2 5
_ G G S
W _ R _
B R _ K _ N .
T H _ R _
_ S
_ N L Y
_ N _
W _ Y
_ F
F _ N D _ N G
_
S _ L _ T _ _ N
T _
T H _ S
P R _ B L _ M :
N _ M B _ R S
W H _ C H
L _ _ V _
_
R _ M _ _ N D _ R
_ F
1 ,
W H _ N
D _ V _ D _ D
B Y
2 :
3 ,
5 ,
7 ,
9 ,
1 1 ,
1 3 ,
1 5 ,
1 7 ,
1 9 ,
2 1 ,
2 3 ,
2 5 ,
2 7 ,
2 9 ,
3 1 ,
3 3 ,
3 5
N _ M B _ R S
W H _ C H
L _ _ V _
_
R _ M _ _ N D _ R
_ F
1 ,
W H _ N
D _ V _ D _ D
B Y
3 :
4 ,
7 ,
1 0 ,
1 3 ,
1 6 ,
1 9 ,
2 2 ,
2 5 ,
2 8 ,
3 1 ,
3 4 ,
3 7
N _ M B _ R S
W H _ C H
L _ _ V _
_
R _ M _ _ N D _ R
_ F
1 ,
W H _ N
D _ V _ D _ D
B Y
4 :
5 ,
9 ,
1 3 ,
1 7 ,
2 1 ,
2 5 ,
2 9 ,
3 3 ,
3 7
N _ M B _ R S
W H _ C H
L _ _ V _
N _
R _ M _ _ N D _ R
W H _ N
D _ V _ D _ D
B Y
5 :
5 ,
1 0 ,
1 5 ,
2 0 ,
2 5 ,
3 0 ,
3 5
T H _
_ N L Y
N _ M B _ R
F _ L F _ L L _ N G
T H _
F _ _ R
C _ N D _ T _ _ N S
_ S
2 5 Clue
LET: CAMPER 1 = C1 (1) CAMPER 2 = C2 (2) CAMPER 3 = C3 (5) CAMPER 4 = C4 (10) THIS IS HOW THEY CROSS THE BRIDGE: C1,C2 → (2) ← C2 (2) C3,C4 → (10) ← C1 (1) C1,C2 → (2) THE TIME IN BRACKETS () INDICATE THE TIME TAKEN TO CROSS THE BRIDGE. IF YOU SUM THEM UP, IT WILL ADD UP TO 17 MINUTES 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 HE HAD 15 EGGS. THE FIRST PERSON BOUGHT HALF OF THE 15 EGGS WHICH IS 7½ EGGS AND ANOTHER ½ EGG. SO HE BOUGHT 8 EGGS IN TOTAL AND JACK IS LEFT WITH 7 EGGS. THE SECOND PERSON BOUGHT HALF OF THE REMAINING 7 EGGS WHICH IS 3½ EGGS AND ANOTHER ½ EGG. SO HE BOUGHT 4 EGGS AND JACK IS LEFT WITH 3 EGGS. THE LAST PERSON BOUGHT HALF OF THE REMAINING 3 EGGS WHICH IS 1½ EGGS AND ANOTHER ½ EGG. SO THE LAST PERSON BOUGHT 2 EGGS. THAT LEAVES 1 EGG REMAINING IN JACK'S BASKET 25 EGGS WERE BROKEN. THERE IS ONLY ONE WAY OF FINDING A SOLUTION TO THIS PROBLEM: NUMBERS WHICH LEAVE A REMAINDER OF 1, WHEN DIVIDED BY 2: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35 NUMBERS WHICH LEAVE A REMAINDER OF 1, WHEN DIVIDED BY 3: 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37 NUMBERS WHICH LEAVE A REMAINDER OF 1, WHEN DIVIDED BY 4: 5, 9, 13, 17, 21, 25, 29, 33, 37 NUMBERS WHICH LEAVE NO REMAINDER WHEN DIVIDED BY 5: 5, 10, 15, 20, 25, 30, 35 THE ONLY NUMBER FULFILLING THE FOUR CONDITIONS IS 25