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:
I) All cardiologists are doctors.
II) Some cardiologists are neurologists.
Conclusions:
I) Some doctors are cardiologists.
II) Some doctors are neurologists.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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 doctors are cardiologists – From the Venn diagram, it is evident that some parts of the circle representing doctors lie inside the circle representing cardiologists while some lie outside. Thus, it can be concluded that some doctors are cardiologists.
Conclusion (II):
Some doctors are neurologists – From the Venn diagram, it is evident that the circles representing doctors and neurologists intersect and have some parts of their area in common. Thus, it can be concluded that some doctors are neurologists.
So, both conclusions I and II follow. Hence, the first option is correct.
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