Multiple choice

___ is the largest number which when divides 98 and 75 leaves a remainder of 2 and 3 in each case.

  1. 24

  2. 12

  3. 15

  4. 21
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A Correct answer
Explanation

We need the largest number that divides 98 and 75 leaving remainders of 2 and 3. This is equivalent to finding the HCF of (98-2) and (75-3), which are 96 and 72. The HCF of 96 and 72 is 24.

AI explanation

To find the required largest number, subtract the respective remainders from the numbers to get 96 and 72. The greatest number that divides both 96 and 72 is their HCF. Finding the highest common factor of 96 and 72 gives 24.

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