Pick the ordered 4-letter string to complete the pattern: ab_x_za_cxy_abcx_z.
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Acybzy
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Bcxbzy
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Ccyczy
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Dbybzy
Answer
Correct Answer: cxbzy
Explanation
Introduction / Context:The sequence interleaves motifs from {a, b, c, x, y, z}: “ab…”, “…za…”, “…cxy…”, “…abcx…”, “…z”. We must place one 4-letter option into the blanks to produce standard sub-runs like “abc”, “cxy”, and “xyz”.
Given Data / Assumptions:
- Skeleton: ab _ x _ za _ cxy _ abcx _ z
- Options: cybzy, cxbzy, cyczy, bybzy.
Concept / Approach:The best candidate should (i) close “ab_” into “abc”, (ii) set up “…za b…”, (iii) complete “cxy_” into “cxyz”, and (iv) let the tail realize “…abcx y… z”.
Step-by-Step Solution:1) Insert “c x b z y”.2) “ab + c” → “abc”; next blank “+ x” produces “…x…”, handing off to “…za b…”.3) The third letter “b” yields “…zab…”, a standard bridge into “cxy…”.4) The fourth letter “z” completes “cxyz”, and the residual “y” aligns with “…abcx y… z”.
Verification / Alternative check:Observe canonical clusters: “abc”, “zab”, “cxyz”, and “…abcx y…z”.
Why Other Options Are Wrong:They cause local inversions (e.g., “cyc…”) or disrupt the “cxy→cxyz” completion.
Common Pitfalls:Not accounting for the long tail “abcx_z”.
Final Answer:cxbzy