Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
Some chips are potatoes.
All potatoes are fries.
All fries are snacks.
Conclusions:
(I) All potatoes are snacks.
(II) Some snacks are chips.
Option 1: Both conclusions (I) and (II) do not follow
Option 2: Only conclusion (I) follows
Option 3: Both conclusions (I) and (II) follow
Option 4: Only conclusion (II) follows
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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:
All potatoes are snacks – From the above diagram, it is clear that there is a direct relation between potatoes and snacks, as the circle that represents potatoes completely lies inside the circle that represents snacks. Therefore, this conclusion follows.
Conclusion II:
Some snacks are chips – From the above diagram, it is clear that there is a direct relation between snacks and chips, as two circles representing chips and snacks intersect and have a part of their area in common. Therefore, this conclusion follows.
So, both conclusions (I) and (II) follow. Hence, the third option is correct.
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