Exercise :: Table Charts  Table Chart 3
The following table gives the percentage of marks obtained by seven students in six different subjects in an examination.
The Numbers in the Brackets give the Maximum Marks in Each Subject.
Student  Subject (Max. Marks)  
Maths  Chemistry  Physics  Geography  History  Computer Science  
(150)  (130)  (120)  (100)  (60)  (40)  
Ayush  90  50  90  60  70  80 
Aman  100  80  80  40  80  70 
Sajal  90  60  70  70  90  70 
Rohit  80  65  80  80  60  60 
Muskan  80  65  85  95  50  90 
Tanvi  70  75  65  85  40  60 
Tarun  65  35  50  77  80  80 
1.  What are the average marks obtained by all the seven students in Physics? (rounded off to two digit after decimal) 

Answer: Option B Explanation: Average marks obtained in Physics by all the seven students

2.  The number of students who obtained 60% and above marks in all subjects is? 

Answer: Option B Explanation: From the table it is clear that Sajal and Rohit have 60% or more marks in each of the six subjects. 
3.  What was the aggregate of marks obtained by Sajal in all the six subjects? 

Answer: Option D Explanation: Aggregate marks obtained by Sajal = [ (90% of 150) + (60% of 130) + (70% of 120) + (70% of 100) + (90% of 60) + (70% of 40) ] = [ 135 + 78 + 84 + 70 + 54 + 28 ] = 449. 
4.  In which subject is the overall percentage the best? 

Answer: Option A Explanation: We shall find the overall percentage (for all the seven students) with respect to each subject. The overall percentage for any subject is equal to the average of percentages obtained by all the seven students since the maximum marks for any subject is the same for all the students. Therefore, overall percentage for:
Clearly, this percentage is highest for Maths. 
5.  What is the overall percentage of Tarun? 

Answer: Option C Explanation: Aggregate marks obtained by Tarun = [ (65% of 150) + (35% of 130) + (50% of 120) + ((77% of 100) + (80% of 60) + (80% of 40) ] = [ 97.5 + 45.5 + 60 + 77 + 48 + 32 ] = 360. The maximum marks (of all the six subjects) = (150 + 130 + 120 + 100 + 60 + 40) = 600.
