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

Answer: Option C

Solution

Answer: Option C

Solution:

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