Multiple choice

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

  1. 13

  2. 65

  3. 875

  4. 1750
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A Correct answer
Explanation

To find the largest number that divides 70 and 125 with remainders 5 and 8, subtract the remainders first: 70 - 5 = 65 and 125 - 8 = 117. The largest number is the greatest common divisor (GCD) of 65 and 117, which is 13.

AI explanation

To find the largest number that leaves specific remainders, subtract the remainders from the respective numbers to make them exactly divisible. Calculate 70 minus 5 to get 65, and 125 minus 8 to get 117. The required number is the highest common factor (HCF) of 65 and 117; finding the HCF of 65 and 117 gives 13, so the answer is 13.

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