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In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9, and 13 (factors 585) and got the remainders 4, 8, 12, respectively. If he had divided the number by 585, the remainder would have been

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In dividing a number by 585, a student employed the method of short division. He divided the number successively by 5, 9, and 13 (factors 585) and got the remainders 4, 8, 12, respectively. If he had divided the number by 585, the remainder would have been Answer: 584

Question context

This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the Demo Paper India preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.