Logic Puzzle Forums Advanced Tech: "Either-Or" clues PART FOUR
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#1
08-13-2013, 08:54 PM
 BillsBayou Member Join Date: Mar 2013 Location: New Orleans Posts: 77
Advanced Tech: "Either-Or" clues PART FOUR

Either-Or Advanced Technique PART FOUR:

Continuing the many ways that Either-Or clues can be dissected (see HERE for more), I came upon this pair of clues:
1) Of Virginia and the diner who ordered the citrus chicken, one had the zinfandel and the other paid \$25.99.
2) Of the diner who ordered the sea bass and Virginia, one had the shiraz and the other paid \$27.99.

What struck me was the categories. Both could be stated as:
- Of Virginia and food, one is wine and the other price

Since wine and price were different in both clues, I knew I was looking a the limited values for Virginia:
1) Virginia is either zinfandel or shiraz
2) Virgina paid either \$25.99 or \$27.99

Very nice.

BUT WAIT! THERE'S MORE!

The food on the left side of each clue CAN NOT be either of the values on the right side of the other clue:
1) Citrus chicken is neither shiraz nor \$27.99
2) Sea bass is neither zinfandel nor \$25.99

Still not convinced of the power of these two clues? If you act now, we'll throw in these other clues for free! By using other "Either-Or" techniques, we also have these helping hands:
- Zinfandel is either \$27.99 or citrus chicken
- \$25.99 is either shiraz or citrus chicken
- Shiraz is either seabass or \$25.99
- \$27.99 is either seabass or zinfandel

I see plenty of views on these techniques, but little discussion. Is this helping, or am I just stating the obvious?
#2
11-10-2013, 04:50 PM
 Angler01 Junior Member Join Date: Feb 2013 Location: Upstate New York Posts: 2
Feedback

Is this what you are saying:

Since the Zinfandel cannot be citrus chicken, the Zinfandel must be \$27.99
Since Shiraz cannot be seabass, Shiraz must be \$25.99

Thanks for assistance.

Zinfandel is either \$27.99 or citrus chicken
- \$25.99 is either shiraz or citrus chicken
- Shiraz is either seabass or \$25.99
- \$27.99 is either seabass or zinfandel
#3
11-11-2013, 02:42 PM
 BillsBayou Member Join Date: Mar 2013 Location: New Orleans Posts: 77

I'm not sure how you come up with that. I don't see those deductions from the clues given.
#4
11-13-2013, 10:23 AM
 passel3 Member Join Date: Oct 2013 Posts: 46

Perhaps what Angler is alluding (incorrectly) to is the "And" condition implied by the clues.
You wrote these first two:
1) Virginia is either zinfandel or shiraz
2) Virgina paid either \$25.99 or \$27.99
But also, if Virginia is associated with one of the wines, the wine has to be associated with the other price, so number 1) could be expanded to include the price associated with the wine (if bought by Virginia):
1) Virginia is either (zinfandel and 27.99) or (shiraz and 25.99)

But, that doesn't mean that zinfandel must be 27.99 or that shiraz must be 25.99, nor does it mean that the zinfandel can't be citrus chicken or that shiraz can't be Sea Bass.

But it does mean if the zinfandel is 27.99, then it can't be associated with citrus chicken (and was bought by Virginia)
likewise if the shiraz is 25.99 it can't be associated with Sea Bass (and was bought by Virginia).

Last edited by passel3; 11-13-2013 at 10:34 AM.

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