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Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some machines are coolers.
All coolers are robots.
Some microwaves are coolers.
Conclusions:
I. Some coolers are machines.
II. Some robots are machines.
III. No robot is a microwave.

Option 1: Either conclusion I or III follows

Option 2: Only conclusions I and III follow

Option 3: Only conclusions I and II follow

Option 4: All of the conclusion follows


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 7th Jan, 2024

Correct Answer: Only conclusions I and II follow


Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): Some coolers are machines – From the Venn diagram, the circle of the cooler intersects the circle of the machine and has a common area between them. Therefore, this conclusion is true.
Conclusion (I): Some robots are machines – From the Venn diagram, the circle of the robot intersects the circle of the machine and has a common area between them. Therefore, this conclusion is true.
Conclusion (I): No robot is a microwave – From the Venn diagram, there is no negative relation between a robot and a microwave. Therefore, this conclusion is false.

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

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