Multiple choice

Passage

There are 3 classes having 20, 25 and 30 students respectively having average marks in an examination as 20, 25 and 30, respectively. If the three classes are represented by A, B and C and you have the following information about the three classes, answer the questions that follow: A A Highest score 22, Lowest score 18 B A Highest score 31, Lowest score 23 C A Highest score 33, Lowest score 26 If five students are transferred from A to B.

In a transfer of 5 students from A to B, the maximum possible average achievable for group B is

  1. 25

  2. 24.5

  3. 25.5

  4. 24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Group B initially has 25 x 25 = 625 total marks. To maximize its new average, transfer five students scoring 22 each from A, giving a total of 735 marks for 30 students, so the average is 24.5.

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