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"It's been weeks. This is taking too long. We finally rounded up the four suspects, the four people seen ducking into nearby shops right around the time of death, got their statements and still don't know who the killer is. You were the first officer on the scene, right? You said you were nearby and saw someone with short hair and green clothes going in to the deli?"

"Right. And from other witnesses, we have that among the four, each went in to a different store: the deli, the pharmacy, the clothing store and the grocer's. Each had a different color of clothing: red, green, blue and yellow. Each was carrying something different: nothing, a shopping bag, a backpack and a briefcase. And each had a different hairstyle. The four hairstyles were different enough to be easily distinguished: short, long, bald and a mohawk."

"All we really have to go on are their hazy memories though.

Arden said, 'I was coming back from getting my mohawk done, but I don't remember where I went, not the grocer's though. ... I saw a couple other people walking around. One heading for the pharmacy had long hair. The other was wearing green.'

Blair said, 'I went to the grocer's that day. The only other thing I remember is seeing someone with yellow clothes carrying a shopping bag.'

Channing said, 'I remember going to the clothing store. ... I don't think I was carrying anything at the time. The only other person I saw was carrying a briefcase into the pharmacy.'

Devon said 'I wasn't wearing red that day. ... I saw someone with empty hands. They weren't wearing red either. ... There was also someone with a backpack and short hair.'"

"That's not much to go on, but it has to be one of them. They were the only ones in the right place at the right time."

"Yeah. Something about this doesn't add up though. Someone's lying and I have a feeling whoever it is is the killer."

Who was the killer?

This is version 2. The first version had a significant error that meant there was no solution.

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    $\begingroup$ Just in case the logic-grid tag is actually relevant, here you go :-) $\endgroup$
    – Bass
    Sep 10, 2020 at 13:08
  • $\begingroup$ I can't believe this. I checked this a dozen times, but somehow there's still two solutions. :P $\endgroup$ Sep 10, 2020 at 17:31
  • $\begingroup$ In case you decide to rewrite, maybe change the hairstyles to some other property; a hairstyle is easy to verify during an interview. $\endgroup$
    – Bass
    Sep 10, 2020 at 17:43
  • $\begingroup$ It's been several weeks, so hairstyles might have changed, but yeah, good point. $\endgroup$ Sep 10, 2020 at 17:55
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    $\begingroup$ I’m voting to close this question because I've uploaded a newer version with corrections. $\endgroup$ Sep 11, 2020 at 4:43

3 Answers 3

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I think the killer is

C (channing )

imgur is slow

May be other solutions are also possible , I didn't checked them

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  • $\begingroup$ If OP marks this as correct I won't submit my answer, since I came up with a very different conclusion and I'm worried I did it wrong. $\endgroup$
    – Sciborg
    Sep 10, 2020 at 10:20
  • $\begingroup$ This isn't the intended solution, but your logic is sound, so I'll accept this answer and post a V3. $\endgroup$ Sep 11, 2020 at 4:32
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There's one other possibility from Aakash's answer, though it's a little lateral thinking:

The first officer on scene is the culprit. If we ignore his statements about the person entering the deli, we can construct a consistent grid for the four people from all of their statements:

A went to the deli, wore yellow, had a mohawk, and carried a bag. B went to the grocer, wore red, had short hair, and carried a backpack. C went to the clothing store, wore green, was bald, and carried nothing. D went to the pharmacy, wore blue, had long hair, and carried a briefcase

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  • $\begingroup$ I just came to the same conclusion. It was a bit suspicious to me that the first officer also is presented as a witness. $\endgroup$
    – Florian F
    Sep 10, 2020 at 15:10
  • $\begingroup$ rto13(Guvf vf gur vagraqrq nafjre, gubhtu V nccneragyl zrffrq vg hc ntnva. V'yy cbfg n I3, fb vs lbh nafjre gung (vg fubhyq or irel fvzvyne), V'yy npprcg lbhe nafjre gurer.) $\endgroup$ Sep 11, 2020 at 4:34
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I found three possible solutions, all fit the statements (given that one person is lying):
1. The cop is lying and therefore is the murderer:
Arden MOHAWK DELI YELLOW SHOP_BAG
Blair SHORT GROCER RED BACKPACK
Channing BALD CLOTHING GREEN NOTHING
Devon LONG PHARMACY BLUE BRIEFCASE

2. Channing is lying and therefore is the murderer:
Arden MOHAWK CLOTHING RED BRIEFCASE
Blair BALD GROCER BLUE NOTHING
Channing SHORT DELI GREEN BACKPACK
Devon LONG PHARMACY YELLOW SHOP_BAG

3. Channing is lying and therefore is the murderer (slightly different solution):
Arden MOHAWK CLOTHING BLUE NOTHING
Blair BALD GROCER RED BRIEFCASE
Channing SHORT DELI GREEN BACKPACK
Devon LONG PHARMACY YELLOW SHOP_BAG

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