Set 7 Q8 - remainder when divided by 3

[arocks]

How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ?

A. 15
B. 16
C. 17
D. 18
E. 19

I got B. The OA is C. Please explain. Thanks

[josephcho77]

I assume that you did not count "1"
Remainder is 1 when 1 is divided by 3.

1 + 16 number has remainder 1

[arocks]

Thanks. I used (3n+1); the maximum value of n=16 to satisfy the condition. I should have used n=0 also to get the remainder 1 or followed the approach you suggested.
But works for now!