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@ @óáÕÜa@óïÝibÔ@

      abcabc                               [AHSME 1951] ( )

101 ( ) 1001 ( )  13 11 ( )                        11 7 ( )

                                          :( )

                  abcabc = abc ×103 + abc
                           = abc (103 +1)
                           = abc ×1001

1417  1059                                 [AHSME 1976] ( )

            d −r  r                        d       2312

        23 ( )    19 ( )                   17 ( )   15 ( )

2312  1417        1059                      : ()

                                    q3 q2  q1      d
                      1059 = q1d + r
                      1417 = q2d + r
                       2312 = q3d + r

                  1417 −1059 = 358 = (q2 −q1)d
                  2312 −1417 = 895 = (q3 − q2)d

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