Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Data Interpretation & Stats

Question:

The following table shows the percentage of marks obtained by seven students in six different subjects in an examination.

Student

Maths

Chemistry

Physics

Geography

History

 Computer Science 

 

 Maximum
marks = 150 

 Maximum
marks = 130 

 Maximum
marks = 120 

 Maximum
marks = 100 

 Maximum
marks = 110 

 Maximum
marks = 90 

Ankit

100

80

80

40

70

70

Aman

90

50

90

60

90

80

Ayush

80

65

70

70

80

70

Rohit

90

60

80

95

60

60

Tanvi

80

65

65

80

40

60

Tarun

70

75

85

77

50

90

 Muskan 

65

35

50

85

80

80

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

Options:

85.12

75.90

80.15

89.14

Correct Answer:

89.14

Explanation:

Total marks of all students in physics = 80% of 120 + 90% of 120 + 70% of 120 + 80% of 120 + 65% of 120 + 85% of 120 + 50% of 120

= \(\frac{4}{5}\) × 120 + \(\frac{9}{10}\) × 120 + \(\frac{7}{10}\) × 120 + \(\frac{4}{5}\) × 120 + \(\frac{13}{20}\) × 120 + \(\frac{17}{20}\) × 120 + \(\frac{1}{2}\) × 120

= 96 + 108 + 84 + 96 + 78 + 102 + 60

= 624

Average marks of all students in Physics = \(\frac{624}{7}\)

= 89.14