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Which of the following letter-clusters should replace # and % so that the pattern and relationship followed between the letter-cluster pair on the left side of:: is the same as that on the right side of::?
Calculate the constant position increment between clusters (O тЖТ I, Q тЖТ K, T тЖТ N) and apply the reverse to the first pair.
Calculate the constant position increment between clusters (O тЖТ I, Q тЖТ K, T тЖТ N) and apply the reverse to the first pair.
Analyze the relationship between IKN and OQT
Observe the pattern between IKN and OQT: I(9) to O(15) is +6, K(11) to Q(17) is +6, N(14) to T(20) is +6. The right cluster is +6 ahead of the left cluster.
Reverse the relationship for the first pair
Since the pattern is Left + 6 = Right, then # must be Right - 6. Using OQT as the right side: O(15)-6=I(9), Q(17)-6=K(11), T(20)-6=N(14). For the left side #, we test CEH: C(3)+6=I(9), E(5)+6=K(11), H(8)+6=N(14), which matches IKN.
Identify the value for %
The relationship is OQT + 6 = %. O(15)+6=U(21), Q(17)+6=W(23), T(20)+6=Z(26). Thus, % = UWZ.
A: CEH is correct for #, but UMK (U+6=A, M+6=S, K+6=Q) does not match the +6 pattern. C: UDR (U+6=A, D+6=J, R+6=X) does not follow the increment. D: UGT (U+6=A, G+6=M, T+6=Z) does not follow the increment.
B is correct because the logic applied is a constant addition of 6 to each letter of the first cluster to obtain the second cluster (CEH + 6 = IKN and OQT + 6 = UWZ).
In coding-decoding analogies, always convert letters to their numeric positions (A=1, B=2... Z=26) first; this makes identifying constant arithmetic gaps instantaneous.
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