DS -- Remainders

Consider numbers here ...

1) When x is divided by 6, remainder is 2
Hence x = 8, 14, 20 etc
Therefore, when x is divided by 3 ie 8/3 remainder 2, 14/3 remainder 2, 20/3 remainder 2

Thus definitely 2 is remainder when x is divided by 3

2) When x is divided by 15, remainder is 2
Hence x = 17, 32, 47 etc
Therefore, when x is divided by 3 ie 17/3 remainder 2, 32/3 remainder 2, 47/2 remainder 2

Again, consistently 2 is remainder when x is divided by 3

Thus D

HTH

Thank you!

msch14, would appreciate if you could use the spoiler tag to hide the OA.. Thanks!

Thanks