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 conclusions logically follow(s) from the statements.
Statements:
Some belts are leathers.
All leathers are skins.
Some skins are white.
Conclusions:
I. Some belts are skins.
II. Some belts are white.
Option 1: Either conclusion I or II follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some belts are skins – From the Venn diagram, it is evident that the circles representing belts and skin overlap and have some parts of their area in common. Thus, it can be concluded that some belts are skins.
Conclusion (II):
Some belts are white – From the Venn diagram, it is evident that there is no definite relation between belts and white. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the fourth option is correct.
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