Question : The table given below shows the number of students from five classes playing different games.
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
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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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