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:
Most red are yellow.
Some yellow are green.
Conclusions:
I. Some green are yellow.
II. Some green is red.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
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 green are yellow – According to the Venn diagram, some parts of the circle of green intersect with the circle of yellow and have some common parts between them. Therefore, some green are yellow is true conclusion.
Conclusion (II):
Some green is red – According to the Venn diagram, there is no direct relation between green and red. Therefore, some green are red is a false conclusion.
So, the only conclusion I follows. Hence, the fourth option is correct.
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