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 Room are Hotel.

All restaurant are Hotel.

Some restaurant are Motel.

Conclusions:

I. Some Room are Motel.

II. Some Hotel are Motel.

III. No Hotel is restaurant.

IV. No Room are Motel.

Solution

All Room are Hotel (A) +  All restaurant are Hotel (A) → Conversion → Some Hotel are restaurant (I) → No conclusion. Hence neither conclusion I nor IV follows bit it will make a complementary pair. Hence either conclusion I or IV follows. Some restaurant are Motel → Conversion → Some Motel are restaurant (I) + All restaurant are Hotel (A) → Some Motel are Hotel (I) → Conversion → Some Hotel are Motel (I). Hence conclusion II follows. All restaurant are Hotel (A) → Conversion → Some Hotel are restaurant (I). Hence conclusion III does not follow.