Let [x] denotes the greatest integer not exceeding the real number x and if x=[1/2]+[1/2 +1/100]+[1/2+2/100]+........+[1/2+99/100], then x is equal to

Answers (1)

Solution:     Writing the given sum  in reverse order ,

                   x=[frac12+frac99100]+[frac12+frac98100]+........+[frac12+frac50100]+......+[frac12]

                Rightarrow    x=1+1+1+....+1  (50 times)+0+0+0........+0(99 times)

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