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:
Some teas are coffee.
All coffee is sweet.
Conclusions:
I. All sweets are coffee.
II Some sweets are tea.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follow
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All sweets are coffee –
From the Venn diagram, it is evident that some parts of the circle representing sweet lie inside the circle representing coffee while some lie outside. Thus, this conclusion does not follow.
Conclusion (II):
Some sweets are tea –
From the Venn diagram, it is evident that the circles representing sweets and tea overlap and have some parts of their area in common. Thus, it can be concluded that some sweets are tea.
So, the only conclusion II follows. Hence, the first option is correct.
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