Direction: In the question below are given statements followed by some...
The least possible Venn diagram for the given statements is as follows.
Conclusions:
- No science is physics → False (It is possible but not definite).
- Some physics are science → False (It is possible but not definite)
- Some physics are chemistry → False (It is possible but not definite)
Conclusion I and II form complementary pair.
Hence, either conclusion I or II follows.
Direction: In the question below are given statements followed by some...
Understanding the Statements
The statements given are:
- No physics is maths.
- Some chemistry is maths.
- All sciences are chemistry.
Analyzing the Conclusions
Now, let's evaluate the conclusions based on the statements:
1. Conclusion 1: No science is physics.
- Since all sciences are chemistry and no physics is maths, and some chemistry is maths, we cannot definitively conclude that no science is physics. Thus, this conclusion does not logically follow.
2. Conclusion 2: Some physics are science.
- This conclusion is also not supported. Since no physics is maths and sciences are a subset of chemistry, we cannot deduce that some physics are science. Hence, this conclusion does not logically follow either.
3. Conclusion 3: Some physics are chemistry.
- This conclusion is not directly derivable from the statements. Although some chemistry is maths, and no physics is maths, we cannot conclude that some physics must be chemistry.
Final Evaluation
Given the above analysis:
- Conclusions 1 and 2 do not logically follow from the statements.
- Conclusion 3 is also unsupported by the statements.
Therefore, the correct answer is: a) Either 1 or 2 follow.
This is because both conclusions 1 and 2 cannot be proven true or false definitively based on the provided statements, hence the choice of either can be justified.