Anyone knows this?

Ans is A

Inferences we can make from the question:

We know the scores of 11 students: 0,1,2,3,4,5,6,7,8,9,10

and the sum of scores of all 20 students = mean * number of students = 7* 20 = 140

The sum of score of the 11 students = 0+1+2â€¦+10 = 55

Sum of the scores of 9 students with unknown scores = 140 - 55 = 85

Now coming to quantity A:

Letâ€™s focus on the part â€śscore received by more than two studentsâ€ť.

Right now we have two sets of score - known scores of 11 students, unknown scores of 9 students

In the first set all scores occur only once, ie. no two students have received the same score

but at the same time all scores are there

So we can establish that all scores in the unknown set satisfy this criteria

Now letâ€™s give attention to part â€ś**lowest score** received by more than one studentâ€ť

This means that the lowest score in the unknown set will be â€ślowest score received by more than one studentâ€ť

And finally letâ€™s give attention to â€ślowest score that **could have been** received by more than one studentâ€ť

This means that I can make approximations about the unknown scores such that one of the quantity is minimized as much as possible

To minimize the score of one student (x), I will have to maximize all 8 others, to keep their sum constant

So, x +10 +10 + 10 +10 â€¦ +10 = 85

x + 80 = 85

x = 5

5 > 4

Ans. A

2 Likes

Thanks a lot Vidisha