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1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
- A. 4
- B. 4
- C. 4
- D. 4
Answer: Option A
Explanation:
To find the greatest number that will divide 43, 91, and 183, leaving the same remainder in each case, you can use the following approach:
Find the differences between the numbers:
- Difference between 91 and 43: 91 - 43 = 48
- Difference between 183 and 91: 183 - 91 = 92
Now, find the greatest common divisor (GCD) of these differences: GCD(48, 92)
Calculate the GCD: GCD(48, 92) = 4
So, the greatest number that will divide 43, 91, and 183, leaving the same remainder in each case, is 4. Therefore, the answer is 4.
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