Read the given statements and conclusions carefully. You have to take the…
2024
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:
No river is a mountain.
Some rivers are animals.
Some birds are mountains.
Conclusions:
I: No animal is a mountain.
II: No river is a bird.
- A.
Only conclusion (II) follows
- B.
Neither conclusion (I) nor (II) follows
- C.
Both conclusions (I) and (II) follow
- D.
Only conclusion (I) follows
Attempted by 29 students.
Show answer & explanation
Correct answer: B
Statements:
No river is a mountain. (The sets "River" and "Mountain" are disjoint; they do not overlap.)
Some rivers are animals. (The sets "River" and "Animal" overlap.)
Some birds are mountains. (The sets "Bird" and "Mountain" overlap.)
Evaluating Conclusions:
Conclusion I: No animal is a mountain.
We know "Some rivers are animals." Since rivers cannot be mountains, the part of the "Animal" set that is also "River" cannot be "Mountain." However, we have no information about the part of the "Animal" set that is not a river. It is possible for those animals to be mountains without contradicting the statements. Because this is not definitively true, this conclusion does not logically follow.
Conclusion II: No river is a bird.
We know "Some birds are mountains," and "No river is a mountain." This means the "Bird" set overlaps with the "Mountain" set. However, we have no information about the relationship between the "Bird" set and the "River" set. The part of the "Bird" set that is not a mountain could potentially overlap with the "River" set. Since it is not necessarily true, this conclusion does not logically follow.