The two statements below are followed by two conclusions labelled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: 1. Some animals are tigers. 2. All tigers are vertebrates. Conclusions: I. All vertebrates are tigers. II. Some vertebrates are animals.
Only conclusion II follows
Analyzing Logical Statements and Conclusions
This problem requires determining which conclusions logically follow from the given statements using deductive reasoning.
Evaluating Conclusion I
Statement 2: All tigers are vertebrates.
This statement means the set of 'tigers' is a subset of the set 'vertebrates'.
Conclusion I: All vertebrates are tigers.
This conclusion implies that the set 'vertebrates' is a subset of the set 'tigers'. This contradicts Statement 2, as there can be vertebrates that are not tigers. Therefore, Conclusion I does not logically follow.
Evaluating Conclusion II
Statement 1: Some animals are tigers.
This indicates an overlap between the set 'animals' and the set 'tigers'. At least one animal is a tiger.
Statement 2: All tigers are vertebrates.
This means every tiger is also a vertebrate.
Conclusion II: Some vertebrates are animals.
Since some animals are tigers (Statement 1), and all these tigers are vertebrates (Statement 2), it means that those specific animals, which are tigers, must also be vertebrates. Thus, there exists at least one vertebrate that is an animal. Therefore, Conclusion II logically follows.
Final Decision
Based on the analysis, only Conclusion II is logically valid.
- Conclusion I does not follow.
- Conclusion II follows.
The correct option is the one stating that only Conclusion II follows.
Important Questions from Conventional Syllogism
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:
1. Some flowers are chemicals.
2. Some chemicals are herbs.
Conclusions:
I. No flower is a herb.
II. Some flowers are herbs.
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:
All students are teachers.
All teachers are professors.
Conclusions:
1. All students are professors.
2. All professors are students.
3. No teacher is a professor.
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. Some dentists are surgeons.
II. All the surgeons are doctors.
Conclusions:
I. Some dentists are doctors.
II. No surgeons are dentists.
The statements below are followed by two conclusions labelled I and II. Assuming that the information in the statements is true, even if it appears at variance with generally established facts. decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.
Statements:
1) Some angers are griefs.
2) Some griefs are loves.
Conclusion:
I. Some griefs are angers.
II. Some loves are griefsThe statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts. decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.
Statements:
Some cows are deer.
Some deer are fishes.
Conclusion:
I. Some cows are fishes.
II. Some fishes are cows.
