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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:
Some desks are trays.
Some trays are plates.
Some plates are desks.
Conclusions:
I. All desks are plates.
II. All plates are desks.
III. Some plates are trays.
IV. All trays are desks.

Option 1: Only conclusion III follows

Option 2: Only conclusion IV follows

Option 3: Only conclusion II follows

Option 4: Only conclusion I follows


Team Careers360 22nd Jan, 2024
Answer (1)
Team Careers360 23rd 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 desks are plates – From the above diagram, it is clear that only some parts of the circle that are desks overlap with the circle that is plate. So, only some desks are plates. Therefore, this conclusion does not follow.
Conclusion II: All plates are desks – From the above diagram, it is clear that only some parts of the circle that are plates overlap with the circle that is desks. So, only some plates are desks. Therefore, this conclusion does not follow.
Conclusion III: Some plates are trays – From the above diagram, it is clear that only some parts of the circle that are plates overlap with the circle that is trays. So, only some plates are trays. Therefore, this conclusion follows.
Conclusion IV: All trays are desks – From the above diagram, it is clear that only some parts of the circle that are trays overlap with the circle that is desks. So, only some trays are desks. Therefore, this conclusion does not follow.

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

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