Subject
Bank Exam
Topic
UCBL Bank Ltd. - Management Trainee Officer - 2017
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 of 585) and got the remainders 4, 8, 12 repsectively. If he had divided the number by 585, what would have been the remainder ?
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 of 585) and got the remainders 4, 8, 12 repsectively. If he had divided the number by 585, what would have been the remainder ?
ক)
24খ)
144গ)
292ঘ)
584ঙ)
None of theseExplanation
প্রশ্নে বলা হচ্ছে যে, একজন ছাত্রকে একটি সংখ্যাকে 585 দিয়ে ভাগ করতে বলা হলে সে সংক্ষিপ্ত বিভাজন পদ্ধতিতে 585 এর উৎপাদক 5,9 এবং 13 দ্বারা সংখ্যাটিকে ভাগ করাতে 4, 8 এবং 12 অবশিষ্ট পেলো । যদি সংখ্যাটিকে 585 দিয়ে ভাগ করা হয়, তবে ভাগশেষ কত থাকবে ? দেয়া আছে, 5, 9 এবং 13 হলো 585 এর Factors অর্থাৎ 5, 9, 13 দ্বারা 585 নিঃশেষে বিভাজ্য । কিন্তু এই ভাগ করার ফলে ছাত্রটি যথাক্রমে 4, 8 এবং 12 অবশিষ্ট পায় ধরি, সংখ্যাটি হলো P তাহলে প্রশ্নমতে, P = 5x + 4; x = 9y + 8; y = 13z + 12 x = 9y + 8 = 9(13z + 12) + 8 = 117z + 116 P = 5x + 4 = 5(117z + 116) + 4 = 585z + 584 P সংখ্যাটিকে 585 দ্বারা ভাগ করলে ভাগশেষ আসবে 584.Related questions
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