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 conclusions logically follow/s from the given statements.
Statements:
I. Some aprons are chopsticks.
II. Some chopsticks are forks.
III. All forks are knives.
Conclusions:
I. Some chopsticks are aprons.
II. No forks are knives.
Option 1: Both conclusions (I) and (II) follow
Option 2: Neither conclusion (I) nor (II) follows
Option 3: Only conclusion (I) follows
Option 4: Only conclusion (II) follows
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Correct Answer: Only conclusion (I) follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some chopsticks are aprons – From the Venn diagram, we can see that the two circles representing chopsticks and aprons overlap and have a part of their area in common. So, this conclusion follows.
Conclusion (II):
No forks are knives – From the Venn diagram, we can see that the circle representing forks is completely overlapped by the circle representing knives. So all forks are knives. So, this conclusion does not follow.
So, the only conclusion (I) follows. Hence, the third option is correct.
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