Understanding the Code Language Puzzle

This question asks us to decipher a specific code language where words are transformed based on a set of rules. We are given two examples of coded words: ZIGSAW becomes BOHTEX, and BLUFF becomes CMAGG. Our task is to apply the same underlying coding rule to the word MOVEMENT to find its coded form.

To solve this type of problem, we need to analyse the relationship between the letters in the original words and the letters in their coded versions for the given examples. By comparing the letters at each position, we can identify the coding rule or pattern.

Analysing the Given Examples: ZIGSAW and BLUFF

Let's look at the first example: ZIGSAW is coded as BOHTEX.

• The first letter Z of ZIGSAW corresponds to the first letter B of BOHTEX.
• The second letter I corresponds to the second letter O.
• The third letter G corresponds to the third letter H.
• The fourth letter S corresponds to the fourth letter T.
• The fifth letter A corresponds to the fifth letter E.
• The sixth letter W corresponds to the sixth letter X.

Now, let's determine the letter shifts for each position by finding how many places forward (or backward, wrapping around the alphabet) each letter moves:

• Z to B: Z is the 26th letter, B is the 2nd. Moving forward, Z → A → B is a shift of +2. \(Z(26) \xrightarrow{+2} B(2)\) (wrapping around).
• I to O: I is the 9th letter, O is the 15th. \(I(9) \xrightarrow{+6} O(15)\). This is a shift of +6.
• G to H: G is the 7th letter, H is the 8th. \(G(7) \xrightarrow{+1} H(8)\). This is a shift of +1.
• S to T: S is the 19th letter, T is the 20th. \(S(19) \xrightarrow{+1} T(20)\). This is a shift of +1.
• A to E: A is the 1st letter, E is the 5th. \(A(1) \xrightarrow{+4} E(5)\). This is a shift of +4.
• W to X: W is the 23rd letter, X is the 24th. \(W(23) \xrightarrow{+1} X(24)\). This is a shift of +1.

So, the shifts for ZIGSAW are: +2, +6, +1, +1, +4, +1.

Let's analyse the second example: BLUFF is coded as CMAGG.

• B to C: B is 2nd, C is 3rd. \(B(2) \xrightarrow{+1} C(3)\). Shift is +1.
• L to M: L is 12th, M is 13th. \(L(12) \xrightarrow{+1} M(13)\). Shift is +1.
• U to A: U is 21st, A is 1st. \(U(21) \xrightarrow{+6} A(1)\) (wrapping around, \(21+6=27\), \(27-26=1\)). Shift is +6.
• F to G: F is 6th, G is 7th. \(F(6) \xrightarrow{+1} G(7)\). Shift is +1.
• F to G: F is 6th, G is 7th. \(F(6) \xrightarrow{+1} G(7)\). Shift is +1.

So, the shifts for BLUFF are: +1, +1, +6, +1, +1.

Identifying the Specific Letter Transformation Rule

Comparing the shifts (+2, +6, +1, +1, +4, +1) and (+1, +1, +6, +1, +1), we can see that the shift amount is not consistent based on the position in the word. However, let's look at the shifts associated with specific letters that appear in the original words (ZIGSAW, BLUFF) and the target word (MOVEMENT).

From ZIGSAW:

• Z shifts by +2
• I shifts by +6
• G shifts by +1
• S shifts by +1
• A shifts by +4
• W shifts by +1

From BLUFF:

• B shifts by +1
• L shifts by +1
• U shifts by +6
• F shifts by +1

Now let's consider the letters in MOVEMENT: M, O, V, E, M, E, N, T. Some of these letters appeared in the examples, some did not as starting letters, but might have appeared as resulting letters. Let's consolidate the shifts based on the unique original letters we've seen and infer for the new letters in MOVEMENT by looking at the options.

Observed shifts for original letters:

• A: +4
• B: +1
• F: +1
• G: +1
• I: +6
• L: +1
• S: +1
• U: +6
• W: +1
• Z: +2

Now consider MOVEMENT: M, O, V, E, M, E, N, T. We need the shifts for M, O, V, E, N, T.

Looking at option 1 (NUWINIPV), let's see what shifts are implied for MOVEMENT:

• M to N: \(M(13) \xrightarrow{+1} N(14)\). Shift +1. This aligns with many other consonants (B, F, G, L, S, W).
• O to U: \(O(15) \xrightarrow{+6} U(21)\). Shift +6. This aligns with vowels I and U.
• V to W: \(V(22) \xrightarrow{+1} W(23)\). Shift +1. Aligns with common consonants.
• E to I: \(E(5) \xrightarrow{+4} I(9)\). Shift +4. This aligns with vowel A.
• M to N: \(M(13) \xrightarrow{+1} N(14)\). Shift +1.
• E to I: \(E(5) \xrightarrow{+4} I(9)\). Shift +4.
• N to P: \(N(14) \xrightarrow{+2} P(16)\). Shift +2. This is a new specific shift, like Z.
• T to V: \(T(20) \xrightarrow{+2} V(22)\). Shift +2. Another new specific shift, like Z and N.

It appears the coding rule is a specific, fixed shift for each individual letter from the set of letters present in ZIGSAW, BLUFF, and MOVEMENT. Let's consolidate the letter-specific shifts:

• A: +4
• B: +1
• E: +4
• F: +1
• G: +1
• I: +6
• L: +1
• M: +1
• N: +2
• O: +6
• S: +1
• T: +2
• U: +6
• V: +1
• W: +1
• Z: +2

Applying the Rule to MOVEMENT

Now we apply these specific letter shifts to each letter in the word MOVEMENT:

• M: Shift is +1. \(M(13) \xrightarrow{+1} N(14)\). Result is N.
• O: Shift is +6. \(O(15) \xrightarrow{+6} U(21)\). Result is U.
• V: Shift is +1. \(V(22) \xrightarrow{+1} W(23)\). Result is W.
• E: Shift is +4. \(E(5) \xrightarrow{+4} I(9)\). Result is I.
• M: Shift is +1. \(M(13) \xrightarrow{+1} N(14)\). Result is N.
• E: Shift is +4. \(E(5) \xrightarrow{+4} I(9)\). Result is I.
• N: Shift is +2. \(N(14) \xrightarrow{+2} P(16)\). Result is P.
• T: Shift is +2. \(T(20) \xrightarrow{+2} V(22)\). Result is V.

Combining the results, the coded form of MOVEMENT is NUWINIPV.

Comparing with Options

Let's compare our result NUWINIPV with the given options:

1. NUWINIPV
2. NUWFNFOU
3. NUWFNIPU
4. OUWINIPV

Our calculated coded word NUWINIPV exactly matches option 1.

Letter Transformation Revision

Additional Information on Code Language Patterns

Code language and decoding questions are common in reasoning sections of exams. They test your ability to identify patterns and rules based on given examples. Different types of coding patterns include:

• Letter Shifting: Each letter is shifted a fixed number of places forward or backward in the alphabet.
• Specific Letter Substitution: Each letter is replaced by a specific predetermined letter (not necessarily a uniform shift).
• Position-based Coding: The coding rule or shift changes based on the position of the letter in the word.
• Word or Sentence Coding: Entire words or sentences are coded, often by substituting words or applying rules based on the number of letters, vowels, consonants, etc.
• Mixed Coding: A combination of different rules might be used.

In this particular problem, the rule is a form of specific letter substitution using varying shift amounts, which we deduced by analyzing the given examples and confirming with the options for the target word MOVEMENT.