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 cards are boxes.

All boxes are torches.

All torches are shoes.

Conclusions:

I. All shoes are torches.

II. All torches are boxes.

III. All boxes are cards.

IV. All cards are shoes.

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 1)

Answer 1

The least possible Venn diagram for the given statements is as shown below :

F1 Savita SSC 30-1-23 D31

Conclusions:

I. All shoes are torches → Does not follow (As all torches are shoes. So, it is possible but not definitely true)

II. All torches are boxes → Does not follow (As all boxes are torches. So, it is possible but not definitely true)

III. All boxes are cards → Does not follow (As all cards are boxes. So, it is possible but not definitely true)

IV. All cards are shoes → Follow (As all cards are boxes, all boxes are torches and all torches are shoes. So, it is definitely true)

∴ Here, Only conclusion IV follows.

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