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 Bulls and Cows (Posted on 2005-03-01)
A and B are playing the game of bulls and cows. The rules of the game are as follows.

A selects a word with distinct letters and B has to find it. B is allowed a maximum of ten guesses. After every guess A tells B the number of Bulls and Cows in the word.

Bulls are letters which appear in the correct location, and cows are letters which appear, but not in their correct location

For example, if A selects a word BOLD while B guesses LOUD. Then A's reply would be 2 Bulls and 1 Cow.(O and D are in the correct place while L is not). Note that A only tells the number of Bulls and Cows. He does not tells which ones are cows and bulls.

A selected a six letter word. The game proceeded as follows:

1. FRIEND - 0 Bulls, 2 Cows
2. SQUARE - 0 Bulls, 2 Cows
3. GROUND - 0 Bulls, 3 Cows
4. FORMAT - 1 Bull, 0 Cows
5. TRAVEL - 1 Bull, 1 Cow
6. FORMAL - 0 Bulls, 0 Cows
7. FLIGHT - 2 Bulls, 0 Cows
8. SYMBOL - 0 Bulls, 1 Cow
9. FIGURE - 0 Bulls, 3 Cows

What is A's word?

(Assume that A's word is a valid English word and has 6 distinct letters.)

 See The Solution Submitted by Sandeep Rating: 4.4286 (7 votes)

 Subject Author Date Solution Math Man 2013-06-04 21:45:42 Answer K Sengupta 2008-03-04 05:09:31 re(3): Solution jenny 2005-03-12 03:08:14 re(2): Solution Sachin 2005-03-12 03:01:39 re: Solution jenny 2005-03-12 02:52:15 No Subject Rex 2005-03-03 07:46:17 Solution larry 2005-03-02 01:32:33 Solution verified. john 2005-03-01 15:18:18 solution Avin 2005-03-01 14:59:19 Solution lauren 2005-03-01 14:47:12

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