Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements:
Some scales are pencils.
Some erasers are pencils.
Conclusions:
I. Some pencils are erasers.
II. Some pencils are scales.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Both I and II follow
Option 4: Neither I nor II follows
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Correct Answer: Both I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some pencils are erasers – From the Venn diagram, it is evident that the circles representing pencils and erasers overlap each other and have a part of their areas in common. So, from this, it can be concluded that some pencils are erasers. Thus, this conclusion follows.
Conclusion (II):
Some pencils are scales – From the Venn diagram, it is evident that the circles representing pencils and scales overlap each other and have a part of their areas in common. So, from this, it can be concluded that some pencils are scales. Thus, this conclusion follows.
So, both conclusions follow. Hence, the third option is correct.
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