In the previous question what can be the minimum and maximum value of A rsquo s average if 5 teams a...........

Quant (SSC) Average

In the previous question, what can be the minimum and maximum value of A’s average if 5 teams are transferred from B to A?

20.8 and 22.4

20.6 and 22.6

20.8 and 22.8

20.8 and 21.8

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Explanation:

For minimum, teams with minimum score would be transferred from B to A
So, total score transferred = 24 * 5 = 120
A(Minimum Average) = (20 x 20 + 120) /25 = 20.8
For maximum, if we take teams with maximum score,
total score transferred = 32 * 5 = 160
However, if we assume that 5 teams scored the highest score, the average of remaining teams in B would come out to be,
(625 - 160) /20 = 465/20 = 23.25 which is lower than the lowest score of B. So, 5 teams in B can’t have score of 32.
so, minimum total score which need to be on group B = 24 * 20 = 480
Score that can be transferred = 625 – 480 = 145
A(Maximum Average) = (400 + 145)/25 = 545/25 = 21.8