Multiple choice

The highest number that divides 67 and 97, leaving 7 as remainder in each case is

  1. 30

  2. 22

  3. 10

  4. 9

  5. 6
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A Correct answer
Explanation

The number must divide (67-7)=60 and (97-7)=90. The HCF of 60 and 90 is 30.

AI explanation

To find the required number, we subtract the remainder 7 from both numbers to find the exact divisors, giving 60 and 90. The highest number that divides both 60 and 90 is their highest common factor, which is 30. Therefore, the highest number leaving a remainder of 7 is 30.

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