The Logic Puzzle In The Philosopher's Stone Book

The logic puzzle in The Philosopher's Stone book

Contents:

1 bottle moves you forwards

1 bottle moves you backwards

2 bottles have wine

3 bottles have poison

Clues:

Both bottles of wine have a bottle of poison at the left

Bottles 1 and 7 DON'T have the same content and 1 of them is the one that moves you backwards

Bottles 3 and 6 DON'T have poison

Bottles 2 and 6 have the same content

Solution:

Bottles of wine have bottles of poison at the left so bottle 1 isn't wine

Bottle 6 doesn't have poison so bottle 2 doesn't either. Wine is the only liquid besides poison that is in at least 2 bottles so bottles 2 and 6 are wine

Since bottles 2 and 6 are wine it means bottles 1 and 5 are poison

Since bottle 1 is poison it means bottle 7 is the one that moves you backwards

The potion that moves you forwards is the only available option for bottle 3 so bottle 3 is the one that moves you forwards

Poison is the only available option for bottle 4 so bottle 4 is poison

The divisibility rules of every number from 101 to 200

101: The difference between 10 times the last digit and the rest of the number is a multiple of 101

102: The number is a multiple of 2, 3 and 17 at the same time

103: The sum of 31 times the last digit and the rest of the number is a multiple of 103

104: The number is a multiple of 8 and 13 at the same time

105: The number is a multiple of 3, 5 and 7 at the same time

106: The number is a multiple of 2 and 53 at the same time

107: The difference between 32 times the last digit and the rest of the number is a multiple of 107

108: The number is a multiple of 4 and 27 at the same time

109: The sum of 11 times the last digit and the rest of the number is a multiple of 109

110: The number is a multiple of 10 and 11 at the same time

111: The number is a multiple of 3 and 37 at the same time

112: The number is a multiple of 7 and 16 at the same time

113: The sum of 34 times the last digit and the rest of the number is a multiple of 113

114: The number is a multiple of 2, 3 and 19 at the same time

115: The number is a multiple of 5 and 23 at the same time

116: The number is a multiple of 4 and 29 at the same time

117: The number is a multiple of 9 and 13 at the same time

118: The number is a multiple of 2 and 59 at the same time

119: The number is a multiple of 7 and 17 at the same time

120: The number is a multiple of 3 and 40 at the same time

121: The difference between 12 times the last digit and the rest of the number is a multiple of 121

122: The number is a multiple of 2 and 61 at the same time

123: The number is a multiple of 3 and 41 at the same time

124: The number is a multiple of 4 and 31 at the same time

125: The number ends in 000, 125, 250, 375, 500, 625, 750 or 875

126: The number is a multiple of 2, 7 and 9 at the same time

127: The difference between 38 times the last digit and the rest of the number is a multiple of 127

128: The last 7 digits are a multiple of 128

The 1,000,000s digit is even and the last 6 digits are a multiple of 128

The 1,000,000s digit is odd and the last 6 digits are 64 times an odd number

129: The number is a multiple of 3 and 43 at the same time

130: The number is a multiple of 10 and 13 at the same time

131: The difference between 13 times the last digit and the rest of the number is a multiple of 131

132: The number is a multiple of 3, 4 and 11 at the same time

133: The number is a multiple of 7 and 19 at the same time

134: The number is a multiple of 2 and 67 at the same time

135: The number is a multiple of 5 and 27 at the same time

136: The number is a multiple of 8 and 17 at the same time

137: The difference between 41 times the last digit and the rest of the number is a multiple of 137

138: The number is a multiple of 2, 3 and 23 at the same time

139: The sum of 14 times the last digit and the rest of the number is a multiple of 139

140: The number is a multiple of 7 and 20 at the same time

141: The number is a multiple of 3 and 47 at the same time

142: The number is a multiple of 2 and 71 at the same time

143: The number is a multiple of 11 and 13 at the same time

144: The number is a multiple of 9 and 16 at the same time

145: The number is a multiple of 5 and 29 at the same time

146: The number is a multiple of 2 and 73 at the same time

147: The number is a multiple of 3 and 49 at the same time

148: The number is a multiple of 4 and 37 at the same time

149: The sum of 15 times the last digit and the rest of the number is a multiple of 149

150: The number is a multiple of 3 and 50 at the same time

151: The difference between 15 times the last digit and the rest of the number is a multiple of 151

152: The number is a multiple of 8 and 19 at the same time

153: The number is a multiple of 9 and 17 at the same time

154: The number is a multiple of 2, 7 and 11 at the same time

155: The number is a multiple of 5 and 31 at the same time

156: The number is a multiple of 3, 4 and 13 at the same time

157: The difference between 47 times the last digit and the rest of the number is a multiple of 157

158: The number is a multiple of 2 and 79 at the same time

159: The number is a multiple of 3 and 53 at the same time

160: The last 5 digits are a multiple of 160

The 10,000s digit is even and the last 4 digits are a multiple of 160

The 10,000s digit is odd and the last 4 digits are 80 times an odd number

161: The number is a multiple of 7 and 23 at the same time

162: The number is a multiple of 2 and 81 at the same time

163: The sum of 49 times the last digit and the rest of the number is a multiple of 163

164: The number is a multiple of 4 and 41 at the same time

165: The number is a multiple of 3, 5 and 11 at the same time

166: The number is a multiple of 2 and 83 at the same time

167: The difference between 50 times the last digit and the rest of the number is a multiple of 167

168: The number is a multiple of 3, 7 and 8 at the same time

169: The sum of 17 times the last digit and the rest of the number is a multiple of 169

170: The number is a multiple of 10 and 17 at the same time

171: The number is a multiple of 9 and 19 at the same time

172: The number is a multiple of 4 and 43 at the same time

173: The sum of 52 times the last digit and the rest of the number is a multiple of 173

174: The number is a multiple of 2, 3 and 29 at the same time

175: The number is a multiple of 7 and 25 at the same time

176: The number is a multiple of 11 and 16 at the same time

177: The number is a multiple of 3 and 59 at the same time

178: The number is a multiple of 2 and 89 at the same time

179: The sum of 18 times the last digit and the rest of the number is a multiple of 179

180: The number is a multiple of 9 and 20 at the same time

181: The difference between 18 times the last digit and the rest of the number is a multiple of 181

182: The number is a multiple of 2, 7 and 13 at the same time

183: The number is a multiple of 3 and 61 at the same time

184: The number is a multiple of 8 and 23 at the same time

185: The number is a multiple of 5 and 37 at the same time

186: The number is a multiple of 2, 3 and 31 at the same time

187: The number is a multiple of 11 and 17 at the same time

188: The number is a multiple of 4 and 47 at the same time

189: The number is a multiple of 7 and 27 at the same time

190: The number is a multiple of 10 and 19 at the same time

191: The difference between 19 times the last digit and the rest of the number is a multiple of 191

192: The number is a multiple of 3 and 64 at the same time

193: The sum of 58 times the last digit and the rest of the number is a multiple of 193

194: The number is a multiple of 2 and 97 at the same time

195: The number is a multiple of 3, 5 and 13 at the same time

196: The number is a multiple of 4 and 49 at the same time

197: The difference between 59 times the last digit and the rest of the number is a multiple of 197

198: The number is a multiple of 2, 9 and 11 at the same time

199: The sum of 20 times the last digit and the rest of the number is a multiple of 199

200: The number ends in 000, 200, 400, 600 or 800

The divisibility rules of every number from 1,001 to 1,100

1,001: The number is a multiple of 7, 11 and 13 at the same time

1,002: The number is a multiple of 2, 3 and 167 at the same time

1,003: The number is a multiple of 17 and 59 at the same time

1,004: The number is a multiple of 4 and 251 at the same time

1,005: The number is a multiple of 3, 5 and 67 at the same time

1,006: The number is a multiple of 2 and 503 at the same time

1,007: The number is a multiple of 19 and 53 at the same time

1,008: The number is a multiple of 7, 9 and 16 at the same time

1,009: The sum of 101 times the last digit and the rest of the number is a multiple of 1,009

1,010: The number is a multiple of 10 and 101 at the same time

1,011: The number is a multiple of 3 and 337 at the same time

1,012: The number is a multiple of 4, 11 and 23 at the same time

1,013: The sum of 304 times the last digit and the rest of the number is a multiple of 1,013

1,014: The number is a multiple of 2, 3 and 169 at the same time

1,015: The number is a multiple of 5, 7 and 29 at the same time

1,016: The number is a multiple of 8 and 127 at the same time

1,017: The number is a multiple of 9 and 113 at the same time

1,018: The number is a multiple of 2 and 509 at the same time

1,019: The sum of 102 times the last digit and the rest of the number is a multiple of 1,019

1,020: The number is a multiple of 3, 17 and 20 at the same time

1,021: The difference between 102 times the last digit and the rest of the number is a multiple of 1,021

1,022: The number is a multiple of 2, 7 and 73 at the same time

1,023: The number is a multiple of 3, 11 and 31 at the same time

1,024: The last 10 digits are a multiple of 1,024

The 1,000,000,000s digit is even and the last 9 digits are a multiple of 1,024

The 1,000,000,000s digit is odd and the last 9 digits are 512 times an odd number

1,025: The number is a multiple of 25 and 41 at the same time

1,026: The number is a multiple of 2, 19 and 27 at the same time

1,027: The number is a multiple of 13 and 79 at the same time

1,028: The number is a multiple of 4 and 257 at the same time

1,029: The number is a multiple of 3 and 343 at the same time

1,030: The number is a multiple of 10 and 103 at the same time

1,031: The difference between 103 times the last digit and the rest of the number is a multiple of 1,031

1,032: The number is a multiple of 3, 8 and 43 at the same time

1,033: The sum of 310 times the last digit and the rest of the number is a multiple of 1,033

1,034: The number is a multiple of 2, 11 and 47 at the same time

1,035: The number is a multiple of 5, 9 and 23 at the same time

1,036: The number is a multiple of 4, 7 and 37 at the same time

1,037: The number is a multiple of 17 and 61 at the same time

1,038: The number is a multiple of 2, 3 and 173 at the same time

1,039: The sum of 104 times the last digit and the rest of the number is a multiple of 1,039

1,040: The number is a multiple of 13 and 80 at the same time

1,041: The number is a multiple of 3 and 347 at the same time

1,042: The number is a multiple of 2 and 521 at the same time

1,043: The number is a multiple of 7 and 149 at the same time

1,044: The number is a multiple of 4, 9 and 29 at the same time

1,045: The number is a multiple of 5, 11 and 19 at the same time

1,046: The number is a multiple of 2 and 523 at the same time

1,047: The number is a multiple of 3 and 349 at the same time

1,048: The number is a multiple of 8 and 131 at the same time

1,049: The sum of 105 times the last digit and the rest of the number is a multiple of 1,049

1,050: The number is a multiple of 3, 7 and 50 at the same time

1,051: The difference between 105 times the last digit and the rest of the number is a multiple of 1,051

1,052: The number is a multiple of 4 and 263 at the same time

1,053: The number is a multiple of 13 and 81 at the same time

1,054: The number is a multiple of 2, 17 and 31 at the same time

1,055: The number is a multiple of 5 and 211 at the same time

1,056: The number is a multiple of 3, 11 and 32 at the same time

1,057: The number is a multiple of 7 and 151 at the same time

1,058: The number is a multiple of 2 and 529 at the same time

1,059: The number is a multiple of 3 and 353 at the same time

1,060: The number is a multiple of 20 and 53 at the same time

1,061: The difference between 106 times the last digit and the rest of the number is a multiple of 1,061

1,062: The number is a multiple of 2, 9 and 59 at the same time

1,063: The sum of 319 times the last digit and the rest of the number is a multiple of 1,063

1,064: The number is a multiple of 7, 8 and 19 at the same time

1,065: The number is a multiple of 3, 5 and 71 at the same time

1,066: The number is a multiple of 2, 13 and 41 at the same time

1,067: The number is a multiple of 11 and 97 at the same time

1,068: The number is a multiple of 3, 4 and 89 at the same time

1,069: The sum of 107 times the last digit and the rest of the number is a multiple of 1,069

1,070: The number is a multiple of 10 and 107 at the same time

1,071: The number is a multiple of 7, 9 and 17 at the same time

1,072: The number is a multiple of 16 and 67 at the same time

1,073: The number is a multiple of 29 and 37 at the same time

1,074: The number is a multiple of 2, 3 and 179 at the same time

1,075: The number is a multiple of 25 and 43 at the same time

1,076: The number is a multiple of 4 and 269 at the same time

1,077: The number is a multiple of 3 and 359 at the same time

1,078: The number is a multiple of 2, 11 and 49 at the same time

1,079: The number is a multiple of 13 and 83 at the same time

1,080: The number is a multiple of 27 and 40 at the same time

1,081: The number is a multiple of 23 and 47 at the same time

1,082: The number is a multiple of 2 and 541 at the same time

1,083: The number is a multiple of 3 and 361 at the same time

1,084: The number is a multiple of 4 and 271 at the same time

1,085: The number is a multiple of 5, 7 and 31 at the same time

1,086: The number is a multiple of 2, 3 and 181 at the same time

1,087: The difference between 326 times the last digit and the rest of the number is a multiple of 1,087

1,088: The number is a multiple of 17 and 64 at the same time

1,089: The number is a multiple of 9 and 121 at the same time

1,090: The number is a multiple of 10 and 109 at the same time

1,091: The difference between 109 times the last digit and the rest of the number is a multiple of 1,091

1,092: The number is a multiple of 3, 4, 7 and 13 at the same time

1,093: The sum of 328 times the last digit and the rest of the number is a multiple of 1,093

1,094: The number is a multiple of 2 and 547 at the same time

1,095: The number is a multiple of 3, 5 and 73 at the same time

1,096: The number is a multiple of 8 and 137 at the same time

1,097: The difference between 329 times the last digit and the rest of the number is a multiple of 1,097

1,098: The number is a multiple of 2, 9 and 61 at the same time

1,099: The number is a multiple of 7 and 157 at the same time

1,100: The number is a multiple of 11 and 100 at the same time

50 posts!

The divisibility rules of every number from 1 to 100

1: Every number is a multiple of 1

2: The number ends in 0, 2, 4, 6 or 8

3: The sum of the digits is a multiple of 3

4: The last 2 digits are a multiple of 4

The 10s digit is even and the last digit is 0, 4 or 8

The 10s digit is odd and the last digit is 2 or 6

5: The number ends in 0 or 5

6: The number is a multiple of 2 and 3 at the same time

7: The difference between twice the last digit and the rest of the number is a multiple of 7

8: The last 3 digits are a multiple of 8

The 100s digit is even and the last 2 digits are a multiple of 8

The 100s digit is odd and the last 2 digits are 4 times an odd number

9: The sum of the digits is a multiple of 9

10: The number ends in 0

11: The difference between the last digit and the rest of the number is a multiple of 11

12: The number is a multiple of 3 and 4 at the same time

13: The sum of 4 times the last digit and the rest of the number is a multiple of 13

14: The number is a multiple of 2 and 7 at the same time

15: The number is a multiple of 3 and 5 at the same time

16: The last 4 digits are a multiple of 16

The 1,000s digit is even and the last 3 digits are a multiple of 16

The 1,000s digit is odd and the last 3 digits are 8 times an odd number

17: The difference between 5 times the last digit and the rest of the number is a multiple of 17

18: The number is a multiple of 2 and 9 at the same time

19: The sum of twice the last digit and the rest of the number is a multiple of 19

20: The number ends in 00, 20, 40, 60 or 80

21: The number is a multiple of 3 and 7 at the same time

22: The number is a multiple of 2 and 11 at the same time

23: The sum of 7 times the last digit and the rest of the number is a multiple of 23

24: The number is a multiple of 3 and 8 at the same time

25: The number ends in 00, 25, 50 or 75

26: The number is a multiple of 2 and 13 at the same time

27: The difference between 8 times the last digit and the rest of the number is a multiple of 27

28: The number is a multiple of 4 and 7 at the same time

29: The sum of thrice the last digit and the rest of the number is a multiple of 29

30: The number is a multiple of 3 and 10 at the same time

31: The difference between thrice the last digit and the rest of the number is a multiple of 31

32: The last 5 digits are a multiple of 32

The 10,000s digit is even and the last 4 digits are a multiple of 32

The 10,000s digit is odd and the last 4 digits are 16 times an odd number

33: The number is a multiple of 3 and 11 at the same time

34: The number is a multiple of 2 and 17 at the same time

35: The number is a multiple of 5 and 7 at the same time

36: The number is a multiple of 4 and 9 at the same time

37: The difference between 11 times the last digit and the rest of the number is a multiple of 37

38: The number is a multiple of 2 and 19 at the same time

39: The number is a multiple of 3 and 13 at the same time

40: The last 3 digits are a multiple of 40

The 100s digit is even and the last 2 digits are 00, 40 or 80

The 100s digit is odd and the last 2 digits are 20 or 60

41: The difference between 4 times the last digit and the rest of the number is a multiple of 41

42: The number is a multiple of 2, 3 and 7 at the same time

43: The sum of 13 times the last digit and the rest of the number is a multiple of 43

44: The number is a multiple of 4 and 11 at the same time

45: The number is a multiple of 5 and 9 at the same time

46: The number is a multiple of 2 and 23 at the same time

47: The difference between 14 times the last digit and the rest of the number is a multiple of 47

48: The number is a multiple of 3 and 16 at the same time

49: The sum of 5 times the last digit and the rest of the number is a multiple of 49

50: The number ends in 00 or 50

51: The number is a multiple of 3 and 17 at the same time

52: The number is a multiple of 4 and 13 at the same time

53: The sum of 16 times the last digit and the rest of the number is a multiple of 53

54: The number is a multiple of 2 and 27 at the same time

55: The number is a multiple of 5 and 11 at the same time

56: The number is a multiple of 7 and 8 at the same time

57: The number is a multiple of 3 and 19 at the same time

58: The number is a multiple of 2 and 29 at the same time

59: The sum of 6 times the last digit and the rest of the number is a multiple of 59

60: The number is a multiple of 3 and 20 at the same time

61: The difference between 6 times the last digit and the rest of the number is a multiple of 61

62: The number is a multiple of 2 and 31 at the same time

63: The number is a multiple of 7 and 9 at the same time

64: The last 6 digits are a multiple of 64

The 100,000s digit is even and the last 5 digits are a multiple of 64

The 100,000s digit is odd and the last 5 digits are 32 times an odd number

65: The number is a multiple of 5 and 13 at the same time

66: The number is a multiple of 2, 3 and 11 at the same time

67: The difference between 20 times the last digit and the rest of the number is a multiple of 67

68: The number is a multiple of 4 and 17 at the same time

69: The number is a multiple of 3 and 23 at the same time

70: The number is a multiple of 7 and 10 at the same time

71: The difference between 7 times the last digit and the rest of the number is a multiple of 71

72: The number is a multiple of 8 and 9 at the same time

73: The sum of 22 times the last digit and the rest of the number is a multiple of 73

74: The number is a multiple of 2 and 37 at the same time

75: The number is a multiple of 3 and 25 at the same time

76: The number is a multiple of 4 and 19 at the same time

77: The number is a multiple of 7 and 11 at the same time

78: The number is a multiple of 2, 3 and 13 at the same time

79: The sum of 8 times the last digit and the rest of the number is a multiple of 79

80: The last 4 digits are a multiple of 80

The 1,000s digit is even and the last 3 digits are a multiple of 80

The 1,000s digit is odd and the last 3 digits are 40 times an odd number

81: The difference between 8 times the last digit and the rest of the number is a multiple of 81

82: The number is a multiple of 2 and 41 at the same time

83: The sum of 25 times the last digit and the rest of the number is a multiple of 83

84: The number is a multiple of 3, 4 and 7 at the same time

85: The number is a multiple of 5 and 17 at the same time

86: The number is a multiple of 2 and 43 at the same time

87: The number is a multiple of 3 and 29 at the same time

88: The number is a multiple of 8 and 11 at the same time

89: The sum of 9 times the last digit and the rest of the number is a multiple of 89

90: The number is a multiple of 9 and 10 at the same time

91: The number is a multiple of 7 and 13 at the same time

92: The number is a multiple of 4 and 23 at the same time

93: The number is a multiple of 3 and 31 at the same time

94: The number is a multiple of 2 and 47 at the same time

95: The number is a multiple of 5 and 19 at the same time

96: The number is a multiple of 3 and 32 at the same time

97: The difference between 29 times the last digit and the rest of the number is a multiple of 97

98: The number is a multiple of 2 and 49 at the same time

99: The number is a multiple of 9 and 11 at the same time

100: The number ends in 00

Gal Gadot. The 8th actress with the best legs ever in my opinion (behind Mayim Bialik, Kaley Cuoco, Melissa Rauch, Emma Watson, Kate Winslet, Jennifer Aniston and Jennifer Lawrence)

I really wish I could touch her legs