Question : Directions: Read the given statements and conclusions carefully. You have to consider the given statements true even if they seem at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
(I) All spoons are forks.
(II) Some forks are sticks.
(III) No stick is a knife.
Conclusions:
(I) Some knives are forks.
(II) No stick is a spoon.
Option 1: Only conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follows
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Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some knives are forks – According to the Venn diagram, there is no definite relation between knives and forks. Therefore, this conclusion is false.
Conclusion (II):
No stick is a spoon – According to the Venn diagram, there is no definite relation between a stick and a spoon. Therefore, this conclusion is false.
So, neither conclusion I nor II follows. Hence, the fourth option is correct.
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