In a certain test, ai students gave wrong answers to at least i questions where i = 1, 2, 3, …, k. No student gave more than k wrong answers. The total number of wrong answers given is
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a
a1 + a2 + … + ak
b
a1 + a2 + … + ak – 1
c
a1 + a2 + … + ak+1
d
None of these
answer is A.
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Detailed Solution
Total number of wrong answers=1⋅a1−a2+2⋅a2−a3+…+(k−1)ak−1−ak+kak=a1+a2+a3+…+ak