Question : Directions: 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: Some pets are birds. All birds are mats. Conclusions: I. All mats are birds. II. Some mats are pets.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All mats are birds – From the Venn diagram, it is evident that some parts of the circle representing mats lie inside the circle representing birds while some lie outside. Thus, this conclusion does not follow. Conclusion (II): Some mats are pets – From the Venn diagram, it is evident that the circles representing mats and pets overlap and have some parts of their area in common. Thus, it can be concluded that some mats are pets.
So, only conclusion II follows. Hence, the first option is correct.
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