Q.

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
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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