Hi everyone! Seth here with three more Order the Numbers puzzles. First, though, last week’s answers!

(X can be any number within the range of the puzzle.)

Easy:

The only even numbers from 1-5 are 2 and 4, so it either has to be 2XXX4 or 4XXX2.

The third clue says that three is second in line. So the four possible combinations are 23154, 23514, 43152, and 43512.

The second clue says that three can’t be to the right of two, so that narrows down the options to 43152 and 43512.

If one is to the left of five, the only possible order is 43152.

Medium:

Start with clue 3. The possible formations are (from the top, going clockwise) 2XX3XX or 3XX2XX.

Continue with clue 5. If one is directly counterclockwise of 2, that changes our possible combinations to 2XX3X1 or 3X12XX.

If 5 is across from 6, that changes our possible combinations to 254361, 264351, 351264, or 361254.

Clue 2 says that 2 and 4 are in the same triangle, as are 3 and 6. The only two that satisfy that are 254361 and 351264.

The only one of those that satisfy Clue 6 is 254361.

Hard:

WARNING: This solution is very logic-heavy.

9 has to be in the bottom row because 8+6+4 is only 18.

7 also has to be in the bottom row because 9+6+4 is only 19.

So the bottom row has to consist of 9, 7, and 4.

7 and 4 have to be the bottom corners because if 9 was a corner, even paired with 4 it would add up to 13. The other corners would be, at minimum, 1 and 3. This adds up to 17, which is more than the 15 the corners should add up to.

7 and 4 as the corners add up to 11, so the other corners must be 1 and 3.

The top left corner can’t be 1, so it must be 3. 4 must be the bottom right corner so 7 must be the bottom left. 1 is then the top right corner.

2 must be in the center because otherwise it would be in the same column or row as 1 or 3.

8 has to be in the middle right because otherwise it would be in the same column as 7 or 9.

6 must be the top middle because otherwise it would be in the same column as 7.

Put 5 in the last available spot. The answer is:

3 6 1

5 2 8

7 9 4

Congratulations if you solved this!

Puzzles for this week:

Easy:

Put the numbers 1-4 in a 2×2 square so:

No even number is next to another even number.

The bottom row totals more than 5.

The number 1 is in the left column.

Medium:

Put the numbers 1-7 in a line so:

The numbers on the ends are both odd.

The number in the middle is even.

Either 2 or 6 is second in line.

2 can’t be next to 1, unless 6 is next to 7.

7 is either on an end or in the middle.

The third number in line is greater than the fifth in line.

The sequence contains the numbers 4-3-6 in that order.

Hard:

Put the numbers 8-16 in a 3×3 square so:

All rows, columns, and diagonals add up to 36.

One diagonal has the numbers 11, 12, and 13.

One row has the numbers 14, 12, and 10.

15 is the top left corner.

#### Seth Casel

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