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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::?
Map the numerical position of letters (A=1, B=2... Z=26) and observe that the sum of the positions of each letter-cluster pair equals 27 (the reverse pair rule).
Map the numerical position of letters (A=1, B=2... Z=26) and observe that the sum of the positions of each letter-cluster pair equals 27 (the reverse pair rule).
Analyze the relationship between #: WZB
If # is EHJ, let us verify if EHJ is related to WZB. E (5) + W (23) = 28, H (8) + Z (26) = 34, J (10) + B (2) = 12. Since this direct sum is not 27, we look at the provided key relationship: BEG to TWY. Let us check B (2) and T (20): 2+20=22. Wait, let us check the actual pattern: B(2) to T(20) is +18, E(5) to W(23) is +18, G(7) to Y(25) is +18. This shows a consistent shift of +18 (or -8) for every letter.
Apply the shift to EHJ
If the pattern is +18, then for the cluster EHJ: E(5)+18=23(W), H(8)+18=26(Z), J(10)+18=28, which is 28-26=2(B). Thus EHJ maps to WZB. This confirms # = EHJ.
Apply the shift to BEG
For the right side, BEG transformed with +18: B(2)+18=20(T), E(5)+18=23(W), G(7)+18=25(Y). This confirms % = TWY.
A: EMJ and TWY do not maintain the consistent +18 letter shift required to match WZB and BEG. B: FHJ and TWY fail because FHJ maps to XZB, not WZB. C: EHJ and TWI fail because I does not match the +18 shift from G(7+18=25, which is Y).
D is correct because the letter-cluster pairs follow a consistent +18 alphabetical shift: E+18=W, H+18=Z, J+18=B (WZB) and B+18=T, E+18=W, G+18=Y (TWY).
When dealing with letter-cluster analogies, always convert letters to their numerical positions (1-26) first; this makes detecting constant addition or subtraction shifts immediate.
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