Let’s evaluate the logical flow in option (c): ADF
Statement A: Laxman is a man.
Statement D: No man is an island.
Statement F: Laxman is not an island.
From A and D, we know:
\[
\text{Laxman is a man} \Rightarrow \text{No man is an island} \Rightarrow \text{Laxman is not an island (F)}
\]
This is a perfectly valid deductive reasoning chain.
Now let’s test the other options:
Option (a) ADE:
- A: Laxman is a man
- D: No man is an island
- E: Meera is not an island
E has no direct logical connection with A or D. Meera’s status as not an island isn’t logically deducible from Laxman being a man. Hence, not valid.
Option (b) ABE:
- A: Laxman is a man
- B: Meera is Laxman’s wife
- E: Meera is not an island
This only presents isolated facts — no logical derivation.
Option (d) CDE:
- C: Some women are islands
- D: No man is an island
- E: Meera is not an island
This set contains a contradiction: C suggests some women are islands, while E says Meera is not. These are disjointed statements with no common logical thread.
Conclusion:
Only option ADF presents a logically valid and deductively linked group of statements based on categorical syllogism.