Question : Directions: In the following question below are given some statements followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
I. Some knives are spoons.
II. Some forks are knives.
III. No fork is green.
Conclusions:
I. Some spoons are forks.
II. Some knives are green.
III.Some green are not knives.
IV. Some knives are not green.
Option 1: Only conclusion IV follows
Option 2: Only conclusion III follows
Option 3: Only conclusions III and I follow
Option 4: Only conclusions I and II follow
Correct Answer: Only conclusion IV follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some spoons are forks – From the Venn diagram, it is evident that there is no direct relation between spoons and forks. So, this conclusion does not follow.
Conclusion II:
Some knives are green – From the Venn diagram, it is evident that there is no direct relation between knives and green. So, this conclusion does not follow.
Conclusion III:
Some green are not knives – From the Venn diagram, it is evident that there is no direct relation between knives and green. So, this conclusion does not follow.
Conclusion IV:
Some knives are not green – From the Venn diagram, it is evident that some knives are forks and no fork is green. So, it can be concluded that some knives that are forks are not green.
So, the only conclusion IV follows. Hence, the first option is correct.
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