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
A situation is given, followed by two conclusions I and II. Read the situation and both the conclusions carefully and select the correct answer.
Situation:
Since the past 15 years, 75% of the products in the world’s pottery market comes from Country K. However, the employment in the pottery industry of Country K has been consistently declining by 5-9% every year since the past 3 years.
Conclusions:
I. Even after declining employment, Country K has enough potters to continue contributing equally to the international market.
II. The local demand of pottery in Country K has substantially decreased leading to less interest among potters.
The statement below is followed by three conclusions labelled I, II and III. You have to assume everything in the statement to be true, and then decide which of the three suggested conclusions logically follows for pursuing.
Statements:
1) No school is an institution but they are establishment.
2) All establishments that are not institutions have buildings.
Conclusions:
I. Schools are not establishments.
II. All schools have buildings.
III. Schools do not have buildings.Read the given statements and conclusion carefully and decide which of the following options is true with respect to the given conclusion.
Statements:
The Gateway of India is in Mumbai.
Mumbai is in India.
Conclusion:
The Gateway of India is in India.
Read the given statements and conclusion carefully and decide which of the following options is true with respect to the given conclusion.
Statements:
Men who are handsome are generally of the intellectual type.
Vikram is handsome.
Conclusion:
Vikram is intellectual.Given is a statement, followed by four conclusions. Read the statement carefully and decide which of the conclusions logically follow(s) from the given statement.
Statement:
This book can help because all good books help.
Conclusions:
I. This is not a good book.
II. This is a good book.
III. No good book helps.
IV. Some good books help.
