Y _ _
W _ L L
H _ V _
T _
L _ _
_ W _ K _
F _ R
1
H _ _ R
T _
B _
S _ R _
_ F
T H _
T _ M _ .
T H _
S T R _ K _
Y _ _
H _ _ R D
W _ S
_ _ T H _ R
1 : 0 0
A M
_ R
S _ M _
H _ L F
H _ _ R .
I F ,
_ F T _ R
_ N _ T H _ R
H _ L F
H _ _ R
Y _ _
H _ _ R
T W _
_ R
M _ R _
S T R _ K _ S ,
Y _ _
K N _ W
W H _ T
H _ _ R
_ T
_ S ,
B _ T
_ F
Y _ _
_ G _ _ N
H _ _ R
_ N _
S T R _ K _ ,
Y _ _
M _ Y
H _ V _
H _ _ R D
S _ C C _ S S _ V _ L Y
1 2 : 3 0
A M
_ N D
1 : 0 0
A M
_ R
1 : 0 0
A M
_ N D
1 : 3 0
A M .
A F T _ R
_ N _ T H _ R
H _ L F
H _ _ R
Y _ _
_ _ T H _ R
H _ _ R
1
S T R _ K _
( 1 : 3 0
A M )
_ R
T W _
S T R _ K _ S
( 2 : 0 0
A M ) Clue
THE IDOLS FROM LEFT TO RIGHT ARE: GOD OF DIPLOMACY, GOD OF FALSEHOOD, GOD OF TRUTH. THE GOD OF TRUTH IS NOT SEATED ON THE LEFT BECAUSE HE ALWAYS SPEAKS THE TRUTH WHEREAS THE IDOL ON THE LEFT REPLIED THAT THE GOD OF TRUTH IS SEATED AT THE CENTRE. THE GOD OF TRUTH IS ALSO NOT SEATED IN THE CENTRE AS HE ALWAYS SPEAKS THE TRUTH BUT THE IDOL AT THE CENTRE REPLIED THAT THE GOD OF DIPLOMACY IS SEATED AT THE CENTRE. THEREFORE, THE GOD OF TRUTH IS SEATED ON THE RIGHT. AS GOD OF TRUTH IS SEATED ON THE RIGHT, AND HE ALWAYS SPEAKS THE TRUTH, THEN THE THE GOD OF FALSEHOOD IS SEATED AT THE CENTRE. THE GOD OF DIPLOMACY IS SEATED ON THE LEFT AND HE HAS LIED 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) WHEN THE FIRST SERVANT COMES IN, THE KING SHOULD WRITE DOWN HIS NUMBER. FOR EACH OTHER SERVANT THAT REPORTS IN, THE KING SHOULD ADD THAT SERVANT'S NUMBER TO THE CURRENT NUMBER WRITTEN ON THE PAPER, AND THEN WRITE THIS NEW NUMBER ON THE PAPER. LET X BE THE NUMBER OF THE MISSING SERVANT AND Y BE THE NUMBER THAT THE KING HAS WRITTEN. ONCE THE FINAL SERVANT HAS REPORTED IN, THE NUMBER ON THE PAPER SHOULD EQUAL: Y = (1 + 2 + 3 + ... + 99 + 100) - X (1 + 2 + 3 + ... + 99 + 100) = 5050, SO WE CAN REPHRASE THIS TO SAY THAT THE NUMBER ON THE PAPER SHOULD EQUAL: Y = 5050 - X SO TO FIGURE OUT THE MISSING SERVANT'S NUMBER, THE KING SIMPLY NEEDS TO SUBTRACT THE NUMBER WRITTEN ON HIS PAPER FROM 5050: 5050 - Y = X (A). NEITHER (B). A POUND OF METAL IS ALWAYS MORE THAN HALF A POUND OF THE SAME METAL. (C). SIX STROKES TOOK 30 SECONDS, THEREFORE 12 STROKES WILL TAKE 60 SECONDS. BUT WHEN THE CLOCK STRUCK SIX, THERE WERE ONLY 5 INTERVALS BETWEEN STROKES, AND EACH INTERVAL WAS 30/5=6 SECONDS. BETWEEN THE FIRST AND TWELFTH STROKES THERE WILL BE 11 INTERVALS OF 6 SECONDS EACH, THEREFORE 12 STROKES WILL TAKE 66 SECONDS. (D). THERE IS ALWAYS A PLANE THAT CONTAINS ANY 3 POINTS