Can you complete this Magic Square, so that the rows, columns, and diagonals add up in every case to 505?
| 91 | 2 | 3 | 97 | 6 | 95 | 94 | 8 | 9 | 100 |
| 20 | 16 | 15 | 81 | ||||||
| 21 | 25 | 26 | 30 | ||||||
| 60 | 66 | 65 | 41 | ||||||
| 50 | 49 | 48 | 57 | 55 | 56 | 54 | 43 | 42 | 51 |
| 61 | 59 | 58 | 47 | 45 | 46 | 44 | 53 | 52 | 40 |
| 31 | 35 | 36 | 70 | ||||||
| 80 | 75 | 76 | 71 | ||||||
| 90 | 86 | 85 | 11 | ||||||
| 1 | 99 | 98 | 4 | 96 | 5 | 7 | 93 | 92 | 10 |
We have given you a substantial start, and, as a further hint, as all the numbers in the first and last columns end in 0 or 1, so in the two next columns all end in 2 or 9, in the two next in 3 or 8, in the two next in 4 or 7, and in the two central columns in 5 or 6.
6
HALLAM’S UNSOLVED ENIGMA
I sit on a rock while I’m raising the wind,
But the storm once abated I’m gentle and kind.
I’ve Kings at my feet, who await but my nod
To kneel in the dust on the ground I have trod.
Though seen to the world, I am known to but few,
The Gentile detests me, I’m pork to the Jew.
I never have passed but one night in the dark,
And that was with Noah alone in the ark.
My weight is three pounds, my length is a mile.
And when I’m discovered you’ll say, with a smile,
That my first and my last are the pride of this isle.
No. XIII.—A SINGULAR MAGIC SQUARE
In this Magic Square, not only do the rows, columns, and diagonals add up to 260, but this same number is produced in three other and quite unusual ways:—
| 18 | 63 | 4 | 61 | 6 | 59 | 8 | 41 |
| 49 | 32 | 51 | 14 | 53 | 12 | 39 | 10 |
| 2 | 47 | 36 | 45 | 22 | 27 | 24 | 57 |
| 33 | 16 | 35 | 46 | 21 | 28 | 55 | 26 |
| 31 | 50 | 29 | 20 | 43 | 38 | 9 | 40 |
| 64 | 17 | 30 | 19 | 44 | 37 | 42 | 7 |
| 15 | 34 | 13 | 52 | 11 | 54 | 25 | 56 |
| 48 | 1 | 62 | 3 | 60 | 5 | 58 | 23 |