Question

Raipur University presently employs three managers - 'a', 'b' and 'c' and five faculty members - 'd', 'e', 'f', 'g', 'h' and is planning to relocate two managers and three faculty members to the new centre. Following information was available to the HR department.
(K) Manager 'a' & 'c' cannot be sent as a team to the new centre.
(L) 'c' & 'e' are excellent performers, though they do not share good rapport and hence should not be sent together.
(M) If 'd' is sent, then 'g' cannot be sent, and vice versa.
(N) 'd' & 'f' should not be together in a team.
Which of the following cannot be a possible working unit?

• A. a \(\rightarrow\) b \(\rightarrow\) d \(\rightarrow\) e \(\rightarrow\) h
• B. a \(\rightarrow\) b \(\rightarrow\) f \(\rightarrow\) g \(\rightarrow\) h
• C. a \(\rightarrow\) b \(\rightarrow\) e \(\rightarrow\) g \(\rightarrow\) h
• D. a \(\rightarrow\) b \(\rightarrow\) d \(\rightarrow\) g \(\rightarrow\) h

Hint:

To solve group-selection multiple choice questions quickly, look for the most restrictive negative constraints (like "d and g cannot be together") and scan the options to see if any of them contain that forbidden pair. Here, scanning for 'd' and 'g' instantly points to Option D.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
We need to test the given options against a set of constraints regarding who can and cannot be sent together in a 5-member team (consisting of 2 managers and 3 faculty members).

Step 2: Detailed Explanation:
Let us list the negative selection constraints:
1. Constraint (K): 'a' and 'c' cannot be together.
2. Constraint (L): 'c' and 'e' cannot be together.
3. Constraint (M): 'd' and 'g' cannot be together.
4. Constraint (N): 'd' and 'f' cannot be together.
Let us evaluate each option against these constraints:
- Option (A): `a -> b -> d -> e -> h`
- Contains 'a' and 'b' (Constraint K satisfied).
- Contains 'd', 'e', 'h' (Constraints L, M, and N satisfied since 'c', 'g', and 'f' are not present). This is a possible team.
- Option (B): `a -> b -> f -> g -> h`
- Contains 'a' and 'b' (Constraint K satisfied).
- Contains 'f', 'g', 'h' (Constraints L, M, and N satisfied since 'c' and 'd' are not present). This is a possible team.
- Option (C): `a -> b -> e -> g -> h`
- Contains 'a' and 'b' (Constraint K satisfied).
- Contains 'e', 'g', 'h' (Constraints L, M, and N satisfied since 'c' and 'd' are not present). This is a possible team.
- Option (D): `a -> b -> d -> g -> h`
- Contains 'd' and 'g' together in the team.
- This directly violates Constraint (M): "If 'd' is sent, then 'g' cannot be sent, and vice versa."
Therefore, Option (D) cannot be a possible working unit.

Step 3: Final Answer:
(D) a \(\rightarrow\) b \(\rightarrow\) d \(\rightarrow\) g \(\rightarrow\) h