**(1/25) A B C D E F G H I J K L M N O P R S T U V W X Y Z ?**

Q tells you that Cell 19 is J.

**(2/25) A B C D E F G H I K L M N O P R S T U V W X Y Z ?**

Q tells you that LURK is either Cells 5-10-15-20 or Cells 20-15-10-5. According to J, it must be 20-15-10-5.

**(6/25) A B C D E F G H I M N O P S T V W X Y Z ?**

L tells you that either Cell 14 or 24 is B. It also tells you that that B is adjacent to the I. If Cell 24 is B, then either Cell 18 or 23 would be I. But both of those cells are adjacent to J, and I cannot be adjacent to J, according to J. So B is in Cell 14.

**(7/25) A C D E F G H I M N O P S T V W X Y Z ?**

The important thing to gather from B is that X cannot go in Cell 12. Since all of Cells 16-18 are adjacent to Cell 12, and one of 16-18 is W, X cannot be in Cell 12 according to J. This means that the “FOX” from K cannot go 4-8-12 or 2-7-12. I cannot be in Cell 13, according to J, so “FIB” must go 2-8-14 or 4-9-14. So since the F is in either Cell 2 or 4 and “FOX” cannot go 4-8-12 or 2-7-12, you know that “FOX” must go 2-3-4 or 4-3-2. Either way, O is in Cell 3.

**(8/25) A C D E F G H I M N P S T V W X Y Z ?**

You just established that the I is in Cell 8 or 9. So according to O, A and E go in the fourth and fifth rows or vice versa. Since W is in the fourth row according to B, there’s no way to spell “NEW” with E in the bottom row. So it must be the E in the fourth row and the A in the bottom row. Since you only have three unknown cells in the fourth row and you know that two of them are E and W and you have to spell “NEW,” obviously “NEW” goes either 16-17-18 or 18-17-16. Either way E is in Cell 17.

**(9/25) A C D F G H I M N P S T V W X Y Z ?**

The multiples of 6 are 6, 12, 18, and 24. M cannot go in Cell 24, according to J, because it is adjacent to L. Since you have to spell “NEW” in the fourth row, you know that Cell 18 cannot be M. Since N is going to be either Cell 16 or 18, you know from J that M cannot be in Cell 12. So according to E, M must be in Cell 6.

**(10/25) A C D F G H I N P S T V W X Y Z ?**

M tells you that you need to find “PAY” and that Y is not in Cell 24. You know from O that A is in the bottom row, so the entire word “PAY” must be in the bottom row. 21-22-23 would work. 22-23-24 would not work, according to M. 23-22-21 would work. 24-23-22 would not work, according to J. So for sure the A is in Cell 22.

**(11/25) C D F G H I N P S T V W X Y Z ?**

You had established that “FIB” is either 4-9-14 or 2-8-14. I is the 9th letter of the alphabet, so according to A, “FIB” goes 4-9-14.

**(13/25) C D G H N P S T V W X Y Z ?**

According to K, you need to spell “FOX,” so Cell 2 is X.

**(14/25) C D G H N P S T V W Y Z ?**

X tells you that Z is the missing letter and that Cell 1 is C or H or S. Since you now for sure need to find every other letter besides Z, you can narrow down D. It is not in Cell 1, according to X. It’s not in the middle column, according to A. It’s not in Cell 11, 12, 16, or 21, according to J (all adjacent to E). I effectively tells you that Cell 24 must be C, G, or H. This means the only place for D is Cell 7.

**(15/25) C G H N P S T V W Y**

Now use similar logic for the C. A rules out the middle column. J and the location of D rule out Cells 1, 11, and 12. You know that Cells 16 and 18 are N and W or vice versa (B). You know that Cells 21 and 23 are P and Y or vice versa (M). So all that’s left for C is Cell 24.

**(16/25) G H N P S T V W Y**

You know that Cells 16 and 18 are N and W or vice versa (B). You know that Cells 21 and 23 are P and Y or vice versa (M). You know that Cells 8 and 13 are N or later in the alphabet. This means the only cells for G and H are Cells 1, 11, and 12. G and H cannot be adjacent to each other, according to J, so one of them must go in Cell 1. According to X, it’s H.

**(17/25) G N P S T V W Y**

You know that Cells 16 and 18 are N and W or vice versa (B). You know that Cells 21 and 23 are P and Y or vice versa (M). This means that Cells 8, 11, 12, and 13 are the only cells for S and T, which cannot be adjacent, according to J. So if Cell 12 is S or T it would certainly be adjacent to the other. So Cell 12 cannot be S or T. It must be G or V. If V, then G would go in Cell 11 and S and T would still be adjacent in Cells 8 and 13. Or S and T would not be adjacent and G would be in the middle column, but it cannot be, according to A. Cell 12 cannot be V either; it must be G.

**(18/25) N P S T V W Y**

G tells you that you have to spell “YES.” Since you have to spell “PAY” in the bottom row (M), Y is either Cell 21 or 23, which means S is either Cell 11 or 13. T is also either Cell 11 or 13, according to K. So the only place for V is Cell 8.

**(19/25) N P S T W Y**

V places the T at Cell 13.

**(20/25) N P S W Y**

Since you have to spell “PET” (K), Cell 21 is P.

**(21/25) N S W Y**

Since you have to spell “PAY” (M) and “YES” (G), Y goes in Cell 23 and S goes in Cell 11.

**(23/25) N W**

The middle column has Y, so according to S, Cell 16 is W.

**(24/25) W**

Since you have to spell “NEW” (B), or since Z is not used (X) Cell 18 is N.

TRY HENRY820’S OTHER LOGIC PUZZLES!