Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be 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. Some Hats are Caps.
II. Some Hats are Turbans.
III. All Caps are Monkeys.
Conclusions:
I. Some Turbans are Caps.
II. All Hats are Monkeys.
Option 1: Neither I nor II follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Neither I nor II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some Turbans are Caps – According to the Venn diagram, there is no definite relation between turbans and caps. So, some turbans are caps is not true. So, this conclusion does not follow.
Conclusion II:
All Hats are Monkeys – According to the Venn diagram, it is clear that the circles that represent hats and monkeys intersect and have some common area between them. So, all hats are monkeys is not true. So, this conclusion does not follow.
So, neither I nor II follows. Hence, the first option is correct.
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