Multiple choice

The smallest number that divides 75 and 85 leaving 5 as a remainder in each case is

  1. 5

  2. 10

  3. 15

  4. 20

  5. 25
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B Correct answer
Explanation

Find GCD of (75-5) and (85-5) = GCD(70, 80) = 10.

AI explanation

Subtract the common remainder 5 from 75 and 85 to get 70 and 80. The required smallest number must perfectly divide both 70 and 80. The highest common factor (HCF) of 70 and 80 is 10. The smallest number that divides them leaving a remainder of 5 is 10.

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