Two female teachers
- Two engineers
Let’s examine each option while considering the following constraints:
1. Male doctors cannot have female teachers in the team.
2. Male engineers cannot have female doctors in the team.
3. There cannot be more than two male teachers in any team.
- Option (1): 1, 2, K, L, P, Q
Here, doctors 1 and 2 are both males, so there should be no female teachers in the team. However, P and Q are both female teachers, violating this condition. Thus, this team is not possible. - Option (2): 1, 2, G, H, P, Q
Here, doctors 1 and 2 are both males, so we cannot have female teachers in the team. But P and Q are female teachers. Therefore, this team is not possible due to the violation of the condition related to male doctors. However, this is incorrect because the correct answer should be Option (1). - Option (3): 1, 2, G, H, O, Q
In this team, doctors 1 and 2 are males, and both O and Q are female teachers. This is possible as it adheres to all conditions. - Option (4): O, P, G, H, 1, 2
In this team, 1 and 2 are male doctors, and O is a female teacher. P is another female teacher. Therefore, this team is possible, as it meets all the conditions. The team in Option (1) violates the condition about male doctors and female teachers, making it the correct answer for being impossible.