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Question

In the given question, a statement is given followed by some conclusions. Choose the conclusion(s) which logically follow(s) the given statement. 

Statement: 

Few shops on this road have neon lights, but they all have signboards. 

Conclusions : 

I. Some shops have either signboards or neon lights. 

II. Some shops have no signboards. 

III. Some shops have no neon lights. 

IV. Some shops have both signboards and neon lights. 

The conclusion(s) correctly drawn is/are :

The correct answer is
III and IV

Logical Reasoning: Statement and Conclusions Analysis

Statement Interpretation

The core statement is: "Few shops on this road have neon lights, but they all have signboards."

  • "Few shops ... have neon lights": This implies two things:
    • Some shops definitely have neon lights.
    • Some shops might not have neon lights.
  • "they all have signboards": This means every single shop on the road has a signboard. There are no exceptions.

Conclusion Analysis

Let's evaluate each conclusion based on the statement:

Conclusion I: Some shops have either signboards or neon lights.

Since the statement guarantees that all shops have signboards, this conclusion is logically true. Any shop selected will have a signboard, thus fulfilling the "signboards or neon lights" condition.

Conclusion II: Some shops have no signboards.

This directly contradicts the statement that "all shops have signboards". Therefore, Conclusion II is false.

Conclusion III: Some shops have no neon lights.

The statement uses "Few shops ... have neon lights". The term "few" implies not all shops have neon lights. Therefore, it logically follows that some shops must not have neon lights. Conclusion III is true.

Conclusion IV: Some shops have both signboards and neon lights.

We know "few shops ... have neon lights" (meaning at least some do) and "all shops have signboards". The shops that have neon lights are part of the total shops on the road. Since all shops have signboards, the specific shops that have neon lights must also have signboards. Therefore, some shops have both. Conclusion IV is true.

Final Deduction

Based on the analysis:

  • Conclusion II is definitely false.
  • Conclusions III and IV are direct logical consequences of the statement.

Therefore, the conclusions that correctly follow are III and IV.

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Important Questions from Statement and Conclusion (Notes)

  1. In the following question, a statement followed by 2 conclusions is given.
    Choose right conclusion which logically follows the given statement.
    Statement : Morning walks are good for health.
    Conclusions : I. All healthy people go for morning walk.
    II. Evening walks are harmful.
  2. If there is rainfall in a village, flowers will bloom. If flowers bloom, celebrations will definitely take place. Flowers did not bloom. Which of the following is certain?
  3. Study the following question carefully and choose the right answer
    Statement: Should articles of only deserving authors be allowed to be published?
    Arguments:
    (I) No, it is not possible to draw a line between the deserving and the undeserving.
    (II) Yes, it will save a lot of paper which is already in short supply.
    In light of the above statements, choose the most appropriate answer from the options given below.
  4. Statements: Morning walks are good for health.
    Conclusions: I: All healthy people go for morning walks.
    II: Evening walks are harmful.
    Choose the correct option :
  5. Given below are two statements related to evaluation system.
    Statement (I)Formative evaluation is administered during the lesson taught or instruction imported
    Statemet (II)Summative evaluation summarizes the final progress of the students as a result of a course of learning unit.
    Select the correct option
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