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Two statements are given followed by two conclusions I and II. Consider the statements to be true even if they seem to be at variance from commonly known facts and decide which of the given conclusion(s) logically follow(s) from the given statements.Statements:1. Some fans are doors.2. All doors are windows.Conclusions:1. Some windows are fans.2. Some doors are fans.AOnly conclusion II followsBBoth conclusion I and II follow.CNeither conclusion I nor II follow.DOnly conclusion I follow.

Question

Two statements are given followed by two conclusions I and II. Consider the statements to be true even if they seem to be at variance from commonly known facts and decide which of the given conclusion(s) logically follow(s) from the given statements.Statements:1. Some fans are doors.2. All doors are windows.Conclusions:1. Some windows are fans.2. Some doors are fans.AOnly conclusion II followsBBoth conclusion I and II follow.CNeither conclusion I nor II follow.DOnly conclusion I follow.

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Solution

The answer is B. Both conclusion I and II follow.

Here's the step by step reasoning:

Statement 1: Some fans are doors. This means there is at least some overlap between fans and doors.

Statement 2: All doors are windows. This means that the entire category of doors fits within the category of windows.

Conclusion 1: Some windows are fans. This is true because some fans are doors and all doors are windows. Therefore, the fans that are doors are also windows.

Conclusion 2: Some doors are fans. This is directly stated in the first statement.

So, both conclusions logically follow from the given statements.

This problem has been solved

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