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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:
l. All phones are laptops.
ll. All pen drives are phones.
lll. All pen drives are pens.
Conclusions:
I. All pens are phones.
II. All laptops are pens.
III. All pen drives are laptops.

Option 1: Only conclusion III follows

Option 2: Only conclusions I and II follow

Option 3: Only conclusions II and III follow

Option 4: Only conclusions I and III follow


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

Correct Answer: Only conclusion III follows


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

Let's analyse the conclusions –
Conclusion (I): All pens are phones – From the Venn diagram, it is evident that the circles representing pens and phones overlap each other and have a part of their areas in common. So, from this, it can be concluded that some pens are phones. Thus, this conclusion does not follow.
Conclusion (II): All laptops are pens – From the Venn diagram, it is evident that the circles representing pens and laptops overlap each other and have a part of their areas in common. So, from this, it can be concluded that some laptops are pens. Thus, this conclusion does not follow.
Conclusion (III): All pen drives are laptops – From the Venn diagram, it is evident that the circle representing pen drives is completely overlapped by the circle representing laptops. So, from this, it can be concluded that all pen drives are laptops. Thus, this conclusion follows.

So, the only conclusion III follows. Hence, the first option is correct.

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