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If [n] denotes the greatest integer not exceeding n and x is a positive integer with 1 < = x<= 2008 , then the number of solutions of the equation : [x/2]+[x/3]+[x/4]=x/2+x/3+x/4 , is

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Solution:      LCM 2.3.4 is 12. the total number of positive

                       Integers not exceeding 2008 that are divisible by 2,3,4 is

                        Rightarrow                     [frac200812]=167.                

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Deependra Verma

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