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 with commonly-known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statements:
All players are singers.
All dancers are singers.
Conclusions:
I. Some singers are dancers.
II. Some dancers are players.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor conclusion II follows
Option 3: Both conclusion I and conclusion II follow
Option 4: Only conclusion II follows
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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 singers are dancers – According to the Venn diagram, the circle of dancers is completely inside the circle of singers. Therefore, some singers are dancers is a true conclusion.
Conclusion II:
Some dancers are players – From the Venn diagram, the circle of players does not have any direct relation with the circle of dancers. This conclusion does not follow from the given statements.
So, only the conclusion I follows. Hence, the first option is correct.
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