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Read the following data and answer the question. During a National Games athletes from different states of the country participated in the different sporting events. In the given table, data…

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Read the following data and answer the question.

During a National Games athletes from different states of the country participated in the different sporting events. In the given table, data regarding the number of participants from five of the states are given as per the type of events they competed in.

Events ->
States ↓		Track
Events		Field
Events		Swimming
Events		Racket
Sports		Boxing and
Wrestling
Punjab420312540168360
Haryana288384480216384
Bihar552360432192456
Kerala528576504144408
Manipur336432408240396


67.5%67.5 \% of all participants from Kerala at the Games were female. If we look at the sex-ratio of participants from Kerala as per the type of events, 56.25%56.25 \% of those in track events and 79\frac{7}{9} of those in field events were female. The ratio of female and male participants from the state in swimming events was given as 9:59: 5. If the number of female participants from Kerala in boxing and wrestling was yy times the number of their male counterparts in the same type of events, which of the following is the closest to the minimum value of yy ?
  1. -2.4
  2. 1.5
  3. 3.5
  4. 3.8

Answer and explanation

Correct answer: B - 1.5
Kerala total = 2160; females = 0.675 x 2160 = 1458. Track 0.5625 x 528 = 297, Field 7/9 x 576 = 448, Swimming 9/14 x 504 = 324; sum 1069, so racket + boxing/wrestling females = 389. y is minimised when boxing females are fewest, i.e. all 144 racket participants are female: boxing females = 245, males = 163, y = 245/163 = 1.50.

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