Multiple choice

Find the greatest number which divides 62, 132 and 237 to leave the same remainder in each case.

  1. 36

  2. 27

  3. 35

  4. 45
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C Correct answer
Explanation

To find the greatest number that leaves the same remainder, we find the differences between the numbers: 132 - 62 = 70, 237 - 132 = 105, and 237 - 62 = 175. The HCF of 70, 105, and 175 is 35.

AI explanation

The greatest number that divides given numbers leaving the same remainder is the highest common factor of the differences between the numbers. The differences are 132 - 62 = 70 and 237 - 132 = 105. The highest common factor of 70 and 105 is 35. The result is 35.

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