Select the option that is true about the Statements and Conclusions given: Statements: Some girls are dancers No girl can sing Conclusions: I. Boys can sing II. Some dancers can sing
neither conclusion I nor conclusion II follows
Let's analyze the given statements and conclusions to determine which conclusions logically follow from the statements.
Analyzing the Statements
We are given two statements:
- Statement 1: Some girls are dancers.
- Statement 2: No girl can sing.
From Statement 1, we understand that there is an intersection between the group of girls and the group of dancers. Some individuals belong to both groups.
From Statement 2, we understand that the group of girls and the group of people who can sing are completely separate. There are no individuals who are both a girl and can sing.
Examining the Conclusions
We need to evaluate two conclusions based on the given statements:
- Conclusion I: Boys can sing.
- Conclusion II: Some dancers can sing.
Logical Deduction of Conclusions
Analysis of Conclusion I: Boys can sing
The provided statements give us information about girls, dancers, and their singing ability. Specifically, they state that no girl can sing. However, the statements provide absolutely no information about boys or their ability to sing. We cannot make any logical deduction about boys based on information solely about girls and dancers. Therefore, Conclusion I does not necessarily follow from the statements.
Analysis of Conclusion II: Some dancers can sing
Let's consider what we know about dancers based on the statements.
- Statement 1 tells us that some girls are dancers.
- Statement 2 tells us that no girl can sing.
Combining these two statements, we know that the group of "some girls who are dancers" cannot sing, because they are girls, and no girl can sing.
However, Statement 1 only says "Some girls are dancers." This implies there might be other dancers who are not girls (e.g., boys, men, other females who are not 'girls' in the context of the statements, etc.). The statements provide no information about the singing ability of these other dancers who are not girls.
It is possible that all these other dancers cannot sing either. It is also possible that some or all of these other dancers can sing. Since we cannot definitively conclude from the statements that there exists even one dancer who can sing (as the 'some girls who are dancers' definitely cannot sing, and we know nothing about the rest), Conclusion II does not necessarily follow.
Summary of Findings
Based on our analysis:
- Conclusion I cannot be deduced because the statements offer no information about boys.
- Conclusion II cannot be deduced because while the girl dancers cannot sing, we have no information guaranteeing that any non-girl dancers can sing.
Therefore, neither conclusion logically follows from the given statements.
Important Questions from Statements and Conclusions
In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. All A are B.
II. Some B are C.
Conclusions:
I. Some A are C.
II. Some A are not C.
III. Some A are B.
Read the given statements and conclusions carefully and decide which of the given conclusions logically follows from the given statements.
Statement:
A asked C, "What time is it now?" Is it half past two? ''
Conclusions:
1. A wants to go to lunch.
2. A wants to confirm what the time is because his watch is off.
In the question one statement is given, followed by two conclusions, I and II. 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 : 55% of Manisha's office colleagues went to watch the movie.
Conclusion I : Manisha went to watch the movie.
Conclusion II : Manisha did not go to watch the movie.
In the question two statements are given, followed by two conclusions, I and II. 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 : All schools are books.
Statement 2 : No books are papers.
Conclusion I : No schools are books.
Conclusion II : Some books are schools.
In the question below are given some statements followed by some conclusions based on those statements. Take the given statements to be true even if they seem to be different from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
I. Some P are Q.
II. All P are N.
Conclusion:
I. All Q are N.
II. Some P are not Q.
