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Planet Life (Posted on 2013-05-07) Difficulty: 2 of 5
On a distant planet, there are four forms of life: zadohs, pugwigs, kahoots, and zingzangs. All zadohs are pugwigs. Some pugwigs are kahoots. All kahoots are zingzangs.

Which of these statements must then be true.
1. Some zadohs are zingzangs.
2. Some kahoots are zadohs.
3. All kahoots are pugwigs.
4. Some zingzangs are pugwigs.
5. All zingzangs are zadohs.
6. Some zadohs are kahoots.

No Solution Yet Submitted by K Sengupta    
Rating: 1.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Set Theory (spoiler) | Comment 1 of 2
I solved this using a Venn diagram, but I can't draw one one perplexus, so:

Let Zadoh = {1}
Let Pugwigs = {1,2}
Let Kahoots = Zingzangs = {2,3}

This is consistent with our premises, and clearly only statement (4) is true.

  Posted by Steve Herman on 2013-05-07 10:47:23
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