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The greatest number of four digits that have 144 for their HCF is___________?

Correct answer: D. 9936

  • A. 9930
  • B. 9903
  • C. 9935
  • D. 9936

Explanation

The greatest four-digit multiple of 144 is obtained from 144 x 69 = 9936; the next multiple, 144 x 70 = 10080, has five digits. Therefore 9936 is the greatest possible number. A common mistake is 9930, which is close to 10000 but is not a multiple of 144.

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