Aptitude

Topic: Functions

Cerain operation: f() is defined as a)f(1)=2 ;b) f(x+y)=f(x)f(y); for all positive x and y integers. Given sum(f(x)) for x=1 to n is 1022 what is the value of nA) 8B) 9C) 10D) 11E) None of the above.

f(1)= 2f(1+1)= f(1).f(1)=2*2f(1+1+1)=f(2).f(1)=2*2*2...............f(1+1+1....+n times)=  2*2*2*....*n times = 1024 = 2*2*2*....10 timesn = 10 times ...if question would be  "Given sum(f(x)) for x=1 to n is '1024' (not 1022) what is the value of n"Hence correct answer is E.

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