The correct option is C XXXI and XIX
A symbol is not repeated more than three times. But the symbols V, L and D are never repeated.
31 = 30 + 1
30 in Roman numerals can be written as XXX
and 1 as I
Therefore, 31 = XXXI
19 = 10 + 9 = 10 + (10 - 1)
10 in Roman numerals can be written as X
and 9 as IX
(If a symbol of smaller value is written to the left of a symbol of greater value, its value is subtracted from the value of the greater symbol.)
Therefore, 19 = XIX