Question : Directions: In the following question, some statements are given followed by some conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any follows from the given statements.
Statements:
1. All roses are yellow.
2. Some roses are flowers.
Conclusions:
I. Some roses are yellow.
II. All roses are flowers.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusions I and II follow
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 roses are yellow – Based on the given statements, it is given that all roses are yellow and some are the subset of all. If all roses are yellow is true, then some roses are yellow is also true. Thus, this conclusion follows.
Conclusion (II):
All roses are flowers – Based on the given statements and Venn diagram, we can see that the circle of roses and flowers intersect and have only some part common between them. Therefore, some roses are flowers is true but all roses are flowers is not correct. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the first option is correct.
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