Question : Directions: Three 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:
All gold is silver.
All silver is brass.
All brass is copper.
Conclusions:
I. All gold is copper.
II. All silver is copper.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram for the given statements is as follows –
Let's analyse the conclusion –
Conclusion (I):
All gold is copper – From the Venn diagram, it is evident that the circle representing gold completely lies inside the circle representing copper. So, from this, it can be concluded that all gold is copper. Thus, this conclusion follows.
Conclusion (II):
All silver is copper – From the Venn diagram, it is evident that the circle representing silver completely lies inside the circle representing copper. So, from this, it can be concluded that all silver is copper. Thus, this conclusion follows.
So, both the conclusions I and II follow. Hence, the fourth option is correct.
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