Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

Some boats are ships.

All ships are yachts.

All yachts are barges.

Conclusions:

I. Some barges are ships.

II. Some barges are boats.

III. Some yachts are boats.

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)

Answer 1

The least possible Venn diagram is:

F1 SSC Arbaz 31-1-24 D31

Conclusions:

I. Some barges are ships. → Follows (As, All ships are yachts. and All yachts are barges)

II. Some barges are boats. → Follows (As, Some boats are ships, All ships are yachts and All yachts are barges)

III. Some yachts are boats. → Follows (As, Some boats are ships and All ships are yachts)

Hence, 'All conclusions follow' is the correct answer.