Three thermometers each have a scale of ten numbers (top to bottom). Scale 1: 1, 3, 4, 2, 4, 5, 3, 1, 5, 2. Scale 2: 4, 1, 3, 5, 1, 2, 4, 3, 2, 5. Scale 3: 5, 2, 4, 2, 3, 1, 4, 1, 5, 3. At present the mercury levels are at the 5th mark (value 4) in thermometer 1, the 6th mark (value 2) in thermometer 2 and the 5th mark (value 3) in thermometer 3. For each mark that one thermometer rises, another must fall one mark, and vice versa. If the three thermometers are balanced so that they all read the same number, what is that number? Answer with a natural number.
Nine candles carry the numbers 1 to 9 three times each in three rows (top to bottom). Reading left to right, the candles carry: 3-4-1, 5-8-3, 9-1-6, 7-9-5, 8-7-4, 2-6-8, 1-5-2, 6-3-9, 4-2-7. Blow out three candles so that the three numbers left in each of the three rows total 15 and the three candles carry the numbers 1 to 9 between them (no number twice). Counting the candles from 1 to 9 from the left, what is the total of the positions of the three candles? Answer with a natural number.
The letters of the alphabet must form a chain A, B, C, ... Z in which each letter is a chess-knight move from the previous one. The eight remaining letters C, D, E, M, N, O, P and Z have to be placed in the empty squares of the cross-shaped grid shown. Which letter goes in the empty square at the left end of the bottom row (the row containing R and I)? Answer with a single capital letter (English alphabet A-Z).