find the remainder when the following 2017-digit number is divided by 9
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A 3 - digit number when divided by 57, the remainder is 27, when divided by 217 the remainder is 60. Find the number.
Call a is the 3-digit number which divied by 57, the remainder is 27, divided by 217, the remainder is 60.
\(\Rightarrow\)a-27\(⋮\)57
\(\Rightarrow\)a-60\(⋮\)217
Because 684 is a multiple of 57 so:
\(\Rightarrow\)a-27-684\(⋮\)57\(\Rightarrow\)a-771\(⋮\)57
Because 651 is a multiple of 217 so:
\(\Rightarrow\)a-60-651\(⋮\)217\(\Rightarrow\)a-771\(⋮\)217
\(\Rightarrow\)a-771 \(\in\)CM(217;57)
\(\Rightarrow\)a-771\(\in\){0;12369;...}
\(\Rightarrow\)a\(\in\){771;13140;...}
Because a is a 3-digit number so a = 771.
The number is 771.
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Find the remainder when a 2000-digit number 20192019....2019 is divided by 7
If the five-digit number 24N14 is divided by 9, the remainder is 1. Find N
Dịch: Số \(\overline{24N14}\) chia 9 dư 1. Tìm N
Bạn sẽ tìm được N = 8
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When 34 is divided by 1- digit number,X is the remainder is 6 . The value of X is ......... { Va giai thich }
Question 9:
I am a two –digit number. I have digit “0” in the ones place. When I am divided by 6, the quotient is 8 and has remainder. Who am I?
Answer:
Question 10:
The difference of a 3-digit number and the smallest 3-digit number is just before of the greatest even 2-digit number. The 3-digit number is
1,3. Find the smallest odd three-digit multiple of 11 whose hundreds digit is greater than its units digit.
2,4. Find the sum of all the integers between 150 and 650 such that when each is divided by 10, the remainder is 4.
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