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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::?
Identify the positional shift of letters. Compare GJM and FIL: G(7) to F(6) is -1, J(10) to I(9) is -1, M(13) to L(12) is -1. The same -1 rule applies to both # and %.
Identify the positional shift of letters. Compare GJM and FIL: G(7) to F(6) is -1, J(10) to I(9) is -1, M(13) to L(12) is -1. The same -1 rule applies to both # and %.
Analyze Reference Pair
Given GJM:: FIL. Comparing positions: G(7) to F(6) [-1], J(10) to I(9) [-1], M(13) to L(12) [-1]. The logic is a consistent -1 shift.
Apply Logic to #
Since #: GJM follows the same relationship, and GJM is the result of applying -1 to the first term, we apply +1 to GJM to find #: G(7)+1=H, J(10)+1=K, M(13)+1=N (HKN). However, we must match options: XAD to GJM suggests a +7 shift (X=24, G=7; A=1, J=10; D=4, M=13).
Verify Option D
If #=XAD and % = ORU, checking X(24) to G(7) is +9, A(1) to J(10) is +9, D(4) to M(13) is +9. Similarly, F(6) to O(15) is +9, I(9) to R(18) is +9, L(12) to U(21) is +9. All shifts are +9.
A: XAD matches, but MRU (13,18,21) does not follow the +9 shift from FIL (6,9,12). B: ORP (15,18,16) does not follow the +9 shift from FIL. C: YAD (25,1,4) does not match the +9 shift required from GJM.
D is correct because both pairs follow a consistent +9 shift pattern: XAD(24,1,4)+9 = GJM(7,10,13) and FIL(6,9,12)+9 = ORU(15,18,21).
If letters do not show simple adjacent shifts (+1/-1), always calculate the numerical difference between the first and last letters of the cluster to identify higher-order gaps (like +9 or +13).
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