Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.
Statements:
Some rats are mats.
All mats are ants.
Conclusions:
I. Some rats are ants.
II. Some ants are mats.
Option 1: Both conclusions follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
Correct Answer: Both conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some rats are ants – From the given Venn diagram, the circle of the rat is intersected by the circle of ants and has a common area between them. Therefore, this conclusion is true.
Conclusion (I):
Some ants are mats – From the given Venn diagram, the circle of the mat is completely inside the circle of ants. Therefore, this conclusion is true.
So, both conclusions follow. Hence, the first option is correct.
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