Decoding Coding Language Patterns

This question asks us to decipher a coding pattern applied to the word 'DEPEND' to get 'EPHTJJ' and then use the same pattern to code the word 'TRAVEL'. These types of questions test your logical reasoning and ability to identify sequences or rules in how letters are transformed.

Analyzing the Code: DEPEND to EPHTJJ

Let's look at the transformation from 'DEPEND' to 'EPHTJJ'. We can examine how each letter in 'DEPEND' corresponds to the letters in 'EPHTJJ'.

DEPEND:

• D is coded as E
• E is coded as P
• P is coded as H
• E is coded as T
• N is coded as J
• D is coded as J

We can see that the same original letter ('E' and 'D') is coded into different letters depending on its position in the word. This suggests the coding rule likely involves the position of the letter within the word, not just the letter itself.

The Key Pattern: Reverse and Shift

Let's try reversing the word 'DEPEND'. The reverse of 'DEPEND' is 'DNEPED'. Now, let's see if there is a relationship between the letters in the reversed word and the coded word 'EPHTJJ'.

DNEPED vs EPHTJJ:

• First letter of DNEPED is D. First letter of EPHTJJ is E. (D to E is a shift of \(+1\))
• Second letter of DNEPED is N. Second letter of EPHTJJ is P. (N to P is a shift of \(+2\))
• Third letter of DNEPED is E. Third letter of EPHTJJ is H. (E to H is a shift of \(+3\))
• Fourth letter of DNEPED is P. Fourth letter of EPHTJJ is T. (P to T is a shift of \(+4\))
• Fifth letter of DNEPED is E. Fifth letter of EPHTJJ is J. (E to J is a shift of \(+5\))
• Sixth letter of DNEPED is D. Sixth letter of EPHTJJ is J. (D to J is a shift of \(+6\))

It appears the pattern is: Reverse the original word, and then shift each letter forward in the alphabet by a number equal to its position in the reversed word (1st letter by \(+1\), 2nd by \(+2\), and so on).

This confirms the pattern: Reverse the word and apply a shift sequence of \(+1, +2, +3, +4, +5, +6\).

Applying the Pattern to TRAVEL

Now let's apply the same rule to the word 'TRAVEL'.

First, reverse 'TRAVEL'. The reversed word is 'LEVART'.

Next, apply the sequential shift pattern to each letter of 'LEVART':

• 1st letter (L): L is the 12th letter. \(12 + 1 = 13\). The 13th letter is M.
• 2nd letter (E): E is the 5th letter. \(5 + 2 = 7\). The 7th letter is G.
• 3rd letter (V): V is the 22nd letter. \(22 + 3 = 25\). The 25th letter is Y.
• 4th letter (A): A is the 1st letter. \(1 + 4 = 5\). The 5th letter is E.
• 5th letter (R): R is the 18th letter. \(18 + 5 = 23\). The 23rd letter is W.
• 6th letter (T): T is the 20th letter. \(20 + 6 = 26\). The 26th letter is Z.

Final Coded Word for TRAVEL

By applying the reverse-and-shift pattern, the word 'TRAVEL' is coded as 'MGYEWZ'.

Revision Table: Coding Language Logic

Additional Information: Types of Coding Patterns

Coding and decoding questions in logical reasoning often follow specific patterns. Recognizing these patterns is key to solving the problems quickly. Some common types include:

• Simple Shift Cipher: Every letter is shifted by a fixed number of positions (e.g., A becomes D, B becomes E, using a \(+3\) shift).
• Reverse Alphabetical Order: Letters might be coded by their position from the end of the alphabet (A=Z, B=Y, etc.).
• Letter Reversal: The entire word or parts of the word might be reversed.
• Position-Based Changes: The shift amount or rule changes based on the letter's position in the word, as seen in this problem.
• Vowel/Consonant Rules: Different rules might apply to vowels and consonants.
• Skipping Letters: The pattern might involve skipping a fixed or variable number of letters.

Practicing different types of patterns helps you quickly identify the logic in exams.