Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
I. Some chocolates are toffees.
II. All toffees are eclairs.
Conclusions:
I. Some eclairs are toffees.
II. Some eclairs are chocolates.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some eclairs are toffees – From the Venn diagram, the circle of toffee is completely inside the circle of eclairs. Therefore, this conclusion is true.
Conclusion (I):
Some eclairs are chocolates – From the Venn diagram, the circle of eclairs intersects the circle of chocolate and has a common area between them. Therefore, this conclusion is true.
So, both the conclusions I and II follow. Hence, the first option is correct.
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