Understanding the Coding Language

The problem asks us to decode a word based on a specific rule applied to another word. We are given that in a certain code language, the word ESTEEM is written as HVWHHP. We need to find out how the word DOCTOR will be written in the same code language.

First, let's analyze the transformation from ESTEEM to HVWHHP. We can look at the position of each letter in the English alphabet.

Analyzing the Code for ESTEEM

Let's compare the letters of ESTEEM with their corresponding letters in HVWHHP and see the shift:

• The first letter of ESTEEM is E. The first letter of HVWHHP is H. The shift from E to H is \(+3\) positions in the alphabet (E is the 5th letter, H is the 8th letter, \(5+3=8\)).
• The second letter of ESTEEM is S. The second letter of HVWHHP is V. The shift from S to V is \(+3\) positions (S is the 19th, V is the 22nd, \(19+3=22\)).
• The third letter of ESTEEM is T. The third letter of HVWHHP is W. The shift from T to W is \(+3\) positions (T is the 20th, W is the 23rd, \(20+3=23\)).
• The fourth letter of ESTEEM is E. The fourth letter of HVWHHP is H. The shift from E to H is \(+3\) positions (E is the 5th, H is the 8th, \(5+3=8\)).
• The fifth letter of ESTEEM is E. The fifth letter of HVWHHP is H. The shift from E to H is \(+3\) positions (E is the 5th, H is the 8th, \(5+3=8\)).
• The sixth letter of ESTEEM is M. The sixth letter of HVWHHP is P. The shift from M to P is \(+3\) positions (M is the 13th, P is the 16th, \(13+3=16\)).

It appears that the code language uses a simple rule: each letter in the original word is shifted forward by 3 positions in the English alphabet to get the corresponding letter in the coded word. This is a consistent pattern for all letters in ESTEEM.

Applying the Code Rule to DOCTOR

Now, we will apply this same rule (shifting each letter forward by 3 positions) to the word DOCTOR to find its coded form.

• The first letter of DOCTOR is D. Shift D forward by 3 positions: D \(\rightarrow\) E \(\rightarrow\) F \(\rightarrow\) G. The coded letter is G.
• The second letter of DOCTOR is O. Shift O forward by 3 positions: O \(\rightarrow\) P \(\rightarrow\) Q \(\rightarrow\) R. The coded letter is R.
• The third letter of DOCTOR is C. Shift C forward by 3 positions: C \(\rightarrow\) D \(\rightarrow\) E \(\rightarrow\) F. The coded letter is F.
• The fourth letter of DOCTOR is T. Shift T forward by 3 positions: T \(\rightarrow\) U \(\rightarrow\) V \(\rightarrow\) W. The coded letter is W.
• The fifth letter of DOCTOR is O. Shift O forward by 3 positions: O \(\rightarrow\) P \(\rightarrow\) Q \(\rightarrow\) R. The coded letter is R.
• The sixth letter of DOCTOR is R. Shift R forward by 3 positions: R \(\rightarrow\) S \(\rightarrow\) T \(\rightarrow\) U. The coded letter is U.

Putting the coded letters together, D-O-C-T-O-R becomes G-R-F-W-R-U.

So, in this code language, DOCTOR will be written as GRFWRU.

Let's confirm this with a table showing the letter shifts:

The coded word is GRFWRU.

Final Answer Confirmation

Based on our analysis and application of the code rule, the word DOCTOR is coded as GRFWRU.

Revision Table: Coding and Decoding Analysis

This table summarizes the transformation rules identified and applied:

Additional Information: Types of Coding and Decoding

Coding and decoding questions are common in reasoning sections of various exams. They test your ability to identify patterns and rules. Some common types of coding include:

• Letter Shifting: Each letter is shifted by a fixed number of positions (like in this problem). This can be forward or backward.
• Reverse Letter Coding: Letters are replaced by their corresponding letters from the end of the alphabet (A becomes Z, B becomes Y, etc.).
• Positional Value Coding: Letters are assigned numerical values based on their position (A=1, B=2, etc.) and operations are performed on these values.
• Mixed Coding: A combination of different rules, sometimes involving letters and numbers or symbols.
• Word/Phrase Coding: Entire words or phrases are coded based on specific rules, often involving rearrangement or substitution.

Solving these problems requires careful observation and systematic analysis to identify the pattern or rule used in the given example.