Question

How many three digit number which are divisible and multiply by 11
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Answer 1

Answer:

There are 81 numbers which are exactly divisible by 11

Step-by-step explanation:

its an ap problem

here

a is 110 (first 3 digit number divisible by 11)

d is 11

l is 990(last divisible 3 digit number)

a +(n-1)d = l

110 +(n -1)11 = 990

solve for n

it is the answer

81

Answer 2

Answer:

Ast Three Digit Divisible By 11 = 990

First Three Digit Divisible By 11 = 110

Using Sum Of Ap

N/2(220+(N-1) 11) = N/2(110+990)

220+11n-11=1100

11n=880+11

N=81

Other Way Of Doing =

Subtracting (Three Digit + Two Digit Multiples) By Two Digit Multiples

Highest Three Digit Divisible By 11 = 990

= 11*90

Two Digit Highest = 99

=11*9

Therefore Three Digit Multiples Of 11 = 90-9 = 81

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