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 Euphony (Posted on 2021-04-08)
If all plinks are plonks and some plunks are plinks, which of these statements must be true?

X: All plinks are plunks.
Y: Some plonks are plunks.
Z: Some plinks are not plunks.

Source: Crux Mathematicorum, 2004:

 No Solution Yet Submitted by Ady TZIDON Rating: 3.0000 (2 votes)

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 Solution | Comment 1 of 4
We're told that some plunks are plinks.  Let two such plunks be named Plantagenet and Plato.  They are plunks who happen to also be plinks.

Since all plinks are plonks, Plantagenet and Plato are plunks who are also plonks.

Therefore as demonstrated by Plantagenet and Plato, it must be true that some plonks are plunks (Y).

Edited on April 8, 2021, 7:43 am
 Posted by tomarken on 2021-04-08 07:43:18

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