Multiple choice

Find the greatest number which on dividing 400 and 500 leaves remainders 16 and 20 respectively.

  1. 24

  2. 48

  3. 96

  4. 120
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The number must divide (400-16) = 384 and (500-20) = 480. GCD(384, 480) = 96.

AI explanation

To find the greatest number using the given conditions, subtract the remainders from the respective dividends: 400 minus 16 gives 384 and 500 minus 20 gives 480. The required number is the highest common factor (HCF) of 384 and 480. The HCF of 384 and 480 is 96.

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