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 conclusions logically follow from the given statements.
Statements:
(I) All cars are yellow.
(II) Some yellows are flowers.
(III) Some flowers are brown.
Conclusions:
(I) Some yellows are brown.
(II) All yellows are cars.
Option 1: Neither conclusion (I) nor (II) follows
Option 2: Only conclusion (II) follows
Option 3: Only conclusion (I) follows
Option 4: Both conclusions (I) and (II) follow
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Correct Answer: Neither conclusion (I) nor (II) follows
Solution : The possible Venn diagram according to the statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some yellows are brown – According to the Venn diagram, there is no definite relation between yellow and brown. Therefore, this conclusion does not follow.
Conclusion (II):
All yellows are cars – According to the Venn diagram, it is evident that some part of the circle representing yellow lies outside the circle representing cars. So, it can be concluded that some yellows are cars, but not all. Therefore, this conclusion does not follow.
So, neither conclusion I nor II follows. Hence, the first option is correct.
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