A
2
3
4
5
6
7
8

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Place two and three beyond eight;
Place five and six between one and four;
Place eight and two between four and seven;
Place one and five between seven and three.

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No. LXVIII

You can in a moment tell the number chosen on these cards, when you are told on which of them it appears,

I. II. III. IV.
1336597 2346698 43668100 84072104
3356799 3356799 53769101 94173105
53769101 63870102 63870102 104274106
73971103 73971103 73971103 114375107
94173105 104274106 124476108 124476108
114375107 114375107 134577109 134577109
134577109 144678110 144678110 144678110
154779111 154779111 154779111 154779111
174981113 185082114 205284116 245688120
195183115 195183115 215385117 255789121
215385117 225486118 225486118 265890122
235587119 235587119 235587119 275991123
255789121 265890122 286092124 286092124
275991123 275991123 296193125 296193125
296193125 306294126 306294126 306294126
316395127 316395127 316395127 316395127
V. VI. VII.
164880112 324896112 648096112
174981113 334997113 658197113
185082114 345098114 668298114
195183115 355199115 678399115
205284116 3652100116 6884100116
215385117 3753101117 6985101117
225486118 3854102118 7086102118
235587119 3955103119 7187103119
245688120 4056104120 7288104120
255789121 4157105121 7389105121
265890122 4258106122 7490106122
275991123 4359107123 7591107123
286092124 4460108124 7692108124
296193125 4561109125 7793109125
306294126 4662110126 7894110126
316395127 4763111127 7995111127

[Image]

by adding together the numbers at the top left-hand corner of these.