Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
I. Some cars are white.
II. Some locks are white
Conclusions:
I. All white are locks.
II. No car is a lock.
III. All locks are cars.
Option 1: All the conclusions follow
Option 2: Only conclusion III follows
Option 3: Only conclusion II follows
Option 4: None of the conclusions follows
Correct Answer: None of the conclusions follows
Solution :
The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All white are locks – As shown in the diagram above it is seen that circles of white and locks are overlapping which means some white are locks but all white are locks is not defined by a diagram. So, this conclusion doesn't follow.
Conclusion (II):
No car is a lock – As shown in the diagram above it is seen that circles of cars and locks are independent. The diagram doesn't define any relation between them. So, this conclusion doesn't follow.
Conclusion (III):
All locks are cars – As shown in the diagram above it is seen that circles of cars and locks are independent. The diagram doesn't define any relation between them. So, this conclusion doesn't follow.
So, none of the conclusions follows. Hence, the fourth option is correct.
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