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Question
64329 is divided by a certain number, 175, 114 and 213 appears as three successive remainders. The divisor is -
Options:
A .  184
B .  224
C .  234
D .  296
Answer: Option C
$$\eqalign{
& {\text{Number at (1) = 643 - 175}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 468}} \cr
& {\text{Number at (2) = 1752 - 114}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 1638 }} \cr
& {\text{Number at (3) = 1149 - 213 }} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 936}} \cr
& {\text{HCF of 468, 1638, 936 = 234}} \cr
& {\text{The divisor is 234}}{\text{.}} \cr} $$

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