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Difficulty: HardAnalogy and Classification

In a certain pattern of letter analogy, the letter-group BASKET\text{BASKET} is related to UVDLRC\text{UVDLRC} following a specific two-step positional shift and reverse-alphabet transformation rule. Following the exact same logical pattern, which letter-group is related to PRINCE\text{PRINCE}?

  1. GENITR\text{GENITR}Answer
  2. B
    OMVQBZ\text{OMVQBZ}
  3. C
    KIRMXV\text{KIRMXV}
  4. D
    LNEJYA\text{LNEJYA}

Answer

The correct letter-group is GENITR\text{GENITR}.
The complete pattern involves two steps: first substituting each letter with its reverse alphabetical pair (A=1↔Z=26A=1 \leftrightarrow Z=26, B=2↔Y=25B=2 \leftrightarrow Y=25, etc.), and second shifting each resulting letter 4 places backward in the alphabet. Applying these steps to PRINCE\text{PRINCE} yields opposite letters KIRMXV\text{KIRMXV}, which upon shifting −4-4 positions become GENITR\text{GENITR}.

Step-by-Step Solution

1
Analyze the rule connecting the first pair BASKET→UVDLRC\text{BASKET} \rightarrow \text{UVDLRC}.
First, map each letter of BASKET\text{BASKET} to its opposite alphabet letter (A↔Z,B↔YA \leftrightarrow Z, B \leftrightarrow Y, etc.): B→Y\text{B} \rightarrow \text{Y}, A→Z\text{A} \rightarrow \text{Z}, S→H\text{S} \rightarrow \text{H}, K→P\text{K} \rightarrow \text{P}, E→V\text{E} \rightarrow \text{V}, T→G\text{T} \rightarrow \text{G}. This gives YZHPVG\text{YZHPVG}.
Identify the primary structural transformation step.
2
Determine the positional shift applied to the opposite letters.
Shift each letter in YZHPVG\text{YZHPVG} backward by 4 positions in the alphabet: Y(25)−4=U(21)\text{Y}(25) - 4 = \text{U}(21), Z(26)−4=V(22)\text{Z}(26) - 4 = \text{V}(22), H(8)−4=D(4)\text{H}(8) - 4 = \text{D}(4), P(16)−4=L(12)\text{P}(16) - 4 = \text{L}(12), V(22)−4=R(18)\text{V}(22) - 4 = \text{R}(18), G(7)−4=C(3)\text{G}(7) - 4 = \text{C}(3). This gives UVDLRC\text{UVDLRC}.
Establish the secondary positional shift magnitude and direction.
3
Apply Step 1 to the target word PRINCE\text{PRINCE}.
Map each letter of PRINCE\text{PRINCE} to its opposite alphabet pair: P(16)→K(11)\text{P}(16) \rightarrow \text{K}(11), R(18)→I(9)\text{R}(18) \rightarrow \text{I}(9), I(9)→R(18)\text{I}(9) \rightarrow \text{R}(18), N(14)→M(13)\text{N}(14) \rightarrow \text{M}(13), C(3)→X(24)\text{C}(3) \rightarrow \text{X}(24), E(5)→V(22)\text{E}(5) \rightarrow \text{V}(22). This forms KIRMXV\text{KIRMXV}.
Execute reverse-alphabet mapping on the target term.
4
Apply Step 2 (backward shift of 4) to KIRMXV\text{KIRMXV}.
Shift each letter backward by 4 positions: K(11)−4=G(7)\text{K}(11) - 4 = \text{G}(7), I(9)−4=E(5)\text{I}(9) - 4 = \text{E}(5), R(18)−4=N(14)\text{R}(18) - 4 = \text{N}(14), M(13)−4=I(9)\text{M}(13) - 4 = \text{I}(9), X(24)−4=T(20)\text{X}(24) - 4 = \text{T}(20), V(22)−4=R(18)\text{V}(22) - 4 = \text{R}(18). The final result is GENITR\text{GENITR}.
Complete the transformation sequence.

Key Concept

Letter Analogy via Combined Reverse Alphabet Mapping and Positional Shifts
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Topics

Analogy and Classification

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