Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
(I) All dances are art.
(II) Some walls are art.
(III) Some dances are groups.
Conclusions:
(I) Some walls are dances.
(II) Some groups are art.
Option 1: Both conclusions (I) and (II) do not follow
Option 2: Only conclusion (I) follows
Option 3: Both conclusions (I) and (II) follow
Option 4: Only conclusion (II) follows
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Correct Answer: Only conclusion (II) follows
Solution : The possible Venn diagram according to the statements given in the question –
Let's check each conclusion –
Conclusions I:
Some walls are dances – According to the Venn diagram, there is no definite relation between walls and dances. Therefore, this conclusion does not follow.
Conclusion II:
Some groups are art – According to the Venn diagram, the circle of groups and art intersect and have some common area between them. Therefore, this conclusion follows.
So, the only conclusion II follows. Hence, the fourth option is correct.
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