# table chart aptitude questions

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

Explanation:

Average marks obtained in Physics by all the seven students

=     1     x [ (90% of 120) + (80% of 120) + (70% of 120)
7
+ (80% of 120) + (85% of 120) + (65% of 120) + (50% of 120) ]

=     1     x [ (90 + 80 + 70 + 80 + 85 + 65 + 50)% of 120 ]
7

=     1     x [ 520% of 120 ]
7

=     624
7
= 89.14.

2.

The number of students who obtained 60% and above marks in all subjects is?
A.     1    B.     2
C.     3    D.     None

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

4.

In which subject is the overall percentage the best?
A.     Maths    B.     Chemistry
C.     Physics    D.     History

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     x (90 + 100 + 90 + 80 + 80 + 70 + 65)     ]     %
7

=     [     1     x (575)     ]     %
7
= 82.14%.
(ii) Chemistry
=     [     1     x (50 + 80 + 60 + 65 + 65 + 75 + 35)     ]     %
7

=     [     1     x (430)     ]     %
7
= 61.43%.
(iii) Physics
=     [     1     x (90 + 80 + 70 + 80 + 85 + 65 + 50)     ]     %
7

=     [     1     x (520)     ]     %
7
= 74.29%.
(iv) Geography
=     [     1     x (60 + 40 + 70 + 80 + 95 + 85 + 77)     ]     %
7

=     [     1     x (507)     ]     %
7
= 72.43%.
(v) History
=     [     1     x (70 + 80 + 90 + 60 + 50 + 40 + 80)     ]     %
7

=     [     1     x (470)     ]     %
7
= 67.14%.
(vi) Comp. Science
=     [     1     x (80 + 70 + 70 + 60 + 90 + 60 + 80)     ]     %
7

=     [     1     x (510)     ]     %
7
= 72.86%.

Clearly, this percentage is highest for Maths.

5.

What is the overall percentage of Tarun?
A.     52.5%    B.     55%
C.     60%    D.     63%

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.

Therefore Overall percentage of Tarun =     (     360     x 100     )     % = 60%.
600