Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly

known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

All actors are writers.

Some writers are dancers.

Some dancers are stars.

Conclusions:

(1): Some stars are actors.

(I1): Some dancers are actors.

• A. Both conclusions (1) and (Il) follow.
• B. Neither conclusion (1) nor (Il) follows.
• C. Only conclusion (Il) follows.
• D. Only conclusion (1) follows.

Answer 1

Answer:

B. Neither conclusion (1) nor (Il) follows.

Let’s analyze the statements using basic syllogism logic

Statements:

1. All actors are writers.
   Actors ⊆ Writers

2. Some writers are dancers.
   Writers ∩ Dancers ≠ ∅

3. Some dancers are stars.
   Dancers ∩ Stars ≠ ∅

   Conclusion (I): Some stars are actors

• We only know:

  • Stars overlap with dancers

  • Actors are inside writers

  • Writers overlap with dancers

• There is no direct or guaranteed link between Stars and Actors.

So this conclusion does not follow.

Conclusion (II): Some dancers are actors

• We know:

  • Actors ⊆ Writers

  • Some Writers are Dancers

• But that does not guarantee any actor is among those dancers.

So intersection between Actors and Dancers is not निश्चित (not assured).

So this conclusion also does not follow.

$\boxed{\text{Neither (I) nor (II) follows}}$