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Question : Directions: Three statements are given, followed by four conclusions numbered I, II, III, and IV. 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:
I. Some coolers are mixers.
II. Some mixers are scissors.
III. Some scissors are knives.
Conclusions:
I. Some knives are mixers.
II. Some scissors are coolers.
III. Some knives are coolers.
IV. No knife is a mixer.

Option 1: Only conclusions III and IV follow

Option 2: Only conclusions I and III follow

Option 3: None of the conclusions follow

Option 4: Only conclusions II and IV follow


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 12th Jan, 2024

Correct Answer: None of the conclusions follow


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

Let's analyse the conclusions –
Conclusion (I): Some knives are mixers – From the above Venn diagram, we can see that there is no direct relation between the circles knives and mixers. So, this conclusion doesn't follow.
Conclusion (II): Some scissors are coolers – From the above Venn diagram, we can see that there is no definite relation between the circles of scissors and coolers. So, this conclusion doesn't follow.
Conclusion (III): Some knives are coolers – From the above Venn diagram, we can see that there is no definite relation between the circles of knives and coolers. So, this conclusion doesn't follow.
Conclusion (IV): No knife is a mixer – From the above Venn diagram, there is no direct relation between the circles of the knife and the mixer. So, nothing definite can be drawn from this. Thus, this conclusion doesn't follow.

So, none of the conclusions follow. Hence, the third option is correct.

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