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Direction to solve :
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.

01.

What are the average marks obtained by all the seven students in Physics? (rounded off to two digit after decimal)

A.	77.26	B.	89.14
C.	91.37	D.	96.11

Answer and Explanation

Answer: 89.14

Explanation:

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02.

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

A.	1	B.	2
C.	3	D.	None

Answer and Explanation

Answer: 2

Explanation:
From the table it is clear that Sajal and Rohit have 60% or more marks in each of the six subjects.

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03.

What was the aggregate of marks obtained by Sajal in all the six subjects?

A.	409	B.	419
C.	429	D.	449

Answer and Explanation

Answer: 449

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.

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04.

In which subject is the overall percentage the best?

A.	Maths	B.	Chemistry
C.	Physics	D.	History

Answer and Explanation

Answer: Maths

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:
(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.

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05.

What is the overall percentage of Tarun?

A.	52.5%	B.	55%
C.	60%	D.	63%

Answer and Explanation

Answer: 60%

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.

Overall percentage of Tarun =
360/600 x 100 % = 60%.

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