64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 213 appear as three successive remainders. The divisor isOptions184234296224
Question
64329 is divided by a certain number.
While dividing, the numbers, 175, 114 and 213 appear as three successive remainders.
The divisor is
Options
- 184
- 234
- 296
- 224
Solution
To find the divisor, we can use the method of successive remainders.
Given that the remainders are 175, 114, and 213, we can start by subtracting the first remainder (175) from the second remainder (114). This gives us a new remainder of 114 - 175 = -61.
Next, we subtract this new remainder (-61) from the third remainder (213). This gives us a new remainder of 213 - (-61) = 274.
Now, we subtract this new remainder (274) from the original number (64329). This gives us a new number of 64329 - 274 = 64055.
Finally, we divide this new number (64055) by the difference between the first two remainders (175 - 114 = 61).
Therefore, the divisor is 64055 / 61 = 1051.
So, the correct option for the divisor is 1051.
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