Elitmus Exam Numerical Ability Number System

in a certain examination paper there are n questions. For j=1,2,3,.....n, there are 2^(n-1) students who answered j or more question wronlgy. if the total number of wrong answers is 4096 then the value of n is
a)12
b)11
c)10
d)9

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Elitmus Other Question

how many six digit number can be formed using the digits 1 to 6, without repetition, such that the number is divisble by the digit at unit's place if v,w,x,y,z are non negative intergers each leass than 11,then how many distinct combinations are possible of(v,w,x,y,z) satisfy v(11^4) +w(11^3)+ x(11^2)+ y(11) +z=151001