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Question : Directions: Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).
Statements:
I. Some ships are cups.
II. No cup is a stool.
III. All windows are cups.
Conclusions:
I. Some ships being windows is a possibility.
II. No window is a stool.
III. All cups are windows.
IV. No ship is a stool.

Option 1: Only conclusions I, II and IV follow

Option 2: Only conclusions II and III follow

Option 3: Only conclusions I and II follow

Option 4: Only conclusion I follows


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 6th Jan, 2024

Correct Answer: Only conclusions I and II follow


Solution : The possible Venn diagram, according to the statements given in the question –


Let's analyse each conclusion –
Conclusion I: Some ships being windows is a possibility – According to the Venn diagram, there is no definite or negative relation between ships and windows. Therefore, it is possible that the circle representing ships and windows overlaps and has a part of their area in common. Therefore, this conclusion follows.
Conclusion II: No window is a stool – According to the Venn diagram, no cups are stools and the circle of the window is completely inside the circle of cups. Therefore, this conclusion follows.
Conclusion III: All cups are windows – From the Venn diagram, it is evident that some parts of the circle representing cups lie outside the circle representing windows while some lie inside. Therefore, this conclusion does not follow.
Conclusion IV: No ship is a stool – According to the Venn diagram, there is no definite relation between a ship and a stool. Therefore, this conclusion does not follow.

So, the only conclusions I and II follow. Hence, the third option is correct.

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