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T W _
W _ D _ W S
H _ D
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S _ N ,
_ N D
_ _ C H
W _ D _ W
M _ R R _ _ D
T H _
S _ N
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T H _
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H _ D
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D _ _ G H T _ R
B Y
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M _ R R _ _ G _ ,
_ L L
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W _ L L
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L _ T ' S
S _ Y
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W _ D _ W ,
W 1 ,
H _ S
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S 1 .
T H _
S _ C _ N D
W _ D _ W ,
W 2
H _ S
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S _ N ,
S 2 .
W 1
M _ R R _ _ S
S 2
_ N D
H _ V _
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W 2
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S _
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2
G R _ N D M _ T H _ R S
( W 1 ,
W 2 )
W _ T H
T H _ _ R
2
G R _ N D D _ _ G H T _ R S
( D 2 ,
D 1 )
2
H _ S B _ N D S
( S 1 ,
S 2 )
W _ T H
T H _ _ R
2
W _ V _ S
( W 2 ,
W 1 )
2
F _ T H _ R S
( S 1 ,
S 2 )
W _ T H
T H _ _ R
2
D _ _ G H T _ R S
( D 2 ,
D 1 )
2
M _ T H _ R S
( W 1 , W 2 )
W _ T H
T H _ _ R
2
S _ N S
( S 1 , S 2 )
2
M _ _ D _ N S
( D 1 , D 2 )
W _ T H
T H _ _ R
2
M _ T H _ R S
( W 1 , W 2 )
2
S _ S T _ R S
( D 1 , D 2 )
W _ T H
T H _ _ R
2
( H _ L F )
B R _ T H _ R S
( S 1 , S 2 ) Clue
IF TWO WIDOWS HAD EACH A SON, AND EACH WIDOW MARRIED THE SON OF THE OTHER AND HAD A DAUGHTER BY THE MARRIAGE, ALL THE RELATIONSHIPS WILL BE FOUND TO RESULT. LET'S SAY THE FIRST WIDOW, W1, HAS A SON, S1. THE SECOND WIDOW, W2 HAS A SON, S2. W1 MARRIES S2 AND HAVE A DAUGHTER D1. W2 MARRIES S1 AND HAVE A DAUGHTER D2. SO WE HAVE: 2 GRANDMOTHERS (W1, W2) WITH THEIR 2 GRANDDAUGHTERS (D2, D1) 2 HUSBANDS (S1, S2) WITH THEIR 2 WIVES (W2, W1) 2 FATHERS (S1, S2) WITH THEIR 2 DAUGHTERS (D2, D1) 2 MOTHERS (W1,W2) WITH THEIR 2 SONS (S1,S2) 2 MAIDENS (D1,D2) WITH THEIR 2 MOTHERS (W1,W2) 2 SISTERS (D1,D2) WITH THEIR 2 (HALF) BROTHERS (S1,S2) THE QUESTION IS: WOULD YOUR BROTHER SAY THAT YOU TELL THE TRUTH? THE SOLUTION IS TO FIND A QUESTION THAT THE TWO BROTHERS WOULD ANSWER DIFFERENTLY, AND THAT DIFFERENCE WOULD THEREFORE IDENTIFY THE TWO FROM EACH OTHER. FOR THIS CASE, THE LYING BROTHER WOULD ANSWER THE ABOVE QUESTION "YES." THE TRUTHFUL BROTHER WOULD ANSWER THE SAME QUESTION "NO." ANOTHER POSSIBLE QUESTION IS: ARE YOU TWINS? ON THURSDAY. THEY CAN ONLY MAKE THIS STATEMENT DURING THE BORDER DAYS - ON THE BORDER DAY THEY TELL THE TRUTH AND ON THE NEXT DAY THEY LIE, OR VICE VERSE. FOR JAMES, HIS BORDER DAYS ARE ON THURSDAYS AND SUNDAYS. FOR JONATHAN, HIS BORDER DAYS ARE ON MONDAYS AND THURSDAYS. SO, ONLY ON THURSDAYS CAN THEY BOTH MAKE THE STATEMENT YOU WILL HAVE TO LIE AWAKE FOR 1 HOUR TO BE SURE OF THE TIME. THE STRIKE YOU HEARD WAS EITHER 1:00 AM OR SOME HALF HOUR. IF, AFTER ANOTHER HALF HOUR YOU HEAR TWO OR MORE STRIKES, YOU KNOW WHAT HOUR IT IS, BUT IF YOU AGAIN HEAR ONE STRIKE, YOU MAY HAVE HEARD SUCCESSIVELY 12:30 AM AND 1:00 AM OR 1:00 AM AND 1:30 AM. AFTER ANOTHER HALF HOUR YOU EITHER HEAR 1 STRIKE (1:30 AM) OR TWO STRIKES (2:00 AM)