Multiple choice

Passage

Directions: Read the passage and answer the following question. On the occasion of an opening ceremony of a sports events in a stadium, there are a total of 1200 players participating in four different events, viz. gymnastics, table tennis, badminton and lawn tennis. The ratio of male to female players is 11 : 4. 30% of the total female players are participating in gymnastics, 10% of the total female players are participating in table tennis and the remaining female players are participating in badminton and lawn tennis in the ratio of 1 : 3. The ratio of male players who are participating in gymnastics and other events together is 3 : 5. 4% of male players who are not participating in gymnastics are participating in lawn tennis. The ratio of the remaining male players participating in table tennis and badminton is 5 : 3.

What is the total number of players (both males and females together) participating in table tennis and gymnastics?

  1. 786

  2. 840

  3. 1000

  4. None of these

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total players = 1200. Ratio M:F = 11:4. Male = 880, Female = 320. Female: Gymnastics = 30% of 320 = 96, Table Tennis = 10% of 320 = 32. Male: Gymnastics + others = 880. Ratio Gymnastics:Others = 3:5. Gymnastics = 3/8 * 880 = 330. Others = 550. Lawn Tennis = 4% of 550 = 22. Remaining = 550 - 22 = 528. Table Tennis:Badminton = 5:3. Table Tennis = 5/8 * 528 = 330. Total Table Tennis + Gymnastics = (32+330) + (96+330) = 362 + 426 = 788. Since 788 is not in the options, 'None of these' is correct.

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