How many three digit numbers are present which are divisible by 6?
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This is a very easy Question. I will also try to give you a shortcut at the end (if possible)
the first 3 digit number will be 102. And the last will be 996. This is simple maths and number of terms in this series can be calculated with the use of the Formula
996 = 102 + (n-1)*6 , where 6 is the common difference.
From here, we can say n = 150. So there are 150 such numbers
Shortcut. 1000/6 = 166.67, So there are 166 such numbers under 1000. Also , 100/6 = 16.67, so there are 16 such numbers below 100. So from this we can say that 166–16 = 150 numbers lie between 100 and 1000.
the first 3 digit number will be 102. And the last will be 996. This is simple maths and number of terms in this series can be calculated with the use of the Formula
996 = 102 + (n-1)*6 , where 6 is the common difference.
From here, we can say n = 150. So there are 150 such numbers
Shortcut. 1000/6 = 166.67, So there are 166 such numbers under 1000. Also , 100/6 = 16.67, so there are 16 such numbers below 100. So from this we can say that 166–16 = 150 numbers lie between 100 and 1000.
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