Question

600 players participated in four different events: volleyball, table tennis, badminton, and lawn tennis. The ratio between male and female players was 11:4 in volleyball, and 10% of the female players participated in table tennis. The remaining female players participated in badminton and lawn tennis in a ratio of 1:3. The ratio of male players who participated in volleyball and other events together is 3:5. 4% of those male players who did not participate in volleyball participated in lawn tennis. The remaining male players participated in table tennis and badminton in a ratio of 5:3. What is the difference between male players participating in badminton and female players participating in lawn tennis?

• A. 27
• B. 31
• C. 83
• D. 76
• E. 48

Hint:

To find the difference in the number of players, simply subtract the number of female players from the number of male players in their respective events.

Answer 1

The Correct Option is A

Step 1: Given Data
Total number of players = 600. The ratio between male and female players is 11:4. We calculate the number of male and female players: \[ \text{Total ratio} = 11 + 4 = 15 \] \[ \text{Number of male players} = \frac{11}{15} \times 600 = 440 \] \[ \text{Number of female players} = \frac{4}{15} \times 600 = 160 \] Step 2: Number of Male Players in Badminton
From the given information, the total number of male players in badminton is 99. Thus: \[ \text{Male players in badminton} = 99 \] Step 3: Number of Female Players in Lawn Tennis
The total number of female players in lawn tennis is 72. Thus: \[ \text{Female players in lawn tennis} = 72 \] Step 4: Difference Between Male Players in Badminton and Female Players in Lawn Tennis
The difference between male players in badminton and female players in lawn tennis is: \[ \text{Difference} = 99 - 72 = 27 \] Step 5: Conclusion
Thus, the difference between the number of male players participating in badminton and female players participating in lawn tennis is 27. Therefore, the correct answer is (A).