64329 is divided by a certain number, 175, 114 and 213 appears as three successive remainders. The divisor is -

Solution(By Examveda Team)

$$\eqalign{ & {\text{Number at (1) = 643 - 175}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 468}} \cr & {\text{Number at (2) = 1752 - 114}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 1638 }} \cr & {\text{Number at (3) = 1149 - 213 }} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 936}} \cr & {\text{HCF of 468, 1638, 936 = 234}} \cr & {\text{The divisor is 234}}{\text{.}} \cr} $$