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Sequence: Letter

Rule It should be quite trivial. There are one or some letters/digits/symbols/etc missing in a sequence. The solver needs to find out the missing ones to make the sequence valid. Question (1) What letter, apart from E, can be filled in the following sequence? S E Q U E N C _ (2) What letter, apart from W, can be filled in the following sequence? V?XYZ (3) What is the next letter? D U  I  I  U  I V  (4) What is the next letter? A B D O P Q [Scroll down for the answers.] Answer (1) F. The letter "F" can combine with the line to become a "E". (2) V. It can combine with the previous "V" to form a "W". (3) I. The letters are actually from the bottom half of the word "BOTTOM". (4) R. The sequence lists all the letters with an enclosed area.
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Cryptarithm: Introduction

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What is a cryptarithm? A cryptarithm (or alphametic) is a kind of mathematical puzzle where the digits in a mathematical equation are substituted by letters or other symbols. Usually, the same letter or symbol should represents the same digit. The solver needs to decode the letters or symbols and find out the encrypted valid equations. Rule 1. Change all the letters into digits so that the equation becomes valid. 2. The same letters should be the same digits. Different letters should be different digits. 3. The leftmost letter of a "number" cannot be zero (0). Note that the letter "O" does not necessarily represent zero. Question Try to solve the 20 puzzles below. (Scroll down for the answers) Answer (If you want to know how the figures are found, feel free to ask in the comment section.) (1) A=2, B=9, C=11 (2) A=8, B=9 (3) A=1, B=5 (4) A=4, B=9, C=2 (5) A=1, B=9 (6) D=1, O=5, G=3, N=0 (7) D=8, O=2, T=4, N=1 (8) A=9, I=8, O=1, H=5 (9) B=1, O=0, W=2, D=3, G=4 (10) M=...
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