Select the option that is related to the fifth letter-cluster in the same way…
2023
Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster.
GPK : MSI :: RHT : VKT :: IDW : ?
Answer: A. YGK — Concept: every letter carries a fixed alphabet position (A = 1, B = 2, and so on up to Z = 26), and a letter-cluster analogy is fixed by two independent…
- A.
YGK
- B.
ZHL
- C.
KGY
- D.
YIK
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Show answer & explanation
Correct answer: A
Concept: every letter carries a fixed alphabet position (A = 1, B = 2, and so on up to Z = 26), and a letter-cluster analogy is fixed by two independent choices — which letter of the source cluster is paired with which letter of the target cluster, and what constant step is added to each pair. The pairing need not run letter-for-letter in the given order; it may run in reverse. A rule counts as established only when one pairing together with one set of steps reproduces every example the question supplies.
Application: test both candidate pairings against the two examples that are given.
Same-order pairing on G P K to M S I: G(7) to M(13) is a step of +6, P(16) to S(19) is +3, and K(11) to I(9) is -2.
Same-order pairing on R H T to V K T: R(18) to V(22) is +4, H(8) to K(11) is +3, and T(20) to T(20) is 0. The outer steps do not agree with the previous example, so no single same-order rule covers both.
Reversed pairing on G P K to M S I, reading the source backwards as K, P, G: K(11) to M(13) is +2, P(16) to S(19) is +3, and G(7) to I(9) is +2.
Reversed pairing on R H T to V K T, reading the source backwards as T, H, R: T(20) to V(22) is +2, H(8) to K(11) is +3, and R(18) to T(20) is +2. Both examples obey the same three steps, so the rule is: reverse the cluster, then add 2, 3 and 2 to its successive letters.
Applying that rule to I D W, which read backwards is W, D, I:
Source letter (reversed) | Position | Step | Result |
|---|---|---|---|
W | 23 | +2 | Y (25) |
D | 4 | +3 | G (7) |
I | 9 | +2 | K (11) |
Cross-check: the same rule regenerates both supplied pairs exactly, turning G P K into M S I and R H T into V K T. Omitting the reversal step would instead produce K G Y, the same three letters in source order. With the reversal applied, I D W maps to Y G K.