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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 Æ Highest score 22, Lowest score 18
B Æ Highest score 31, Lowest score 23
C Æ Highest score 33, Lowest score 26
If five students are transferred from A to B.
What will happen to the average score of B?
  • a)
    Definitely increase
  • b)
    Definitely decrease
  • c)
    Remain constant
  • d)
    Cannot say
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
There are 3 classes having 20, 25 and 30 students respectively having ...
Class A: 20 students, average marks 20
Class B: 25 students, average marks 25
Class C: 30 students, average marks 30

1. What is the total number of students in the three classes?
Total number of students = 20 + 25 + 30 = 75

2. What is the overall average marks of the three classes?
Overall average marks = (20*20 + 25*25 + 30*30)/(20+25+30) = 25

3. If the passing marks are 18, how many students from each class have passed the exam?
Number of students in Class A who passed = 20
Number of students in Class B who passed = 25
Number of students in Class C who passed = 30

4. If the passing marks are 18, what is the percentage of students who have passed the exam in each class?
Percentage of students passed in Class A = (20/20)*100 = 100%
Percentage of students passed in Class B = (25/25)*100 = 100%
Percentage of students passed in Class C = (30/30)*100 = 100%
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Community Answer
There are 3 classes having 20, 25 and 30 students respectively having ...
Definitely decrease, since the highest marks in Class A is less than the lowest marks in Class B.
 
So, the correct answer is B
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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 Æ Highest score 22, Lowest score 18B Æ Highest score 31, Lowest score 23C Æ Highest score 33, Lowest score 26If five students are transferred from A to B.What will happen to the average score of B?a)Definitely increaseb)Definitely decreasec)Remain constantd)Cannot sayCorrect answer is option 'B'. Can you explain this answer?
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