Question : Directions: In the following question below are given some statements followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance with commonly-known facts, read all conclusions and decide which of the given conclusions logically follows from the given statements.
Statements:
All tables are chairs.
Some tables are cups.
Conclusions:
I. Some cups are chairs.
II. Some chairs are tables.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Both conclusions follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some cups are chairs – In the Venn diagram, the circles that represent cups and chairs intersect and have a common area between them. So, some cups are chairs is a true conclusion.
Conclusion II:
Some chairs are tables – In the Venn diagram, some parts of the circle of chairs are inside the circle of the table and some parts lie outside the tables. Therefore, this conclusion is true.
So, both conclusions I and II follow is correct. Hence, the third option is correct.
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