If TOUR is coded as 1234, CLEAR is coded 56784 and SPARE as 90847, how will…

Concept: In a letter-to-number coding question, every letter used in the given code words is fixed to one specific digit (0-9), and that same digit is used for that letter every time it recurs -- including in a different word. Comparing the codes of the words that share letters lets you build up a complete letter-to-digit key, which can then be applied to any new word made from those letters.

Application:

1. TOUR -> 1234, so T = 1, O = 2, U = 3, R = 4.

2. CLEAR -> 56784: R already equals 4 and is the last letter of CLEAR, matching the last digit of 56784, so the alignment holds; hence C = 5, L = 6, E = 7, A = 8, R = 4.

3. SPARE -> 90847: A, R and E are already known as 8, 4 and 7, and they match the last three digits of 90847, confirming the alignment again; hence S = 9, P = 0, A = 8, R = 4, E = 7.

4. Putting all ten assignments together gives the key: T=1, O=2, U=3, R=4, C=5, L=6, E=7, A=8, S=9, P=0.

5. SCULPTURE is built from the letters S, C, U, L, P, T, U, R, E; substituting each with its digit from the key gives 9, 5, 3, 6, 0, 1, 3, 4, 7 in order -- the code 953601347.

Cross-check:

Every letter common to two of the three given words maps to the same digit in both codes -- R is 4 in TOUR, CLEAR and SPARE; A and E are 8 and 7 in both CLEAR and SPARE -- so the key is internally consistent. Re-encoding SCULPTURE letter by letter with this key reproduces 953601347.