What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2

What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?

  1. 1012
  2. 1022
  3. 1122
  4. 1222
  • Answer: The correct option is B
  • Explanation:

    LCM of 3, 4, 5 and 6 = 60

    Let the required number be 60x + 2

    If x = 17, then the number = (60 × 17) + 2

    = 1020 + 2

    = 1022

  • Exam Year: 2020