How many three digit numbers are divisible by 7??(^_^)
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QUESTION - HOW MANY THREE DIGIT NUMBER ARE DIVISIBLE BY 7 ?
ANSWER
There are 128 three - digit numbers that are completely divisible by 7
Those numbers are :
105 , 112 ,119 .............................. 994
HOW DID WE GET IT ?
The process would be very long to figure all numbers out , so we would use Arithmetic progression formula,
That is An = a + (n-1)d
here An is the last term
n is the number of terms, which we have to find.
a is the first term
d is the common difference
So, putting the values in the formula,
994 = 105 + (n-1) 7
994 - 105 = (n-1) 7
889 = (n-1) 7
889/7 = n-1
127 = n-1
n = 28
THEREFORE, THERE ARE 128 THREE DIGIT NUMBERS THAT ARE DIVISIBLE BY 7.
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