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These are three different puzzles with a similar format - feel free to solve them separately!

1.

H, J, K, M, N, U, V, W, X, and Y are.

A, B, C, D, E, F, G, I, L, O, P, Q, R, S, T, and Z aren’t.

2.

B, D, E, F, H, I, K, L, M, N, P, R, T, U, V, W, X, Y, and Z are.

A, C, G, J, O, Q, and S aren’t.

3.

E, F, P, T, and Y are.

A, B, C, D, G, H, I, J, K, L, M, N, O, Q, R, S, U, V, W, X, and Z aren’t.

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For #1 the letters that "are" all have open tops. What I mean is from the top you could put something in the open space.

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    $\begingroup$ Right! In my head, they "will catch rainwater." $\endgroup$ – Luke Apr 1 '15 at 1:16
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For #2 the letters are all drawn starting from the letter's top left corner.

Alternatively, the letters all have a part touching the top left corner of the letter's containing rectangle.

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For #3:

the chosen letters are all formed with a single 3-way junction (in the typeface used here). Some of the excluded letters have two 3-way junctions or a 4-way junction. In a different typeface, the set might be different.

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This a community wiki answer to bring together each individual parts of the answer. Please upvote the relevant answers as well if you are upvoting this.


1. H, J, K, M, N, U, V, W, X, and Y are. A, B, C, D, E, F, G, I, L, O, P, Q, R, S, T, and Z aren’t.

The letters that "are" all have open tops. In other words can catch rainwater if used as a cup. (Maxqueue)

2. B, D, E, F, H, I, K, L, M, N, P, R, T, U, V, W, X, Y, and Z are. A, C, G, J, O, Q, and S aren’t.

The letters all have a part touching the top left corner of the letter's containing rectangle. (itriedacrab)

3. E, F, P, T, and Y are. A, B, C, D, G, H, I, J, K, L, M, N, O, Q, R, S, U, V, W, X, and Z aren’t.

The chosen letters are all formed with a single 3-way junction. (Joffan)

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