Multiple choice

Find the two largest numbers of four digits having $531$ as their HCF.

  1. $9231, 9762$
  2. $9027, 9558$
  3. $9037, 9568$
  4. $9127, 9658$
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B Correct answer
Explanation

Numbers with HCF 531 must be multiples of 531. We check multiples of 531 near 9999: 531 * 19 = 10089 (too large), 531 * 18 = 9558, and 531 * 17 = 9027.

AI explanation

Divide the largest four-digit number, 9999, by 531 to get a quotient of 18 and a remainder of 261. The two largest numbers are 18 * 531 and 17 * 531, which are 9558 and 9027. The numbers are 9558 and 9027.

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