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Question

Read the given statements and conclusions carefully and choose which of the statements logically follows from the conclusions.

Statement:

The teacher said, "Those who have attempted question number 10 will get 2 extra marks because there was a typing error in the question."

Conclusion:

I. Grace mark is given due to management error.

II. Those who did not attempt the question will not be getting grace marks for question number 10.

The correct answer is

Both conclusions follow

Analyzing Statements and Conclusions

This question requires us to carefully read a given statement and then evaluate two conclusions based *only* on the information provided in that statement. We need to determine which of the conclusions logically follows from the statement.

Understanding the Statement

The statement describes a specific situation where a teacher is giving extra marks (often called grace marks) for a particular question (question number 10). The reason explicitly stated for giving these marks is a "typing error in the question". The condition for receiving these extra marks is having "attempted question number 10".

  • Statement Key Points:
  • Action: Teacher gives 2 extra marks.
  • Recipient condition: Those who attempted question number 10.
  • Reason: Typing error in the question.

Evaluating Conclusion I: Grace mark is given due to management error.

Conclusion I suggests that the grace marks are given because of a management error. The statement says the reason for the grace marks is a "typing error". A typing error in a question paper is typically considered an error in the production or setting of the paper, which falls under the purview of management or administration responsible for preparing the exam materials.

Therefore, it is a reasonable and logical inference that a typing error, which necessitates giving grace marks, is a type of management or administrative error.

  • Analysis of Conclusion I:
  • Statement says reason is 'typing error'.
  • Typing errors in exams are usually administrative/management mistakes.
  • Conclusion I links grace marks to 'management error'.
  • This link is a logical inference from the statement.

Based on this analysis, Conclusion I logically follows from the statement.

Evaluating Conclusion II: Those who did not attempt the question will not be getting grace marks for question number 10.

Conclusion II states that individuals who did not attempt question number 10 will not receive the grace marks for that specific question. The statement explicitly says, "Those who have attempted question number 10 will get 2 extra marks". This phrase sets a condition: only those who *attempted* the question are eligible for the extra marks. By clear implication, if this condition is not met (i.e., the question was not attempted), the consequence (getting extra marks) will not follow.

This is a direct logical consequence of the condition stated for receiving the marks.

  • Analysis of Conclusion II:
  • Statement sets a condition: 'attempted question 10' for getting marks.
  • Conclusion II addresses those who 'did not attempt' question 10.
  • If the condition is not met, the outcome (getting marks) does not occur.
  • This is a direct logical deduction from the statement.

Based on this analysis, Conclusion II logically follows from the statement.

Combining the Analysis

We have examined both conclusions independently and found that both Conclusion I and Conclusion II logically follow from the information provided in the statement. Conclusion I is a reasonable interpretation of the stated reason ('typing error' implying 'management error'), and Conclusion II is a direct logical deduction from the stated condition for receiving the grace marks ('only those who attempted').

Final Result

Since both conclusions logically follow from the statement, the correct option is the one stating that both conclusions follow.

Statement Element Logical Implication Conclusion Follows?
Reason: Typing error Typing error is a type of management error Conclusion I follows
Condition: Attempted question 10 gets marks Not attempted question 10 means no marks Conclusion II follows

Revision Table: Statements and Conclusions

Concept Description
Statement A given fact or set of facts.
Conclusion An inference or deduction made based on the statement(s).
Logically Follows The conclusion must be true if the statement(s) are true, based only on the information provided.
Inference A conclusion reached on the basis of evidence and reasoning.

Additional Information: Drawing Valid Conclusions

In logic and reasoning questions, drawing a valid conclusion means that the conclusion must be necessarily true if the premises (statements) are true. You must not use outside knowledge or assumptions unless the statement explicitly allows for it or implies it directly, as in the case of common sense interpretations like a typing error being a management error.

  • Key Principles:
  • Stick strictly to the information given in the statement(s).
  • Do not introduce new information or assumptions.
  • Identify the explicit conditions and consequences mentioned.
  • Look for direct logical deductions or strong logical inferences.
  • Consider what *must* be true if the statement is true.

In this specific question about statements and conclusions, the connection between a 'typing error' and a 'management error' is a very common and expected inference in the context of exam administration. Similarly, the condition for receiving marks directly implies the consequence of not meeting that condition.

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Important Questions from Statements and Conclusions

  1. 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.

  2. 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.
  3. 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.

  4. 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.
  5. 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.

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