How many three digital numbers are divisible by 7
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Three digit numbes divisible by 7 are
105 , 112,126 ---------- 994
a= 105
common difference (d) = a2 -a1 = 112 - 105 = 7
an = 994
Using the formula of A.P i.e
an= a+ (n-1)d
994 = 105 +(n-1)7
994 = 105 + 7n -7
994 = 98 + 7n
994 -98 = 7n
896 = 7n
n= 128
Hence, there are 128 three digit numbers divisible by 7
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