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Difficulty: HardAnalogy and Classification

In a certain letter analogy pattern, the letter-group CRAFT\text{CRAFT} is related to ZKBWI\text{ZKBWI} following a specific two-step positional rule combining reverse alphabet complementation and position shifting. Following the same logic, which of the following letter-groups replaces the question mark in the given analogy?

CRAFT:ZKBWI::PRISM:?\text{CRAFT} : \text{ZKBWI} :: \text{PRISM} : ?
  1. MKTJP\text{MKTJP}Answer
  2. B
    RTKUO\text{RTKUO}
  3. C
    KIRHN\text{KIRHN}
  4. D
    IGPFL\text{IGPFL}

Answer

The letter-group that completes the analogy is MKTJP\text{MKTJP}.
The pattern follows a two-step rule: first, replace each letter with its opposite letter in the reverse alphabetical order (such that the sum of positional values equals 27), and second, shift each obtained letter forward by +2+2 positions in the standard alphabet. Applying this to PRISM\text{PRISM}: P(16)→\to K(11)+2=M+2 = \text{M}, R(18)→\to I(9)+2=K+2 = \text{K}, I(9)→\to R(18)+2=T+2 = \text{T}, S(19)→\to H(8)+2=J+2 = \text{J}, M(13)→\to N(14)+2=P+2 = \text{P}, producing MKTJP\text{MKTJP}.

Step-by-Step Solution

1
Analyze the rule transforming CRAFT\text{CRAFT} to ZKBWI\text{ZKBWI}.
Step 1a: Find reverse alphabet pairs (27−position27 - \text{position}). C(3)→\to X(24), R(18)→\to I(9), A(1)→\to Z(26), F(6)→\to U(21), T(20)→\to G(7).
Step 1b: Shift each resulting letter forward by +2+2 positions: X(24)+2=Z(26)+2 = Z(26), I(9)+2=K(11)+2 = K(11), Z(26)+2=B(2)+2 = B(2), U(21)+2=W(23)+2 = W(23), G(7)+2=I(9)+2 = I(9). Result: ZKBWI\text{ZKBWI}.
Establishes the two-step rule: reverse complement followed by +2+2 positional shift.
2
Apply Step 1a (reverse alphabet pair) to each letter of PRISM\text{PRISM}.
P(16)→\to K(11), R(18)→\to I(9), I(9)→\to R(18), S(19)→\to H(8), M(13)→\to N(14). Intermediate group: KIRHN\text{KIRHN}.
Calculates the reverse alphabetical complement for each letter of the target word.
3
Apply Step 1b (+2+2 positional shift) to KIRHN\text{KIRHN}.
K(11)+2=M(13)+2 = M(13), I(9)+2=K(11)+2 = K(11), R(18)+2=T(20)+2 = T(20), H(8)+2=J(10)+2 = J(10), N(14)+2=P(16)+2 = P(16). Final result: MKTJP\text{MKTJP}.
Executes the final positional advancement to complete the analogy pattern.

Key Concept

Letter Analogy based on Compound Reverse Alphabet Pair and Constant Positional Shift
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Topics

Analogy and Classification

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