Final answer:
The code for 'TEACHER' following the pattern observed from 'STUDENT' written as 'RSTEDMS' is 'SZDDGEQ', which is option (b). The coding involves shifting alternate letters forward and backward in the alphabet.
Step-by-step explanation:
The correct answer is option (b) SZDDGEQ.
To determine how 'TEACHER' would be written in the same code as 'STUDENT' being coded as 'RSTEDMS', you would observe a pattern in the coding method. By comparing the letters of 'STUDENT' with 'RSTEDMS', we can infer that the coding strategy involves moving each alternate letter one step forward and the others one step backward in the alphabetical order. Applying this pattern to the word 'TEACHER', T becomes S, E becomes Z, A is coded as D (since there is no letter before A, we assume a cyclic shift to the end of the alphabet), C becomes D, H steps back to G, E goes forward to Q, and R remains as it is. Following this coding scheme, 'TEACHER' gets encoded to 'SZDDGEQ'.