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) All bags are pots.
(II) All keys are pots.
(III) No lamps are pots.
Conclusions:
(I) Some bags are keys.
(II) No keys are lamps.
Option 1: Only conclusion (II) follows
Option 2: Only conclusion (I) follows
Option 3: Neither conclusion (I) nor (II) follows
Option 4: Both conclusions (I) and (II) follow
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Correct Answer: Only conclusion (II) follows
Solution : According to the given statements, the following Venn diagram can be drawn –
Let's analyse the conclusions –
Conclusion (I):
Some bags are keys – From the above Venn diagram and the given statements, there is no direct relation between bags and keys. Therefore, this conclusion doesn't follow.
Conclusion (II):
No keys are lamps – From the above Venn diagram, the circle of keys is inside the circle of pots and it is given that no lamps are pots. Therefore, this conclusion follows.
So, only conclusion II follows. Hence, the first option is correct.
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