Question : Directions: Two statements are given followed by two conclusions I and II. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Choose which of the given conclusions logically follow/s from the given statement.
Statements:
I. All chairs are wood.
II. No wood is furniture.
Conclusions:
I. All chairs are furniture.
II. Some furniture is wood.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All chairs are furniture – From the Venn diagram, all chairs are wood and there is a negative relation between wood and furniture. Therefore, no chair is furniture is true but all chairs are furniture is a false conclusion.
Conclusion (II):
Some furniture is wood – From the Venn diagram, all chairs are wood and there is a negative relation between wood and furniture. Therefore, no chair is furniture is true but some furniture is wood is a false conclusion.
So, neither conclusion I nor II follows. Hence, the fourth option is correct.
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