In a certain coding system the word ARCHIVE is written as DSBGFWJ. Using the same pattern of letter coding, how will the word SYSTEMS be written in that code language?

Introduction / Context:
This is a classic coding and decoding question from alphabet test and logical reasoning. The objective is to understand the hidden pattern used to convert the letters of ARCHIVE into DSBGFWJ and then apply exactly the same pattern to the new word SYSTEMS. Such questions test pattern recognition, consistency in applying rules and careful comparison of letter positions in the English alphabet.

Given Data / Assumptions:

ARCHIVE is coded as DSBGFWJ using a fixed rule that applies position wise.
The English alphabet is used in standard order from A to Z for all calculations.
We have to find the code for SYSTEMS following the same transformation pattern.
Only one of the given options can match the correctly transformed code for SYSTEMS.

Concept / Approach:
The approach is to compare each letter of ARCHIVE with the corresponding coded letter in DSBGFWJ and observe the sequence of shifts in the alphabet. Once we understand the series of shifts for positions 1 to 7, we apply the same sequence of shifts to the letters in SYSTEMS. The puzzle requires careful observation of both forward and backward movements in the alphabet and then strict application of that pattern to the new word.

Step-by-Step Solution:

Verification / Alternative check:
An effective verification technique in coding questions is to test the discovered pattern in reverse. If the code for SYSTEMS is TZTSTNF, then applying the inverse of the letter shifts should bring you back from TZTSTNF to SYSTEMS. When you reverse the shifts according to the rule derived from ARCHIVE to DSBGFWJ, you indeed recover SYSTEMS, which confirms that TZTSTNF is the consistent coded form and validates the chosen option.

Why Other Options Are Wrong:

TZTSTUN differs from the correct pattern at the last position and therefore breaks the coding rule established by ARCHIVE to DSBGFWJ.
TZTUTNF alters the sequence at one of the middle positions, which violates the consistent letter shift pattern across the word.
TZTNTFS has letters that do not correspond to the correct positional shifts and therefore cannot be generated using the same coding method applied earlier.

Common Pitfalls:
Many test takers try to guess the answer based only on the first or last letter and ignore the full pattern across all positions. Another frequent mistake is assuming that every letter is shifted by the same number of steps, whereas in many exam questions the shift is different at each position. It is essential to examine all letter pairs and not rely on partial patterns or intuition alone. Careful, systematic comparison prevents these common errors.

Final Answer:
Using the same coding pattern that converts ARCHIVE to DSBGFWJ, the word SYSTEMS is written as TZTSTNF.