MathematicsHow many 3-digit numbers are divisible by 6 in all?

How many 3-digit numbers are divisible by 6 in all?


  1. A
     149
  2. B
     150
  3. C
     151
  4. D
     166 

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    Solution:

    Concept: We must determine the smallest and greatest 3-digit numbers that are divisible by 6 in order to determine the answer. In the formula, substitute the determined smallest and biggest 3-digit number values to determine the number of 3-digit numbers that are divisible by 6.
    100 is the smallest 3-digit number.
    999 is the largest 3-digit number.
    102 is the smallest 3-digit number that can be divided by 6.
    996 is the biggest 3-digit number that can be divided by 6.
    Since a and b are multiples of n and a > b, we know that the number of numbers between 'a' and 'b' that are divisible by n is equal to .
    When compared to the data obtained, we obtain
    a has a value of 996.
    b has a value of 102.
    n has a value of 6.
    When we change the values in the provided equation, we obtain
    The number between 996 and 102 that may be divided by 6 equals
    There are 150 3-digit numbers that can be divided by 6.
    Hence, the correct option is 2.
     
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