Read the statement and identify the logically correct conclusions from the given information. Statement: Madhuri Dixit is a very good dancer. She is very flexible. Conclusion : I. All dancers are mostly flexible. II. Not all dancers are flexible.
Neither I nor II is correct.
Understanding Statement and Conclusions in Logical Reasoning
This question asks us to read a given statement and determine which of the provided conclusions can be logically derived from it. In logical reasoning, we must strictly adhere to the information provided in the statement and not bring in outside knowledge or make assumptions.
Analyzing the Given Statement
The statement is:
Statement: Madhuri Dixit is a very good dancer. She is very flexible.
This statement provides specific information about one individual, Madhuri Dixit. It tells us two facts about her: she is a good dancer, and she is flexible. This statement does not provide any information about other dancers or about the general relationship between dancing and flexibility.
Examining Conclusion I: All dancers are mostly flexible
The first conclusion is:
Conclusion I: All dancers are mostly flexible.
Let's evaluate if this conclusion logically follows from the statement. The statement only gives information about one dancer, Madhuri Dixit. It says she is flexible. From this single example, we cannot logically conclude that *all* dancers are mostly flexible. Making a generalization about an entire group ("All dancers") based on the observation of just one member is a logical fallacy (specifically, hasty generalization or converse accident). The statement does not provide enough evidence to support a claim about all dancers.
Therefore, Conclusion I is not logically correct based *only* on the given statement.
Examining Conclusion II: Not all dancers are flexible
The second conclusion is:
Conclusion II: Not all dancers are flexible.
Let's evaluate this conclusion. The statement tells us that Madhuri Dixit *is* flexible. It gives us absolutely no information about whether any other dancer is *not* flexible. Based solely on the statement that one dancer is flexible, we cannot logically deduce anything about the flexibility of other dancers. We don't know if some dancers are not flexible, or if all other dancers are also flexible. The statement simply doesn't provide the necessary information to support Conclusion II.
Therefore, Conclusion II is not logically correct based *only* on the given statement.
Logical Deduction Summary
Based on the analysis:
- Conclusion I makes an invalid generalization about all dancers from a single instance.
- Conclusion II makes a claim about the existence of non-flexible dancers, for which the statement provides no evidence.
Neither conclusion can be logically derived from the statement "Madhuri Dixit is a very good dancer. She is very flexible."
Hence, neither Conclusion I nor Conclusion II is correct.
Reviewing the Options
Let's look at the given options:
- Only conclusion I is correct. (Incorrect)
- Neither I nor II is correct. (Correct based on our analysis)
- Only conclusion II is correct. (Incorrect)
- Both I and II are correct. (Incorrect)
The logical analysis shows that neither conclusion is correct.
| Item | Assessment | Reasoning |
|---|---|---|
| Statement | Fact about one dancer | Madhuri Dixit is a dancer and is flexible. |
| Conclusion I | Invalid deduction | Generalizing about ALL dancers from one example is illogical. |
| Conclusion II | Invalid deduction | No information in the statement supports a claim about non-flexible dancers. |
| Overall | Neither conclusion is logically correct | The statement provides insufficient evidence for either conclusion. |
Revision Table: Logical Statement and Conclusion
| Concept | Description | Relevance Here |
|---|---|---|
| Statement | The given facts or premises. | The information about Madhuri Dixit. |
| Conclusion | An inference drawn from the statement. | Proposed deductions about dancers' flexibility. |
| Logical Inference | Drawing conclusions ONLY from the given statement. | Crucial rule; external knowledge is ignored. |
| Generalization | Making a broad statement from specific instances. | Conclusion I attempts this invalidly. |
Additional Information: Deductive vs. Inductive Reasoning in Logic
This question highlights the difference between deductive and inductive reasoning, although the task here is strictly deductive (drawing conclusions *necessarily* implied by the premises).
- Deductive Reasoning: Starts with general statements and moves to specific conclusions. If the premises are true, the conclusion *must* be true. Example: All humans are mortal. Socrates is human. Therefore, Socrates is mortal. This is the type of reasoning tested in formal logic questions like Statement and Conclusion, where you check if the conclusion is *necessarily* implied.
- Inductive Reasoning: Starts with specific observations and moves to general conclusions. The conclusion is probable, but not guaranteed, even if the observations are true. Example: Every swan I have seen is white. Therefore, all swans are white. Conclusion I in the problem ("All dancers are mostly flexible") is an attempt at inductive reasoning, but in the context of a deductive logic problem, it is considered an invalid step if the premise is only one example.
In Statement and Conclusion problems, we are primarily concerned with deductive validity. A conclusion is correct only if it *must* be true whenever the statement is true.
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.
Directions: The questions has a statement followed by two conclusions I and II. You have to decide which of the conclusions follows from the given statement and mark your answer as
Statement: Mr A is not among the candidates shortlisted for the post of vice chancellor of a university
Conclusions :
I) Mr. A will be elected as Vice - chancellor
II) Mr. A will not be considered for the post of Vice-chancellor
Read the given statements and conclusions carefully. Assuming that the information in the statements is true, even if it appears to be at variance from commonly established facts, decide which of the conclusions from / logically follows these statements.
Statement:
Poverty makes man hardworking.
Hardworking people are not poor.
Conclusion:
I. A person must be poor to be hardworking.
II. Diligence helps to remove poverty.
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.
