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Question

A three digit number, which is multiple of 11, is chosen at random. Probability that the number so chosen is also a multiple of 9, is equal to

A
19
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B
29
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C
1100
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D
9100
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Solution

The correct option is A 19
Three digit number divisible by 11 will belong to {10×11,11×11,12×11,...,90×11}=81 number.
The number that is also divisible by 9 will be {18×11,27×11,36×11,...,90×11}=9 numbers
n(S)=81 and n(E)=9
P(E)=19

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