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How many numbers between 1000 and 2000 leave a remainder of 3 when divided by 11?

 Mar 11, 2019
 #1
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(1004, 1015, 1026, 1037, 1048, 1059, 1070, 1081, 1092, 1103, 1114, 1125, 1136, 1147, 1158, 1169, 1180, 1191, 1202, 1213, 1224, 1235, 1246, 1257, 1268, 1279, 1290, 1301, 1312, 1323, 1334, 1345, 1356, 1367, 1378, 1389, 1400, 1411, 1422, 1433, 1444, 1455, 1466, 1477, 1488, 1499, 1510, 1521, 1532, 1543, 1554, 1565, 1576, 1587, 1598, 1609, 1620, 1631, 1642, 1653, 1664, 1675, 1686, 1697, 1708, 1719, 1730, 1741, 1752, 1763, 1774, 1785, 1796, 1807, 1818, 1829, 1840, 1851, 1862, 1873, 1884, 1895, 1906, 1917, 1928, 1939, 1950, 1961, 1972, 1983, 1994) = 91 - Numbers

Note: It starts at 1004 and then every 11 numbers after that give a remainder of 3

 Mar 11, 2019

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