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+2…+10 = 55
Sum of the scores of 9 students with unknown scores = 140 - 55 = 85
Now coming to quantity A:
Let’s focus on the part “score received by more than two students”.
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 let’s give attention to part “lowest score received by more than one student”
This means that the lowest score in the unknown set will be “lowest score received by more than one student”
And finally let’s give attention to “lowest score that could have been received by more than one student”
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 … +10 = 85
x + 80 = 85
x = 5
5 > 4
Ans. A
2 Likes
Thanks a lot Vidisha