30. How many are three digits numbers which are exactly divisible
by 6?
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0
Answer:
150
Thus, the number of 3-digit numbers divisible by 6 is 150.
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4
Step-by-step explanation:
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Related Questions
How many 3-digit numbers are divisible by 6 in all?
(a)149
(b)150
(c)151
(d)166
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Hint: To solve the question, we have to calculate the smallest 3-digit number divisible by 6 and the largest 3-digit number divisible by 6. To calculate the number of 3-digit numbers is divisible by 6, substitute the obtained smallest and largest 3-digit number value in the formula.
Complete step-by-step answer:
We know,
The smallest 3-digit number is 100.
The largest 3-digit number is 999.
The smallest 3-digit number divisible by 6 is 102.
The largest 3-digit number divisible by 6 is 996.
We know that the number of numbers between ‘a’ and ‘b’ divisible by n is equal to (a−bn)+1
such that a, b are multiples of n and a > b.
When compared with the obtained data, we get
The value of a = 996.
The value of b = 102.
The value of n = 6.
By substituting the values in the given equation, we get
The number of between 996 and 102 divisible by 6 is equal to
(996−1026)+1=(8946)+1
=(6×1496)+1=149+1=150
Thus, the number of 3-digit numbers divisible by 6 is 150.
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