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In each question below are given two statements followed by four conclusions numbered I, II, III and IV. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the two given statements disregarding commonly known facts.
Statements :
1. All soaps are oils.
2. All oils are bottles.
Conclusions :
I. Some bottles are soaps.
II. All oils are soaps.
III. All soaps are bottles.
IV. All bottles are oils
The possibleĀ valid conclusions for 'All soaps are oils' can be: 'All soaps are oils, and vice versa',Ā 'All soaps are oils, and not vice versa'.
The possible valid conclusions for 'All oils are bottles' can be: 'All oils are bottles, and vice versa', 'All oils are bottles, and not vice versa'.Ā
Now, the aim shall be to try and negate each option, and see if any option will hold true in each case (formed by combining any of the two cases).Ā
1) This is a valid conclusion as it will hold true in any of the cases.
2) This is an invalid conclusion, which can be negated by the caseĀ 'All soaps are oils, and not vice versa'.
3) This is a valid conclusion as either all the three elements will coincide (soap, oil, bottle), or soap will be the smallest concentric circle out of the three.Ā
4) This is an invalid conclusion, which can be negated by the caseĀ 'All oils are bottles, and not vice versa'.
