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Find the number of three digit numbers which are divisible by 11

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The number of three digit numbers which are divisible by 11 are 110, 121, ...990.

a= 110, d=11

l = a +(n-1)d

990 = 110 +(n-1)11

80=n-1

n=81 

S = n/2{2a+(n-1)d}

S = 81/2{2x11+80x11}

S = 81{11+40x11}

S = 81x11x41

S = 36531

Posted by

Ravindra Pindel

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