In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[EX Q]: Problem: how many 3 - digit positive integers are there , where each digit is positive , and no 3 adjacent digits are same ?
Options: a ) 1236 , b ) 504 , c ) 4096 , d ) 4608 , e ) 6561
[EX A]: b

[EX Q]: Problem: how many positive integers less than 100 have a remainder of 6 when divided by 13 ?
Options: a ) 2 , b ) 7 , c ) 6 , d ) 9 , e ) 10
[EX A]: c

[EX Q]: Problem: the average weight of 8 person ' s increases by 5 kg when a new person comes in place of one of them weighing 35 kg . what might be the weight of the new person ?
Options: a ) 80 kg , b ) 85 kg , c ) 75 kg , d ) 100 kg , e ) 110 kg
[EX A]:
c