Directions: In the following question, only one Conclusion is given and five statements are given as a), b), c), d) and e). From this, you have to take the statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given statement logically follows.Conclusions:1. All Donald being Micky is a possibility.2. All Tom being Jerry is a possibility.a) Statements I: All Donald is Jerry. All Jerry is Micky. No Micky is Tom.b) Statements II: Some Donald is Jerry. No Jerry is Micky. Some Micky is Tom.c) Statements III: Some Donald is Jerry. Some Jerry is Micky. No Micky is Tom.d) Statements IV: All Donald is Jerry. No Jerry is Micky. All Micky is Tom.e) Statements V: No Jerry is Tom. Some Donald is Tom. No Micky is Donald.
Question
Directions: In the following question, only one Conclusion is given and five statements are given as a), b), c), d) and e). From this, you have to take the statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given statement logically follows.Conclusions:1. All Donald being Micky is a possibility.2. All Tom being Jerry is a possibility.a) Statements I: All Donald is Jerry. All Jerry is Micky. No Micky is Tom.b) Statements II: Some Donald is Jerry. No Jerry is Micky. Some Micky is Tom.c) Statements III: Some Donald is Jerry. Some Jerry is Micky. No Micky is Tom.d) Statements IV: All Donald is Jerry. No Jerry is Micky. All Micky is Tom.e) Statements V: No Jerry is Tom. Some Donald is Tom. No Micky is Donald.
Solution
The conclusion "All Donald being Micky is a possibility" can be derived from Statements I: All Donald is Jerry. All Jerry is Micky. No Micky is Tom. Even though the statement says "No Micky is Tom", it doesn't affect the possibility of all Donald being Micky.
The conclusion "All Tom being Jerry is a possibility" cannot be derived from any of the given statements. In Statements I, III, and V, it is explicitly stated that "No Micky is Tom" or "No Jerry is Tom", which contradicts the conclusion. In Statements II and IV, the fact that "No Jerry is Micky" and "Some Micky is Tom" exist together also contradicts the conclusion.
Therefore, only conclusion 1 follows from Statement I.
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