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PLUM is related to UQZP in a certain way. In the same way, DIRT is related to INWY. To which of the following options is BANK related, following the same logic?
GFSP
GFTQ
HESQ
GDSQ
GFSP
Identify the increment pattern by converting letters to their numerical positions and calculating the shift for each character: P(16)+5=U(21), L(12)+5=Q(17), U(21)+5=Z(26), M(13)+3=P(16).
Identify the increment pattern by converting letters to their numerical positions and calculating the shift for each character: P(16)+5=U(21), L(12)+5=Q(17), U(21)+5=Z(26), M(13)+3=P(16).
Analyze PLUM to UQZP
Map letters to positions: P(16), L(12), U(21), M(13). The transformation is: P+5=U(21), L+5=Q(17), U+5=Z(26), M+3=P(16). Pattern: +5, +5, +5, +3.
Verify DIRT to INWY
Map letters: D(4), I(9), R(18), T(20). Transformation: D+5=I(9), I+5=N(14), R+5=W(23), T+5=Y(25). Wait, checking logic: DIRT → INWY is D+5=I, I+5=N, R+5=W, T+5=Y. The pattern is +5, +5, +5, +5.
Apply pattern to BANK
Applying +5 to all letters of BANK: B(2)+5=G(7), A(1)+5=F(6), N(14)+5=S(19), K(11)+5=P(16). Result: GFSP.
B: GFTQ is incorrect because the last letter is incorrect (Q is 17, K+5=16 which is P). C: HESQ is incorrect due to wrong shifts for the first and second letters. D: GDSQ is incorrect due to wrong shifts for the second and third letters.
A is correct because applying a constant shift of +5 to each letter in the word BANK (B+5=G, A+5=F, N+5=S, K+5=P) results in GFSP.
When solving letter analogies, always check if the shift is constant across all letters or if it varies (like +1, +2, +3); first check +N for all, then check for vowel/consonant specific rules.
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