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 respectively. If he had divided the number by 585, what would have been the remainder?

Question

Accepted Answer

সঠিক উত্তর: । ব্যাখ্যা: 5, 9 এবং 13 র L.C.M. $= 585$. The common difference between divisors 5, 9 and 13, and their respective remainders 4, 8 and 12 is $5-4 = 1$, $9-8 = 1$, $13-12 = 1$. So, the least number can be L.C.M of 5, 9 and 13 minus the common difference $= 585-1 = 584$. সুতরাং, বলা যায় উক্ত সংখ্যা কে 585 দ্বারা ভাগ করলে ভাগশেষ থাকবে 584.

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 respectively. If he had divided the number by 585, what would have been the remainder?

একাউন্টে প্রবেশ করুন