Multiple choice

Find the greatest number which on dividing 391 and 318 leaves remainders 7 and 6, respectively.

  1. 20

  2. 23

  3. 24

  4. 32

  5. na
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C Correct answer
Explanation

We need the greatest number that divides (391 - 7) = 384 and (318 - 6) = 312. The HCF of 384 and 312 is 24.

AI explanation

Let the required greatest number be the Highest Common Factor (HCF) of the differences between the given numbers and their respective remainders. The differences are 391 minus 7, which is 384, and 318 minus 6, which is 312. Finding the HCF of 384 and 312 gives a remainder of 72 when 384 is divided by 312, and dividing 312 by 72 gives a remainder of 24. The HCF of 384 and 312 is 24. The greatest number is 24.

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