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:
Only a few Adults are Plumbers.
Only a few Plumbers are Taxi drivers.
Conclusions:
I. Some Adults are Taxi drivers.
II. All Plumbers can never be Taxi drivers.
Option 1: Neither conclusion I nor II follow
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: Only conclusion II follows
Solution : According to the given statements, the Venn diagram is as follows –
Let's check the conclusions –
Conclusion I:
Some Adults are Taxi drivers – A few adults are plumbers and a few plumbers are taxi drivers. But adults may or may not be taxi drivers. As there is no definite relation given between them. Thus, this conclusion doesn't follow.
Conclusion II:
All Plumbers can never be Taxi drivers – Since only a few plumbers are taxi drivers, therefore, all plumbers cannot be taxi drivers. Thus, this conclusion follows.
So, only conclusion II follows. Hence, the third option is correct.
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