Question

A three digit number which is a multiple of 11 is chosen at random. The probability the number so chosen is also a multiple of 9 is ______

(a) (1/9)

(b) (2/9)

(c) (1/100)

(d) (9/100)

Answer 1

The correct option (a) (1/9)   

Explanation:

digit numbers which are multiple of 11 are {121 ----------- 990} 

Total numbers = 81. 

Among these, numbers divisible by 9 i.e. by 99 are {198, 297 ---- 990}

Total numbers = 9

∴ Probability = (9/81) = (1/9).