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.
What is the overall percentage of Tarun?
52.5%
55%
60%
63%
Correct answer is C
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.
Therefore Overall percentage of Tarun = ( 360/600 x 100 ) % = 60%.
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.
In which subject is the overall percentage the best?
Maths
Chemistry
Physics
History
Correct answer is A
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:
(i) Maths = [ 1/7 x (90 + 100 + 90 + 80 + 80 + 70 + 65) ] % = [ 1/7 x (575) ] % = 82.14%.
(ii) Chemistry = [ 1/7 x (50 + 80 + 60 + 65 + 65 + 75 + 35) ] % = [ 1/7 x (430) ] % = 61.43%.
(iii) Physics = [ 1/7 x (90 + 80 + 70 + 80 + 85 + 65 + 50) ] % = [ 1/7 x (520) ] % = 74.29%.
(iv) Geography = [ 1/7 x (60 + 40 + 70 + 80 + 95 + 85 + 77) ] % = [ 1/7 x (507) ] % = 72.43%.
(v) History = [ 1/7 x (70 + 80 + 90 + 60 + 50 + 40 + 80) ] % = [ 1/7 x (470) ] % = 67.14%.
(vi) Comp. Science = [ 1/7 x (80 + 70 + 70 + 60 + 90 + 60 + 80) ] % = [ 1/7 x (510) ] % = 72.86%.
Clearly, this percentage is highest for Maths.
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.
What was the aggregate of marks obtained by Sajal in all the six subjects?
409
419
429
449
Correct answer is D
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
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.
The number of students who obtained 60% and above marks in all subjects is?
1
2
3
None
Correct answer is B
From the table it is clear that Sajal and Rohit have 60% or more marks in each of the six subjects.
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.
77.26
89.14
91.37
96.11
Correct answer is B
Average marks obtained in Physics by all the seven students
= 1/7 x [ (90% of 120) + (80% of 120) + (70% of 120) + (80% of 120) + (85% of 120) + (65% of 120) + (50% of 120) ]
= 1/7 x [ (90 + 80 + 70 + 80 + 85 + 65 + 50)% of 120 ]
= 1/7 x [ 520% of 120 ]
= 624/7
= 89.14
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