t! would be odd for only two values of t, 0 and 1 as 0! = 1! = 1. So, we get t = 0 or 1. These are not unique values. This statement alone is NOT sufficient.
The correct answer is among B/C/E.
t = even means that it can be any even number, 0,2,4,6 ... Hence, statement (2) by itself is NOT sufficient.
The correct answer is between C/E.
Statement (1 & 2)
From statement (1), x can be either 0 or 1 and from statement (2), x can be even, which implies x = 0, an even number. Both the statements together are SUFFICIENT.
Correct choice is C; both statements together are sufficient.