Data Interpretation

Directions—(1–5) Study the following table carefully and answer the questions given below it

The table gives the percentage of marks scored by six students in different subjects. The total marks in each subject is also given with the subject.

1. What is approximate overall percentage obtained by Charu in the examination ?
(1) 78  
(2) 69
(3) 75  
(4) 71
(5) 65

2. What is the difference in the marks obtained by Dheeraj in English and the marks obtained by Manoj in the same subjects ?
(1) 12  
(2) 6.5
(3) 10  
(4) 8
(5) None of these

3. The marks obtained by Ankur in Geography are approximately what per cent of the marks as it is obtained by Kalpana in Hindi ?
(1) 45
(2) 33
(3) 50
(4) 60
(5) None of these

4. What is the overall percentage of marks obtained by Kalpana in History and Geography together ?
(1) 73•40
(2) 72•80
(3) 70•50
(4) 68•80
(5) None of these

5. What is the average marks obtained by all the students together in Science ?
(1) 79•5  
(2) 120•50
(3) 118
(4) 121
(5) None of these

Answer
1. (2)
Total marks of Charu = 72% of 100 + 60% of 100 + 68% of 150 + 74% of 60 + 68% of 150 + 75% of 40
= 72 + 60 + 102 + 44.4 + 102 + 30 = 410.4
Percentage of marks = 410.4/600 * 100 = 69 approx

2. (3
Required difference = (85 – 75) = 10

3. (2)
Required percentage = 55% of 40/66% of 100 * 100 = 33.33%

4. (2)
Required percentage = (80% of 60 + 62% of 40)/ (60 + 40) * 100 = 72.8

5. (5)
Average marks of all students in science = (82 + 85 + 72 + 80 + 68 + 90)/6 * 150/100 = 119.25