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Given below are two statements and four conclusions drawn based on the statements. Statement 1: Some soaps are clean. Statement 2: All clean objects are wet. Conclusion I: Some clean objects are soaps. Conclusion II: No clean object is a soap. Conclusion III: Some wet objects are soaps. Conclusion IV: All wet objects are soaps. Which one of the following options can be logically inferred?

Given below are two statements and four conclusions drawn based on the statements. Statement 1: Some soaps are clean. Statement 2: All clean objects are wet. Conclusion I: Some clean objects are soaps. Conclusion II: No clean object is a soap. Conclusion III: Some wet objects are soaps. Conclusion IV: All wet objects are soaps. Which one of the following options can be logically inferred? Correct Answer Only conclusion I and conclusion III are correct

Explanation-

Statement 1: Some soaps are clean.

Statement 2: All clean objects are wet.

From the above two statements, the Venn diagram can be drawn as-

[ alt="F4 Savita Engineering 11-4-22 D1" src="//storage.googleapis.com/tb-img/production/22/04/F4_Savita_Engineering_11-4-22_D1.png" style="width: 180px; height: 103px;">

[ alt="F4 Savita Engineering 11-4-22 D2" src="//storage.googleapis.com/tb-img/production/22/04/F4_Savita_Engineering_11-4-22_D2.png" style="width: 177px; height: 103px;">

Conclusion I: Some clean objects are soaps. - It is satisfied in both the probability diagram. So it can be logically inferred.

Conclusion II: No clean object is a soap.- It is not followed.

Conclusion III: Some wet objects are soaps.-It is satisfied in both the probability diagram. So it can be logically inferred.

Conclusion IV: All wet objects are soaps.-It is not followed.

So only conclusions I and III can be logically inferred.

 

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