Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow from the given statements.
Statements:
I. Some clowns are scary.
II. All scary are ghosts.
III. Some ghosts are friendly.
Conclusions:
I. All ghosts are friendly
II. All clowns are ghosts.
Option 1: Only conclusion (I) follows
Option 2: Neither conclusion (I) nor (II) follows
Option 3: Only conclusion (II) follows
Option 4: Both conclusions (I) and (II) follow
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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 ghosts are friendly – From the Venn diagram, we can see that the circle representing ghosts intersect the circle representing friendly and have some common area between them. Therefore some ghosts are friendly is true, but all ghosts are friendly is a false conclusion.
Conclusion II:
All clowns are ghosts – From the Venn diagram, we can see that the circle representing the clown intersects the circle representing ghosts and has some common area between them. Therefore some clowns are ghosts is true, but all clowns are ghosts is a false conclusion.
So, neither conclusion (I) nor (II) follow. Hence the second option is correct.
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