Multiple choice

Find the greatest number which will divide 1625, 2281 and 4218 leaving 8, 4 and 5 as remainders respectively.

  1. 9

  2. 11

  3. 23

  4. 33

  5. 45
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B Correct answer
Explanation

The required number must divide 1625 - 8 = 1617, 2281 - 4 = 2277, and 4218 - 5 = 4213 without leaving any remainder. The greatest common divisor (HCF) of 1617, 2277, and 4213 is 11. Thus, 11 is the greatest number that satisfies the given conditions.

AI explanation

Subtract the respective remainders to get the numbers to be divided completely: 1625 - 8 = 1617, 2281 - 4 = 2277 and 4218 - 5 = 4213. The required number is the highest common factor of 1617, 2277 and 4213. The HCF of these three numbers is 11. The result is 11.

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