In researching this question, it would seem there is no "correct" answer. This is a question often found on IQ, caliper, and personality tests. The answer set is always, "s, x, i, y." The common theory is this question is used to gauge a person's attitude towards a difficult, if not impossible, situation or there is some kind of psychological meaning attached to each answer choice.
why would the letter I be the next letter in the sequence: C A R R
C
TD,r
It's the alphabet spaced by prime numbers: a+2=c, c+3=f, f+5=k, k+7=r, r+11 takes you past the end so start again at a = c.
It looks as if every third letter is an "r"; the remaining letters are in sequence.
why would the letter I be the next letter in the sequence: C A R R
A
Y
y
b
CRC CBO and COL
C
TD,r
It's the alphabet spaced by prime numbers: a+2=c, c+3=f, f+5=k, k+7=r, r+11 takes you past the end so start again at a = c.
B
R and P
It looks as if every third letter is an "r"; the remaining letters are in sequence.