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Which letter-cluster should replace # in the series:
VXZ
VWY
UWZ
UXZ
VXZ
Identify the positional shift between the first pair (each letter increases by +6) and apply the exact same +6 increment to the third term.
Identify the positional shift between the first pair (each letter increases by +6) and apply the exact same +6 increment to the third term.
Analyze First Pair Pattern
Convert letters of BDF and HJL to numerical positions: B(2), D(4), F(6) and H(8), J(10), L(12). The difference from B to H is +6, D to J is +6, and F to L is +6.
Check Internal Consistency
Observe the internal gaps within each cluster: B to D is +2, D to F is +2. Similarly, H to J is +2, J to L is +2. PRT follows this same internal +2 pattern (P=16, R=18, T=20).
Apply Shift to Third Term
Add +6 to each letter of PRT: P(16) + 6 = 22 (V), R(18) + 6 = 24 (X), T(20) + 6 = 26 (Z), yielding the cluster VXZ.
B: VWY is wrong because R(18)+6 gives X, not W. C: UWZ is wrong because P(16)+6 gives V, not U. D: UXZ is wrong because P(16)+6 gives V, not U.
A is correct because adding a +6 alphabetical shift to each letter of PRT yields VXZ.
Always check both the inter-cluster gap and the intra-cluster step simultaneously to quickly eliminate distractor options.
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