Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
1. No bed is a chair.
2. All tables are beds.
3. No cupboard is a bed.
Conclusions:
I. No table is a chair.
II. No cupboard is a table.
III. Some beds are tables.
Option 1: Only conclusions I and III follow
Option 2: Only conclusion I follows
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
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Correct Answer: All of the conclusions follow
Solution :
The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
No table is a chair – Because there is a direct negative relation between bed and chair and the table is a part of the bed, therefore, this conclusion is true.
Conclusion II:
No cupboard is a table – Because there is a direct negative relation between bed and cupboard and the table is a part of the bed, therefore, this conclusion is true.
Conclusion III:
Some beds are tables – From the Venn diagram, the circle of the table is completely inside the circle of the bed. Therefore, this conclusion is true.
So, all of the conclusions follow. Hence, the third option is correct.
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