Three statements are given, followed by four conclusions numbered I, II, III and IV. 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 desks are trays.

Some trays are plates.

Some plates are desks.

Conclusions:

I. All desks are plates.

II. All plates are desks.

III. Some plates are trays.

IV. All trays are desks.

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 1)

Answer 1

The least possible Venn diagram is:

F1 Vinanti SSC 22.09.23 D9

Conclusions:

I. All desks are plates. → Does not follow (As, Some plates are desks → desks are plates)

II. All plates are desks. → Does not follow (As, Some plates are desks)

III. Some plates are trays. → Follows (As, Some trays are plates)

IV. All trays are desks. → Does not follow (As, Some desks are trays → trays are desks)

Hence, the correct answer is "Only conclusion III follows".