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09-11-2000
03:00 AM

09-11-2000
03:00 AM

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!

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9 REPLIES 9

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09-11-2000
03:00 AM

09-11-2000
03:00 AM

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.

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.

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10-25-2000
03:00 AM

10-25-2000
03:00 AM

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.

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.

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10-25-2000
03:00 AM

10-25-2000
03:00 AM

Logic Questions -- Please Help If You Can!

Good work on the first one.

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

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

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10-26-2000
03:00 AM

10-26-2000
03:00 AM

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?

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10-26-2000
03:00 AM

10-26-2000
03:00 AM

Logic Questions -- Please Help If You Can!

I can. Keep trying.

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10-27-2000
03:00 AM

10-27-2000
03:00 AM

Logic Questions -- Please Help If You Can!

928...is that the answer?

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10-27-2000
03:00 AM

10-27-2000
03:00 AM

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.

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10-27-2000
03:00 AM

10-27-2000
03:00 AM

Logic Questions -- Please Help If You Can!

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

Highlighted
##

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02-23-2001
03:00 AM

02-23-2001
03:00 AM

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!

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