Examkin

Question

Difficulty: MediumAnalogy and Classification

An encrypted communication protocol transforms a four-letter source word into a target code using a consistent multi-step positional rule.

According to this protocol, the word FLUX\text{FLUX} is transformed into SMDA\text{SMDA}, and the word MIND\text{MIND} is transformed into LPKU\text{LPKU}.

Based on the identical cryptographic logic, what will be the resulting code for the word CURE\text{CURE}?

  1. VDGT\text{VDGT}Answer
  2. B
    ASPC\text{ASPC}
  3. C
    XFIV\text{XFIV}
  4. D
    ZHKX\text{ZHKX}

Answer

The correct code for the word is VDGT\text{VDGT}.
The established protocol follows a compound two-step rule: first, find the reverse alphabetical counterpart of each letter (where A=Z, B=Y, or mathematically 27−Position27 - \text{Position}), and second, shift that new letter backward by 2 positions. Applying this to CURE: the reverse alphabetical sequence is XFIV. Shifting each of these letters back by 2 positions yields VDGT.

Step-by-Step Solution

1
Analyze the positional relationship between the letters in the first example pair, FLUX and SMDA.
F(6) maps to S(19), L(12) maps to M(13), U(21) maps to D(4), and X(24) maps to A(1).
Finding the numerical alphabet positions is the required first step to decode letter-based analogies.
2
Identify the compound mathematical rule linking these letter positions.
The pattern involves two steps: first finding the Reverse Alphabetical Position (where A=Z, B=Y, or 27−Position27 - \text{Position}), followed by a constant shift of -2. For example, F(6) → Reverse is U(21) → 21−2=1921 - 2 = 19 (S).
A single direct shift does not work consistently across all letters, indicating a multi-step positional transformation is being used.
3
Verify the identified rule using the second example pair, MIND and LPKU.
M(13) → Reverse N(14) → 14−2=1214 - 2 = 12 (L). I(9) → Reverse R(18) → 18−2=1618 - 2 = 16 (P). N(14) → Reverse M(13) → 13−2=1113 - 2 = 11 (K). D(4) → Reverse W(23) → 23−2=2123 - 2 = 21 (U). The rule holds perfectly.
Validating the hypothesized rule against a second example ensures the correct logic has been discovered.
4
Apply the verified two-step rule to the target word, CURE.
C(3) → Reverse X(24) → 24−2=2224 - 2 = 22 (V). U(21) → Reverse F(6) → 6−2=46 - 2 = 4 (D). R(18) → Reverse I(9) → 9−2=79 - 2 = 7 (G). E(5) → Reverse V(22) → 22−2=2022 - 2 = 20 (T).
Executing the established logic yields the final required code sequence: VDGT.

Key Concept

Compound Letter Analogy (Reverse Alphabetical Pairs and Constant Shift)
Estimated Time:1m 15s
Rate this question

Topics

Analogy and Classification

More questions from this topic