IIT JEE 1982 Maths - 'Adapted' - FIB to MCQ Question 14

In a certain test, a i a_i students gave wrong answers to at least i i question where i = 1 , 2 , , k i=1, 2 , \ldots , k . No student gave more than k k wrong answers. Then find the total number of wrong answers given.


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i = 1 k a i \displaystyle \sum_{i=1}^ka_i i = 1 k k a i \displaystyle \sum_{i=1}^kka_i i = 1 k ( 1 ) i a i \displaystyle \sum_{i=1}^k(-1)^ia_i i = 1 k i a i \displaystyle \sum_{i=1}^kia_i

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