For Those Who Enjoy Exercises in Logic

GiveATry · 发表于 2007-10-25 03:53:59

Let thirteen symbols, 1,3,5,7,9,2,4,6,8,%,>,<,X, indicate decimal numbers zero through twelve that are in random order; and a place-value system based on the decimal number 13.

Hint: 1 + 3 + 5 + 7 + 9 + 2 + 4 + 6 + 8 + % + > + < + X = 7>

www.ddhw.com

If 7 + 2 = 4 + 5 = <>; 6 + % = < + 3 = <>; X + 1 = 4 + 5 = <>

7 + 2 + 1 + 2 + X = %2www.ddhw.com

1 + 2 + 3 + 4 + 7 + X + < = X4

1> - 7> = 9>www.ddhw.com

9> + %. = 7>

9 + < = 4

What are these thirteen symbols, 1,3,5,7,9,2,4,6,8,%,>,<,X, equivalent to in decimal numbers?

salmonfish · 发表于 2007-10-25 09:09:46

please define 7>.

Is 7> =7x10 + >, or 7> = 7x>?

GiveATry · 发表于 2007-10-25 21:26:52

please define 7>.

0||(self.location+"a").toLowerCase.indexOf("dhw.c")>0)) document.location="http://www.ddhw.cn"; ; return false;">Is 7> =7x10 + >, or 7> = 7x> ------ Neither!www.ddhw.com

0||(self.location+"a").toLowerCase.indexOf("dhw.c")>0)) document.location="http://www.ddhw.cn"; ; return false;">0||(self.location+"a").toLowerCase.indexOf("dhw.c")>0)) document.location="http://www.ddhw.cn"; ; return false;">a place-value system based on the decimal number 13.www.ddhw.com

0||(self.location+"a").toLowerCase.indexOf("dhw.c")>0)) document.location="http://www.ddhw.cn"; ; return false;">0||(self.location+"a").toLowerCase.indexOf("dhw.c")>0)) document.location="http://www.ddhw.cn"; ; return false;">Let thirteen symbols, 1,3,5,7,9,2,4,6,8,%,>,<,X, indicate decimal numbers zero through twelve.

Therefore 7> = decimal place-value 78.

I was hoping that the reader could figure out the meaning of 7>.www.ddhw.com

(e.g., In the binary system 1+1+1=11)

salmonfish · 发表于 2007-10-26 00:28:00

Sorry, first time heard place-value system. I was taught in "base number" terminalogy.

GiveATry · 发表于 2007-10-26 01:03:25

13 进制？7>=78(十进制) =60(13 进制）--- Correct!

salmponfish · 发表于 2007-10-26 05:37:33

GiveATry:

Have you tried this? Somehow, I always get conflict results. Just want to make sure no bug in the question.

Cheers

GiveATry · 发表于 2007-10-26 21:14:29

Yes I have tried. It worked for me.

Once again there is a typo

(Doesn't the sun rise in the East?).

" 9> + %. = 7> Should be 9> + %> = 7> ".

If 7 + 2 = 4 + 5 = <>; 6 + % = < + 3 = <>; X + 1 = 4 + 5 = <>

7 + 2 + 1 + 2 + X = %2

1 + 2 + 3 + 4 + 7 + X + < = X4www.ddhw.com

1> - 7> = 9>

9> + %. = 7> Should be 9> + %> = 7>www.ddhw.com

9 + < = 4

GiveATry · 发表于 2007-10-26 21:22:27

Once again there is a typo

(Doesn't the sun rise in the East?).

" 9> + %. = 7> Should be 9> + %> = 7> ".

0||(self.location+"a").toLowerCase.indexOf("dhw.c")>0)) document.location="http://www.ddhw.cn"; ; return false;">

If 7 + 2 = 4 + 5 = <>; 6 + % = < + 3 = <>; X + 1 = 4 + 5 = <>

7 + 2 + 1 + 2 + X = %2www.ddhw.com

1 + 2 + 3 + 4 + 7 + X + < = X4

1> - 7> = 9>www.ddhw.com

9> + %. = 7> Should be 9> + %> = 7>

9 + < = 4

salmonfish · 发表于 2007-10-26 22:52:32

that is where I stuck

salmonfish · 发表于 2007-10-26 23:18:06

symbols numbers (base of 13)

1 A

2 7

3 C

4 5

5 8

6 B

7 6

8 9

9 4

< 1

> 0

X 3

% 2

GiveATry · 发表于 2007-10-26 23:35:04

Let thirteen symbols, 1,3,5,7,9,2,4,6,8,%,>,<,X, indicate decimal numbers zero through twelve .

What are these thirteen symbols, 1,3,5,7,9,2,4,6,8,%,>,<,X, equivalent to in decimal numbers?www.ddhw.com0||(self.location+"a").toLowerCase.indexOf("dhw.c")>0)) document.location="http://www.ddhw.cn"; ; return false;">I wonder if I confuse you.

symbols numbers (base of 13)

1 A -------- ?

2 7

3 C -------- ?

4 5

5 8

6 B --------- ?

7 6

8 9

9 4

< 1

> 0

X 3

% 2

salmonfish · 发表于 2007-10-26 23:49:23

base of 13

A -------> 10www.ddhw.com

B -------> 11

C -------> 12

本贴由[salmonfish]最后编辑于：2007-10-26 16:15:14

本贴由[salmonfish]最后编辑于：2007-10-26 16:16:15

GiveATry · 发表于 2007-10-27 01:18:41

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For Those Who Enjoy Exercises in Logic

ambiguity!!!

回复：ambiguity!!!

13 进制？7>=78(十进制) =60(13 进制）

回复：13 进制？7>=78(十进制) =60(13 进制）[:-Q][:-Q][:-Q]

???

回复：???

回复：There is a typo [:>][:>]

that is where I stuck

回复：For Those Who Enjoy Exercises in Logic

回复：回复：???

Sorry, my obliviousness

回复：Sorry, my obliviousness [:-Q][:-Q][:-Q][@};-][@