If the word ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, then what will be the numerical code for the word SEARCH in the same coding scheme?

Introduction / Context:
This verbal reasoning question tests your ability to decode a consistent letter to digit substitution and then apply the discovered pattern to a new word. Such questions are common in bank and SSC exams and check both observation and systematic reasoning.

Given Data / Assumptions:
From the question we know the following coded words:
ROSE → 6821
CHAIR → 73456
PREACH → 961473
We assume that each letter corresponds to exactly one digit and that the same letter always has the same digit wherever it appears.

Concept / Approach:
The key idea is to build a mapping between letters and digits by comparing words that share letters. Once this mapping is complete, we simply replace each letter of the target word SEARCH with its corresponding digit to obtain the final code.

Step-by-Step Solution:
From ROSE = 6821, we get R → 6, O → 8, S → 2, E → 1. From CHAIR = 73456, we get C → 7, H → 3, A → 4, I → 5, and R → 6 (confirming R → 6). From PREACH = 961473, we add P → 9 and confirm R → 6, E → 1, A → 4, C → 7, H → 3 again. Now write SEARCH as S E A R C H and replace each letter using the mapping: S → 2, E → 1, A → 4, R → 6, C → 7, H → 3, giving 214673.

Verification / Alternative check:
We can quickly recheck each letter digit pair from the original codes. Every letter in SEARCH appears in at least one of the given words, so no new mapping is invented. Replacing them again independently still yields 214673, which confirms the consistency of the answer.

Why Other Options Are Wrong:
Option 246173 places 2 correctly for S but mixes the positions of digits for E and A. Option 214763 incorrectly swaps the last two digits corresponding to C and H. Option 216473 misplaces the digits for E (1) and A (4). None of these follow the exact letter to digit mapping derived above.

Common Pitfalls:
A frequent mistake is to try to guess the code visually without explicitly writing the letter digit mapping, which often leads to swapped positions. Another pitfall is assuming some pattern in the numbers themselves (like increasing or decreasing order) instead of focusing on the true logic, which is a direct letter to digit substitution across all words.

Final Answer:
Therefore, the correct numerical code for the word SEARCH in this coding scheme is 214673.