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Q: The largest four-digit number which when divided by 7, 11, and 13 leaves remainder 4 in each case is :
  • A. 9999
  • B. 9009
  • C. 1005
  • D. 9013
Correct Answer: Option C - LCM of 7, 11 and 13 = 7 × 11 × 13 = 1001 Hence, required number = 1001 + 4 = 1005
C. LCM of 7, 11 and 13 = 7 × 11 × 13 = 1001 Hence, required number = 1001 + 4 = 1005

Explanations:

LCM of 7, 11 and 13 = 7 × 11 × 13 = 1001 Hence, required number = 1001 + 4 = 1005