Question : The table given below shows the number of students from five classes playing different games.
| Class | Games | ||
| A | B | C | |
| 6th | 30 | 50 | 70 |
| 7th | 60 | 20 | 35 |
| 8th | 40 | 10 | 90 |
| 9th | 38 | 26 | 50 |
| 10th | 25 | 32 | 20 |
Which of the following statements is correct?
I. The average number of students playing A and B in the 9th class is 32.
II. The average number of students playing A and C in the 8th class is 75.
III. The total number of students playing all three games in the 10th class is 77.
Option 1: II and III
Option 2: I, II and III
Option 3: I and III
Option 4: I and II
Correct Answer: I and III
Solution :
I. The average number of students playing A and B in 9th class
= $\frac{38+26}{2}$
= $\frac{64}{2}$
= $32$
II. The average number of students playing A and C in the 8th class
= $\frac{40+90}{2}$
= $\frac{130}{2}$
= $65$
III. The total number of students playing all three games in the 10th class
= 25 + 32 + 20
= 77
$\therefore$ Only I and III are correct.
Hence, the correct answer is I and III.
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