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Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.

Statements:

1. All film stars are playback singers.
2. All film directors are film stars.

Conclusions:

1. All film directors are playback singers.
2. Some film stars are film directors.
1. Only conclusion I follows.
2. Only conclusion II follows.
3. Neither conclusion I nor II follows.
4. Both conclusions I and II follow.

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1. All film directors are film stars
2. All film stars are playback singers.

$A \implies B$ and $B \implies C$ means $A \implies C.$ So All film directors are playback singers.

Conclusion 2 is also true as even if one film director exist, he must be a film star. (We have to assume domain sets to be non-empty here)

by Active (4.5k points)
edited by
+2
Both the conclusions follow. You can verify it by drawing venn diagram representation.

Option D
by Active (1.9k points)
+1

@Sreyas S

Please tell the method of how to draw venn diagrams for solving such problems