Numbers

N = 2.xxyxxyxxy…, where at most one of the digits x and y is 0. Which of the following numbers, when multiplied by N, necessarily results in an integer?

1. 198
2. 666
3. 990
4. 1998

See our previous ‘Questions of the Day’:  

Quant Question Of The Day: 127
Quant Question Of The Day: 126