Question : Directions: Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some watches are com.
All com is wood.
Conclusions:
I. Some watches are wood.
II. Some wood is com.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Both conclusions 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 watches are wood –
From the Venn diagram, it is evident that the circles representing watch and wood overlap and have some parts of their area in common. Thus, it can be concluded that some watches are wood.
Conclusion (II):
Some wood is com –
From the Venn diagram, it is evident that some parts of the circle representing wood lie inside the circle representing com while some lie outside. Thus, it can be concluded that some wood is com.
So, both conclusions I and II follow. Hence, the fourth option is correct.
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