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Logic Questions -- Please Help If You Can!

Logic Questions -- Please Help If You Can!

Hi again, I have two more problems just like the ones before, they are logic problems. I would appreciate it if anyone could help me with them and tell me how you got them! (Step-by-step). Thanks!

In this puzzle, you are to determine a 3-digit number (no digit repeated) by making educated guesses. After each guess, you will be given a clue about your guess. The clues: BAGELS (no digit is correct), PICO (one digit is correct but in the wrong position), and FERMI (one digit is correct and in the correct position)

The numbers:

1. 123 PICO
456 PICO
789 PICO
941 BAGELS
375 PICO
638 PICO
???

2. 198 PICO FERMI
765 BAGELS
432 PICO
129 PICO FERMI
???

Thanks again!

9 REPLIES 9

Logic Questions -- Please Help If You Can!

Ummm...I begin to become suspicious.

You have two completely worked solutions. It is time for you to show us how to do one or two.

Come on. Let's see it.

Logic Questions -- Please Help If You Can!

I can answer your first one. The answer is
267. Lets find out how to do this:
Clue 1 - 123 PICO
000
_11
2_2 (We have one right, but not in the
33_ place, so we get rid of those places)
444
555
666
777
888
999

Clue 2 - 456 PICO
000
_11
2_2
33_
_44 (Same as the first one)
5_5
66_
777
888
999

Clue - 789 PICO
000
_11
2_2
33_
_44
5_5
66_
_77 (Same as 1 and 2)
8_8
99_

Clue 4 - 941 BAGELS
2_2
33_
5_5 (No more 4s, 9s, 1s, or 0s.)
66_
_77
8_8

Clue 5 - 375 PICO
2_2
_3_
5__ (Still none in the right position...
66_ but we can get rid of some #s)
__7
8_8

Final Clue - 638 PICO
2_2
5__ (No more 3s, leaving 6 in the middle place.)
_6_
__7
8__

Answer so far: _6_

Now lets use the other clues to work with this last combinations.

Clue 1 - 123 PICO
2_2
5__ (No changes)
_6_
__7
8__

Clue 2 - 456 PICO
2_2 (Since we figured out 6 is right, 5 is gone))
_6_
__7
8__

Clue 3 - 789 PICO
2_2(No changes)
_6_
__7
8__

Clue 4 - (No Changes)

Final Clue - 638 PICO
2__ (6 is right here, so 8 is gone. Thus
_6_ 2 is in the first place. Since we can't
__7 repeat numbers, 2 is gone from the 3 spot
remains.

Answer so far: 267
Final Answer: 267

The second one is not solvable with the clues given.

Logic Questions -- Please Help If You Can!

Good work on the first one.

The second DOES have sufficient information. Take another look at it.

Logic Questions -- Please Help If You Can!

Its guess able...there are several answers(from what I can see). There is no clear-cut answer, unless you can prove it?

Logic Questions -- Please Help If You Can!

I can. Keep trying.

Logic Questions -- Please Help If You Can!

928...is that the answer?

Logic Questions -- Please Help If You Can!

It had to be the 1 both times or the 2 and the 8. I think you got it.

Logic Questions -- Please Help If You Can!

I knew before how I got my answer...but I forgot now(sleepy). Oy...
Highlighted

Logic Questions -- Please Help If You Can!

Or you can look at common numbers but that won't find the spot in which they are placed that's the fun part!