Understanding Code Language and Letter Coding Logic

This question involves decoding a word based on a pattern observed in two given coded words. We need to identify the specific rule or logic applied to transform the original words into their coded forms and then apply the same rule to the word 'BRUNCH'.

Analyzing the Given Code Examples

Let's examine the first example: 'UPSIDE' is coded as 'NJNEAC'. We can compare the positions of each letter in the English alphabet.

• U is the 21st letter. N is the 14th letter.
• P is the 16th letter. J is the 10th letter.
• S is the 19th letter. N is the 14th letter.
• I is the 9th letter. E is the 5th letter.
• D is the 4th letter. A is the 1st letter.
• E is the 5th letter. C is the 3rd letter.

Let's look at the difference in their alphabetical positions:

• U (21) → N (14): $14 - 21 = -7$
• P (16) → J (10): $10 - 16 = -6$
• S (19) → N (14): $14 - 19 = -5$
• I (9) → E (5): $5 - 9 = -4$
• D (4) → A (1): $1 - 4 = -3$
• E (5) → C (3): $3 - 5 = -2$

The differences are -7, -6, -5, -4, -3, -2. This suggests a pattern of decreasing backward shifts in alphabetical position for consecutive letters.

Let's verify this pattern with the second example: 'GINGER' is coded as 'ZCICBP'.

• G is the 7th letter. Z is the 26th letter.
• I is the 9th letter. C is the 3rd letter.
• N is the 14th letter. I is the 9th letter.
• G is the 7th letter. C is the 3rd letter.
• E is the 5th letter. B is the 2nd letter.
• R is the 18th letter. P is the 16th letter.

Let's look at the difference in their alphabetical positions, considering wrap-around for Z:

• G (7) → Z (26): $26 - 7$ is not directly -7. If we go backward from G (7 letters): F(6), E(5), D(4), C(3), B(2), A(1), Z(26). This is indeed a shift of 7 positions backward. $7 - 7 = 0$, which maps to Z (26 in a 1-26 cycle). So, a shift of -7.
• I (9) → C (3): $3 - 9 = -6$. A shift of -6.
• N (14) → I (9): $9 - 14 = -5$. A shift of -5.
• G (7) → C (3): $3 - 7 = -4$. A shift of -4.
• E (5) → B (2): $2 - 5 = -3$. A shift of -3.
• R (18) → P (16): $16 - 18 = -2$. A shift of -2.

The pattern is confirmed: a backward shift of -7, -6, -5, -4, -3, -2 for the successive letters of the word.

Applying the Logic to 'BRUNCH'

Now, we apply the same shifting pattern (-7, -6, -5, -4, -3, -2) to the letters of the word 'BRUNCH'.

• B is the 2nd letter. Shift by -7. $2 - 7 = -5$. Alphabetical position cycles (A=1 to Z=26). To go backward from B, we move to A, then Z, Y, X, W, V, U. Going back 7 steps from B leads to U (which is 21). This corresponds to $2 - 7 + 26 = 21$.
• R is the 18th letter. Shift by -6. $18 - 6 = 12$. The 12th letter is L.
• U is the 21st letter. Shift by -5. $21 - 5 = 16$. The 16th letter is P.
• N is the 14th letter. Shift by -4. $14 - 4 = 10$. The 10th letter is J.
• C is the 3rd letter. Shift by -3. $3 - 3 = 0$. Going back 3 steps from C leads to B, A, Z. Z is the 26th letter. This corresponds to $3 - 3 + 26 = 26$.
• H is the 8th letter. Shift by -2. $8 - 2 = 6$. The 6th letter is F.

Let's summarize the transformation for 'BRUNCH' in a table:

So, applying the same code language logic, 'BRUNCH' is coded as 'ULPJZF'.

Final Coded Word

Based on the established pattern of consecutive backward shifts (-7, -6, -5, -4, -3, -2), the word 'BRUNCH' is coded as 'ULPJZF'.

Revision Table: Coding Logic Summary

Additional Information on Letter Coding in Reasoning

Letter coding is a common type of reasoning question where letters of a word are replaced by other letters based on a specific rule. The rule can involve:

• Shifting letters forward or backward by a fixed number of positions.
• Shifting letters by a variable number of positions (as in this case).
• Reversing the order of letters.
• Substituting letters based on their position in the word or alphabet.
• Using a combination of these rules.

Solving such problems requires careful observation, comparison, and pattern identification between the given words and their codes. It often helps to write down the alphabetical positions of the letters or draw out the shifts.