What is the remainder when positive integer x is divided by 6?
(1) When x is divided by 2, the remainder is 1 and when x is divided by 3 then the remainder is 0.
(2)When x is divided by 12, the remainder is 3.
1) When x/2, r= 1. Hence x = 1,3,5,7,9,11,13,15.......
When x/3, r= 0. Hence x = 3,6,9,......
Hence x can be odd multiple of 3.
Now 3/6 ....r = 3 9/6 ........r = 3 15/6 .......r = 3
Suff
2) When x/12, r= 3. Hence x = 3,15,27....
3/6 ....r = 3 15/6 ...r = 3 27/6 ...r = 3
Suff
Ans : D
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