Question : Directions: Three statements are followed by three conclusions numbered I, II, and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow/s from the given statements.
Statements:
Few chips are cakes.
All cakes are ice creams.
All ice creams are sweets.
Conclusions:
(I) Some sweets are cakes.
(II) Some ice creams are cakes.
(III) All cakes are sweets.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: All conclusions I, II and III follow
Option 4: Either conclusion I or conclusion III follows
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Correct Answer: All conclusions I, II and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some sweets are cakes – From the Venn diagram, it is evident that some parts of the circle representing sweets lie outside the circle representing cakes while some lie inside. So, it can be concluded that some sweets are cakes.
Conclusion (II):
Some ice creams are cakes – From the Venn diagram, it is evident that some parts of the circle representing ice creams lie outside the circle representing cakes while some lie inside. So, it can be concluded that some ice creams are cakes.
Conclusion (III):
All cakes are sweets – From the Venn diagram, it is evident that the circle representing cakes completely lies inside the circle representing sweets. So, it can be concluded that all cakes are sweets.
So, all conclusions I, II, and III follow. Hence, the third option is correct.
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