Question Details

Read the given information and answer the question that follows.

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination. The number in the brackets give the maximum marks in each subject.

StudentSubject (Max. Marks)
Maths
(150)
Chemistry
(130)
Physics
(120)
Geography
(100)
History
(60)
Computer Science
(40)
Ayush905090607080
Aman1008080408070
Sajal906070709070
Rohit806580806060
Muskan806585955090
Tanvi707565854060
Tarun653550778080

If someone secured all the highest scores obtained by any student in the six subjects as given in the table above, what would be the exact overall percentage score obtained by that student?

Options

A

90*5/6 %

B

91*1/6 %

C

95.16 %

D

91 %

Show Answer

Correct Answer :

Option B

91*1/6 %

91*1/6 %

Solution :

To find the overall percentage score obtained by a student who secured the highest score in each of the six subjects, we first need to determine the maximum marks and the highest marks obtained in each subject.

Note that the values given in the table are percentages of marks obtained, not the marks themselves.

Let's calculate the highest marks obtained in each subject:

1. Maths (Maximum Marks = 150):
The highest percentage obtained in Maths is 100% (by Aman).
Highest marks in Maths = 100% of 150=150

2. Chemistry (Maximum Marks = 130):
The highest percentage obtained in Chemistry is 80% (by Aman).
Highest marks in Chemistry = 80% of 130=80100×130=104

3. Physics (Maximum Marks = 120):
The highest percentage obtained in Physics is 90% (by Ayush).
Highest marks in Physics = 90% of 120=90100×120=108

4. Geography (Maximum Marks = 100):
The highest percentage obtained in Geography is 95% (by Muskan).
Highest marks in Geography = 95% of 100=95

5. History (Maximum Marks = 60):
The highest percentage obtained in History is 90% (by Sajal).
Highest marks in History = 90% of 60=90100×60=54

6. Computer Science (Maximum Marks = 40):
The highest percentage obtained in Computer Science is 90% (by Muskan).
Highest marks in Computer Science = 90% of 40=90100×40=36

Now, let's find the total maximum marks and the total highest marks obtained across all six subjects:

Total Maximum Marks = 150+130+120+100+60+40=600

Total Marks Obtained = 150+104+108+95+54+36=547

Finally, we calculate the overall percentage score:

Overall Percentage = 547600×100%=5476%

Converting this fraction into a mixed fraction:

5476=9116

Thus, the exact overall percentage score is 9116% (or 91*1/6 %).

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