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Miscellaneous·2022·Easy

What is the smallest number greater than 1000 that when divided by any one of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3?

What is the smallest number greater than 1000 that when divided by any one of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3?

Options

  1. a.

    1063

  2. b.

    1073

  3. c.

    1083

    Correct answer
  4. d.

    1183

Explanation

LCM of 6, 9, 12, 15 and 18 = 180 Smallest number greater than 1000 which is a multiple of 180 is 108

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