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Find the largest four-digit number that leaves remainder 3 on division by each of 4, 7 and 13.

Competition practiceNumber System, HCF & LCM
  • A9831
  • B9999
  • C9467
  • D9828

Step-by-Step Solution

LCM(4, 7, 13) = 364. The largest four-digit multiple: 9999 ÷ 364 gives 27 . Adding the remainder: 9828 + 3 = 9831.
Answer: A) 9831

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