octave, 148 bytes

Result

WA

Code [DL]

for i=0:49
	g=hex2dec(input(''));
	A=[0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171 190 210 231 253];
	t=0;
	disp(any(all(A==g)))
endfor

stdin

00000110
00000001
00011001
10101111
11111110
10111110
01001111
11111100
10011001
11011110
01101001
01000111
01111101
11001100
01111000
01011110
01101001
11000100
11101101
00010101
00000000
11111101
01001110
10101011
01101001
00100100
00001111
10001000
10011111
00001001
11101110
00101101
10100100
11111010
10111111
01110100
00001101
01101000
01100101
11010010
01000101
01011011
00011100
00110111
00000011
00001010
11100111
01000001
01001011
01000010

stdout

stderr

octave: X11 DISPLAY environment variable not set
octave: disabling GUI features
error: base2dec: S must be a string or cellstring
error: execution exception in /volume/CODE

strace