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If 1/(20 - a) (40 - a) + 1/(40 - a) (60 - a) + ......+ 1/(180 - a) (200 - a) = 1/256 , then the maximum value of a is :

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If 1/(20 - a) (40 - a) + 1/(40 - a) (60 - a) + ......+ 1/(180 - a) (200 - a) = 1/256 , then the maximum value of a is :

(A) 198 

(B) 202 

(C) 212 

(D) 218

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Correct option is (C) 212 

By splitting

Hence maximum value of a is 212.

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