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What is the remainder when 2125 is dividedby 11? |
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Answer» The remainder will be 5 When the numbers are divided from the starting point we get the remainders as follows. So it will stop at a certain point and then start repeating at a certain point. For example, 2⁰/11 = 1/11, so remainder = 1 2¹/ 11 = 2/11, so remainder = 2 2²/11 = 4/11, so remainder = 4 2³/11 = 8/11, so remainder = 8 2⁴/11 = 16/11, so remainder = 5 2⁵/11 = 32/11, so remainder = 10 2⁶/11 = 64/11, so remainder = 9 2⁷/11 = 128/11, so remainder = 7 2^8/11 = 256/11, so remainder = 3 2^9/11 = 512/11, so remainder = 6 2^10/11 = 1024/11, so remainder = 1 Hence these remainder repeat itself at an interval of ten Hence , Remainder can be calculated as divide 125 by 10( after 10 digits it repeats once again) Remainder will be 5. So fifth number in the order is 5. So the remainder is 5. |
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