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
In this question, three statements followed by two conclusions numbered I and II have been given. You have to take the given statements to be true even if they seem to be at variance from the commonly facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some flats are apartments.
No apartment is a hall.
Some halls are rooms.
Conclusions: I. At least some rooms are flats.
II. No apartment is a room.
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 blue are red.
II. Some green are red.
Conclusions:
I. No blue is green.
II. No red is green.
Given below are two statements, Consider these statements to be true even if they seem factuality absurd, Read the conclusions and then decide which of the given conclusions logically follow(s) from the given statements?
Statements :
1. All vases are flowers.
2. No flowers is a plant.
Conclusions :
1. No vases is a plant.
2. Some plant are vases
In the question two statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement 1 : Some cars are scooters.
Statement 2 : All scooters are buses.
Conclusion I : Some scooters are cars.
Conclusion II : Some buses are cars.
Conclusion III : All cars are buses.
In the question below are given three statements followed by two conclusions. You have to take each of the given statements to be true. Read the conclusions and then decide which of the conclusions can be logically derived.
Statements:
Some schools are colleges.
No college is university.
All universities are hospitals.
Conclusions:
I. Some schools are universities.
II. At least some hospitals are colleges.
