Select the letter-cluster from among the given options that can replace the question mark (?) in the following series. DIN, INS, NSX, SXC, ?
XCH
Each cluster of three letters is formed by taking letters at positions that increase by +5 (with wrap-around modulo 26), and the next cluster begins from the second letter of the previous cluster.
Cluster pattern (each letter +5):
D(4) → I(9) → N(14)
I(9) → N(14) → S(19)
N(14) → S(19) → X(24)
S(19) → X(24) → C(29 - 26 = 3)
Next: X(24) → C(29 - 26 = 3) → H(34 - 26 = 8) = XCH.
Hence the answer is XCH.
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