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How many three-digit numbers leave remainder 2 when divided by each of 3, 4 and 5?

Competition practiceNumber System, HCF & LCM
  • A15
  • B16
  • C14
  • D17

Step-by-Step Solution

Such numbers are 60k + 2 (LCM = 60). Three-digit: 122, 182, …, 962, i.e. k = 2 to 16, which is 15 numbers.
Answer: A) 15

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