Understanding the Coding Pattern

The question asks us to find the coded word for FLARE based on the relationship between RUSTY and PSQRW. This is a common type of coding-decoding question where we need to identify the rule applied to the letters of the original word to get the coded word.

Analyzing the RUSTY to PSQRW Coding

Let's look at the position of each letter in the alphabet and see how it changes from RUSTY to PSQRW:

• R is the 18th letter. P is the 16th letter. The change is $16 - 18 = -2$.
• U is the 21st letter. S is the 19th letter. The change is $19 - 21 = -2$.
• S is the 19th letter. Q is the 17th letter. The change is $17 - 19 = -2$.
• T is the 20th letter. R is the 18th letter. The change is $18 - 20 = -2$.
• Y is the 25th letter. W is the 23rd letter. The change is $23 - 25 = -2$.

From this analysis, we can see a consistent pattern: each letter in the word RUSTY is shifted 2 positions backward in the English alphabet to get the corresponding letter in PSQRW.

Applying the Coding Rule to FLARE

Now that we have found the rule (shifting each letter 2 positions backward), we can apply it to the word FLARE to find its code:

• F: F is the 6th letter. Shifting 2 positions back: $6 - 2 = 4$. The 4th letter is D.
• L: L is the 12th letter. Shifting 2 positions back: $12 - 2 = 10$. The 10th letter is J.
• A: A is the 1st letter. Shifting 2 positions back: $1 - 2 = -1$. When we shift back from A, we wrap around from Z. So, 2 positions back from A is Z (1 position) then Y (2 positions). The 25th letter is Y.
• R: R is the 18th letter. Shifting 2 positions back: $18 - 2 = 16$. The 16th letter is P.
• E: E is the 5th letter. Shifting 2 positions back: $5 - 2 = 3$. The 3rd letter is C.

Putting the coded letters together, the code for FLARE is DJYPC.

Matching the Code with Options

Let's compare our calculated code DJYPC with the given options:

• Option 1: EKZQD
• Option 2: CIXOB
• Option 3: DJYPC
• Option 4: ELYSC

Our calculated code, DJYPC, matches Option 3.

Conclusion

The coding pattern involves shifting each letter 2 positions backward in the alphabet. Applying this pattern to FLARE gives us the code DJYPC.

Revision Table: Coding Decoded

Additional Information: Coding-Decoding Basics

Coding-decoding questions test your ability to understand the logic or pattern hidden in a code. Common types include:

• Letter Coding: Letters are replaced by other letters based on a rule (like shifting, reverse order, etc.).
• Number Coding: Words are coded using numbers.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: A mix of letters, numbers, and symbols is used.

To solve these questions, always try to find the relationship between the original word and the coded word for the given example. Once the rule is found, apply it consistently to the word you need to code or decode. Pay close attention to shifts, positions in the alphabet, or any specific replacements.