Question

In each of these questions, two Conclusions have been given followed by 5 sets of possible Statements. You have to take the given Conclusions to be true even if they seem to be at variance with the commonly known facts and then decide that the Conclusions logically follows for which of the given statements disregarding commonly known facts.

Conclusions:Some Tables can be Chair. Some Chairs being Sticks is a possibility. Some Walls can be Chairs.

A No Chair is a Desk. At least Some Desks are Sticks. All Tables are Desks. All Tables are Walls. Correct Answer Incorrect Answer
B Some Chairs are Desks. No Wall is a Chair. Some Sticks are Chairs. All Tables are Walls. Correct Answer Incorrect Answer
C All Chairs are Desks. At least Some Desks are Sticks. Some Sticks are Tables. All Tables are Walls. Correct Answer Incorrect Answer
D Some Chairs are Desks. No Wall is a Chair. Some Sticks are Chairs. Some Tables are Walls. Correct Answer Incorrect Answer
E None of the above Correct Answer Incorrect Answer

Solution

1) No Chair is a Desk (E) + [All Tables are Desks (A) → Conversion] → Some Desks are Tables (I) → Some Tables are not Chairs (O*). Hence conclusion I does not follow. No Chair is a Desk (E) + At least Some Desks are Sticks (I) → Some Sticks are not Chairs (O*) → Probable conclusion → Some Chairs may be Sticks (I). Hence conclusion II follows. Some Tables can be Chairs (I) + [Some Walls can be Chairs (I) → Conversion] → Some Chairs are Walls (I) → No conclusion. Hence conclusion III does not follow. Hence option 1 is not correct. 2) All Tables are Walls (A) + No Wall is a Chair (E) → No Table is a Chair (E). Hence conclusion I does not follow. Some Sticks are Chairs (I) → Probable conclusion → Some Chairs are Sticks (I). Hence conclusion II does not follow. No Wall is a Chair (E) → Probable conclusion → No conclusion. Hence conclusion III does not follow. Hence option 2 is not correct. 3) All Chairs are Desks (A) + Some Desks are Sticks (I) → Probable conclusion → Some Chairs are Sticks (I) + Some Sticks are Tables (I) → Probable conclusion → Some Tables can be Chairs (I). Hence conclusion I follows. All Chairs are Desks (A) + Some Desks are Sticks (I) → Probable conclusion → Some Chairs may be Sticks (I). Hence conclusion II follows. All Chairs are Desks (A) + Some Desks are Sticks (I) → Probable conclusion → Some Chairs are Sticks (I) + Some Sticks are Tables (I) → Probable conclusion → Some Chairs are Tables (I) + All Tables are Walls (A) → Probable conclusion → Some Walls can be Chairs (I). Hence conclusion III follows. Hence option 3 is correct. 4) Some Tables are Walls (I) + No Wall is a Chair (E) → Some Tables are not Chairs (O). Hence conclusion I does not follow. Some Sticks are Chairs (I) → Probable conclusion → → No conclusion. Hence conclusion II does not follow. No Wall is a Chair (E) → Probable conclusion → No conclusion. Hence conclusion III does not follow. Hence option 4 is not correct.

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