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

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149

150

151

166

answer is B.

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Detailed 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
Question Image

There are 150 3-digit numbers that can be divided by 6.
Hence, the correct option is 2.

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