Multiple choice

The greatest number, which can divide 1354, 1866, 2762 leaving the same remainder 10 in each case, is

  1. 64

  2. 124

  3. 156

  4. 260

  5. None of these
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A Correct answer
Explanation

Subtract the remainder 10 from each number: 1344, 1856, 2752. Find the HCF of these numbers. HCF(1344, 1856, 2752) = 64.

AI explanation

To find the greatest number that divides 1354, 1866 and 2762 leaving a remainder of 10 in each case, we must subtract 10 from each number and find their highest common factor (HCF). The new numbers are 1344, 1856 and 2752. Finding the HCF of 1344, 1856 and 2752 yields 64. Therefore, the greatest number that divides them leaving a remainder of 10 is 64.

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