Question

Lokesh, a science teacher, conducted an exam which was

attempted by exactly eight students. A through H. The score

of any student is an integer from 0 to 100. After the evaluation,

Lokesh gave the following scores to the students and ranked

them from 1 to 8 in the descending order of their scores.

Students A B C D E F G H

Score 64 78 43 39 83 60 52 92

However, after the students received their scores, some of

them approached Lokesh and asked that their papers be re-

evaluated. Lokesh re-evaluated their responses and the

scores of all the students who approached him increased after

re-evaluation. Further, the scores of none of the other

students changed after re-evaluation.

The following information is known about their scores of all the

eight students after re-evaluation.

(i) The score of no two students were the same.

(ii) The rank of any student after the re-evaluation was not the

same as that before the re-evaluation.

(iii) The total increase in the scores of all the students was not

more than 50.

1. If exactly two students approached Lokesh for re-

evaluation, the increase in the scores of all the students who

approach Lokesh is at least

2. What is the minimum possible increase in the scores of all

the students who approached Lokesh for re-evaluation?

3. If the total increase in the scores of all the students who

approached Lokesh for re-evaluation is the minimum possible,

what is the highest percentage increase in the score of any

student?

(A) 12.8% (B) 19.2% (C) 22.0% (D) 25.0%

4. If exactly three students approached Lokesh for re-

evaluation, what is the maximum possible increase in the

score of any student who approached Lokesh?

(A) 41 (B) 44 (C) 45 (D) 39​

Answer 1

44 is answer bro ok va bro