Sunday Puzzle-51

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Written by Administrator

Sunday, 01 September 2013

Puzzle courtesy of Barry R. Clarke, columnist for The Daily Telegraph and international puzzle expert
Check out his new book "Mathematical Puzzles and Curiosities" on Amazon

Strange Signs

	to A	to B	to C	to D
Sign A	X	20	19	17
Sign B	19	X	18	15
Sign C	19	18	X	20
Sign D	17	19	20	X

The table shows the distances (km) given on signposts at four villages A,B,C,D to their three neighboring villages. For example, at village B the signpost gives a distance of 19 km to village A. Each signpost has exactly three numbers on it. The trouble is, the signposts have been vandalized so that only one sign gives exactly three correct distances, one gives precisely two correct, one has exactly one correct and one has no correct distances. When the signpost is corrected, no distance between two villages is repeated between another pair of villages.

Can you state the number of correct distances on each sign?

Comments (1)

	1. Written by O_x on 17:49 01 ñåíòÿáðÿ 2013 ã.
	Luckily, agent x0 and 0x came and saw the signs. They knew that, for normal kinematics,the magnitude of distances AB=BA, BC= CB, CD=DC...etc "So, the table is wrong, it should have 6 different pair of numbers." said x0. "But why? How?!" asked 0x. "easy. Just find the sign that has 3 correct distances!", said x0. Then... FOR(A=TRUE) D=0; IF(B=2) C=1 is FALSE. ELSE C=2 is FALSE. =>FALSE FOR(C=TRUE) all signs have atleast 1 correct distance. =>FALSE FOR(D=TRUE) No sign can have 2 correct distances. =>FALSE FOR(B=TRUE) =>TRUE (signB has 3 correct distances) And The Table is: X. 19 17 16 19 X. 18 15 17 18 X. 20 16 15 20 X. ...why, some crazy dudes mustve changed two '9's to '6' and one '15' to 20. O_x

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Last Updated ( Sunday, 01 September 2013 )

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Sunday Puzzle-51

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