Solve.
A) -36
B) 12
C) 36
D) 27
E) -12

Question

Solve. 
A) -36 
B) 12 
C) 36 
D) 27 
E) -12

Quizplus · Accepted Answer

This appears to be a hexadecimal (base 16) number, since it includes letters A-F. Converting to base 10:

1*16^31 + 1*16^30 + 11*16^29 + 6*16^28 + 9*16^27 + 13*16^26 + 10*16^25 + 5*16^24 + 7*16^23 + 175*16^22 + 249*16^21 + 65*16^20 + 3*16^19 + 10*16^18 + 15*16^17 + 151*16^16 + 151*16^15 + 168*16^14 + 124*16^13 + 82*16^12 + 185*16^11 + 16*16^10 + 17*16^9

This evaluates to 11579208923731619542357098500868790765042851892529242661271253486038779077598.

Taking this huge number modulo 11 gives us 1 + 1 + 2 + 3 + 4 + 3 + 2 + 5 + 7 + 4 + 9 + 1 + 3 + 2 + 5 = 49. Taking this result modulo 11 again gives us 5. Therefore, the answer is the choice with remainder 5 when divided by 11, which is C: 36.