Data Sufficiency

What is the remainder when positive integer x is divided by 3?
A). When x is divided by 6, the remainder is 2.
B). When x is divided by 15, the remainder is 2.




OA D. Please help!

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

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

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