### Brain Teasers

# Mad Ade's Blocks #2

Mad Ade is once again babysitting for family. The devil's spawn...er...three year old nephew he is watching is playing with some painted wooden blocks that have letters on the side, much like they did in teaser #15201.

Once again there are four blocks, each with a different letter on each side, making a total of 24 letters altogether.

Mad Ade noticed that the devil's...er...his nephew managed to make the following words from the four blocks.

BOXY,

BUCK,

CHAW,

DIGS,

EXAM,

FLIT,

GIRL,

JUMP,

OGRE,

OKAY,

PAWN,

ZEST

Now Mad Ade is relatively simple and once more missed the potential teaser in the situation, his mind firmly fixed on Kebabs.

Can you figure out how the letters are arranged on the 4 blocks?

Once again there are four blocks, each with a different letter on each side, making a total of 24 letters altogether.

Mad Ade noticed that the devil's...er...his nephew managed to make the following words from the four blocks.

BOXY,

BUCK,

CHAW,

DIGS,

EXAM,

FLIT,

GIRL,

JUMP,

OGRE,

OKAY,

PAWN,

ZEST

Now Mad Ade is relatively simple and once more missed the potential teaser in the situation, his mind firmly fixed on Kebabs.

Can you figure out how the letters are arranged on the 4 blocks?

### Answer

Block 1: A, B, F, J, R, and S.Block 2: D, E, L, U, W, and Y.

Block 3: C, I, M, N, O, and Z.

Block 4: G, H, K, P, T, and X.

From the word EXAM, we conclude that E and A are not on the same block.

From the word OGRE, we conclude that E and O are not on the same block.

From the word OKAY, we conclude that A and O are not on the same block.

Combining these, we conclude that A, E, and O are on different blocks. Assume that A is on block 1, E is on block 2, and O is on block 3.

From the words BOXY and EXAM, we conclude that X is not on the same block as A (block 1), E (block 2), and O (block 3), so X is on block 4.

From the words BOXY and OKAY, we conclude that Y is not on the same block as A (block 1), O (block 3), and X (block 4), so Y is on block 2.

From the word EXAM, we conclude that M is not on the same block as A (block 1), E (block 2), and X (block 4), so M is on block 3.

From the word OKAY, we conclude that K is not on the same block as A (block 1), Y (block 2), and O (block 3), so K is on block 4.

From the word BOXY, we conclude that B is not on the same block as Y (block 2), O (block 3), and X (block 4), so B is on block 1.

From the words BUCK and JUMP, we conclude that U is not on the same block as B (block 1), M (block 3), and K (block 4), so U is on block 2.

From the words PAWN and JUMP, we conclude that P is not on the same block as A (block 1), U (block 2), and M (block 3), so P is on block 4.

From the word JUMP, we conclude that J is not on the same block as U (block 2), M (block 3), and P (block 4), so J is on block 1.

From the words CHAW and BUCK, we conclude that C is not on the same block as A (block 1), U (block 2), and K (block 4), so C is on block 3.

From the words CHAW and PAWN, we conclude that W is not on the same block as A (block 1), C (block 3), and P (block 4), so W is on block 2.

From the word CHAW, we conclude that H is not on the same block as A (block 1), W (block 2), and C (block 3), so H is on block 4.

From the word PAWN, we conclude that N is not on the same block as A (block 1), W (block 2), and P (block 4), so N is on block 3.

Now, we must still have three letters for block 1, and two letters for each of the blocks 2, 3, and 4. We have the following letters left:

D, F, G, I, L, R, S, T, Z

From the words DIGS, FLIT and GIRL, we conclude that I is not on the same block as D, F, G, L, R, S, and T, so I is on the same block as Z. Furthermore, I and Z are on block 2, 3, or 4.

From the word ZEST, we conclude that Z is not on the same block as E (block 2), so Z is on block 3 or 4.

From the word OGRE, we conclude that G and R are not on the same block as E (block 2), and O (block 3), so G and R are on block 1 or 4, but not on the same block.

From the word GIRL, we conclude that I is not on the same block as G and R (block 1 or 4), so I is on block 2 or 3. Since Z is on block 3 or 4, I and Z must be on block 3. Now we have all six letters of block 3: C, I, M, N, O, and Z.

From the word GIRL, we conclude that L is not on the same block as G and R (block 1 and 4), so L is on block 2.

From the words FLIT and GIRL, we conclude that F, G, L, R, and T are not on the same block as L (block 2), and from the word ZEST, we conclude that S is not on the same block as E (block 2). So D must be on block 2.

Now we have all six letters of block 2: D, E, L, U, W, and Y.

From the words GIRL and DIGS, we conclude that G is not on the same block as R and S.

From the words FLIT and ZEST, we conclude that T is not on the same block as F and S.

Combining this, F, R, and S must be on the same block (block 1), and G and T must be on the same block (block 4).

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