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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: The pattern for the first cluster (EMI) to GOK is +2, +1, +3. Apply the reverse transformation (-2, -1, -3) to get the missing clusters.
Identify the positional shift: The pattern for the first cluster (EMI) to GOK is +2, +1, +3. Apply the reverse transformation (-2, -1, -3) to get the missing clusters.
Analyze the first pair
Compare EMI and GOK. E(5)+2=G(7), M(13)+2=O(15), I(9)+2=K(11). The pattern is +2 for all letters.
Apply pattern to HPL
Applying the same +2 rule to HPL: H(8)+2=J(10), P(16)+2=R(18), L(12)+2=N(14). This results in JRN.
Verification
The missing # must be EMI to satisfy the relationship EMI:GOK:: HPL:JRN.
B: Incorrect because M vs N is wrong. C: Incorrect because M vs N is wrong. D: Incorrect because EMJ is not the correct base cluster.
A is correct because the transformation rule +2 applied to each position of the letter cluster holds true for both pairs (EMI->GOK and HPL->JRN).
Always convert letters to their numerical positions (A=1, B=2...) first; it simplifies pattern detection from abstract shapes to arithmetic sequences.