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 lyricists are singers.

Some singers are writers.

No writer is a musician.

Conclusions:

(I): No lyricist is a musician.

(II): Some writers are lyricists.

• A. Only conclusion (II) follows
• B. Only conclusion (I) follows
• C. Neither conclusion (I) nor conclusion (II) follows
• D. Both conclusion (I) and conclusion (II) follows

Answer 1

Answer:

C. Neither conclusion (I) nor conclusion (II) follows

Let’s analyze step by step using set logic.

1. All lyricists are singers
   → Lyricists ⊆ Singers

2. Some singers are writers
   → Singers ∩ Writers ≠ ∅

3. No writer is a musician
   → Writers ∩ Musicians = ∅

No lyricist is a musician.

All lyricists are singers.

Some singers are writers, but not all singers are writers.

Only writers are restricted from being musicians.

A lyricist could be a singer who is not a writer, and thus could be a musician.

Conclusion I does NOT logically follow.

Conclusion (II): Some writers are lyricists.

• We know: Some singers are writers.

• We also know: All lyricists are singers.

• But there is no direct link saying that lyricists are writers or that the “some singers who are writers” are lyricists.

Conclusion II does NOT logically follow.

Neither conclusion I nor conclusion II follows.