Data Interpretation

Tabular Data

Medium

Read the data below and answer the questions that follow.

During the recent National Games athletes from different states of the country participated in the different sporting events. In the table below 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
Punjab	420	312	540	168	360
Haryana	288	384	480	216	384
Bihar	552	360	432	192	456
Kerala	528	576	504	144	408
Manipur	336	432	408	240	396

$67.5 \%$ 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, $56.25 \%$ of those in track events and $\frac{7}{9}$ of those in field events were female. The ratio of female and male participants from the state in swimming events was given as $9: 5$ . If the number of female participants from Kerala in boxing and wrestling was $y$ times the number of their male counterparts in the same type of events, which of the options below is the closest to the minimum value of $y$ ?

-2.4

1.5

3.5

3.8

✅ Correct Option: 2

The event-wise number of participants from the five states are as follows:

Track: 2124

Field: 2064

Swimming: 2364

Hence, the required combined number of participants will be 5.75 × 2124 + 5.25 × 2064 + 4 × 2364 = 12213 + 10836 + 9456 = 32505

Total female participants from Kerala = 2160 × 0.675 = 1458

528 × 0.5625 + 576 × 7/9 + 504 × 9/(9+5) = 297 + 448+ 324 = 1069

If all 144 participants from Kerala in racket sports were female, then the value of y will be the lowest.

1069+144 = 1213

1458 – 1213 = 245 = minimum possible number of female participants from Kerala in boxing and wrestling events.

Hence, maximum possible number of male participants from Kerala in boxing and wrestling events = 408 – 245 =163

Now, 245 ÷ 163 ≈ 1.5031 ⇒ 1.5 is the correct answer.

Question 1

Among the five types of events, which one saw maximum participation from athletes of the five given states, taken together?

Question 2

Approximately what percentage of the total number of participants from the five states taken together was equal to the total number of

participants from Punjab?

Question 3

In that National Games, if we consider participants from all states of India, including the five for which data has been provided, the total number of participants in the track events was 475% more than those who represented the five given states in track events, the total number of participants in the field events was 525% of those who represented the five given states in field events, and the total number of participants in swimming events was 4 times those who represented the five given states in swimming events. What was the combined number of participants in these three types of events at this National Games, if participants from all states of India were counted?

Solution

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