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HKIMO 2019 THPT (Grades 10–12 shared) National Final (Heat) Set 02 Question 11

HKIMO · HKIMO 2019 THPT (Grades 10–12 shared) National Final (Heat) Set 02

Question 11

Find the least positive integer x satisfying $3x\equiv6\pmod5$, $7x\equiv4\pmod{12}$.