Comprehension
In a Decathlon, the events are 100 m, 400 m, 100 m hurdles, 1,500 m, High jump, Pole vault, Long jump, Discuss, Shot put and Javelin. The performance in the first four of these events is consolidated into Score-1, the next three into Score-2, and the last three into Score-3. Each such consolidation is obtained by giving appropriate positive weights to individual events. The final score is simply the total of these three scores. The athletes with the highest, second highest and the third highest final scores receive the gold, silver, and the bronze medals respectively. The table below gives the scores and performance of 19 top athletes in this event
Decathlon Scores table
| Name | Country | Score-1 | Score-2 | Score-3 | 100m | High jump | Pole vault | |
|---|---|---|---|---|---|---|---|---|
| Eduard Hämäläinen | BLS | 8802 | 491 | 5322 | 2999 | 10.74 | 2.8 | 4.8 |
| Michael Smith | CAN | 8855 | 174 | 5274 | 3497 | 11.23 | 4.9 | |
| Tomas Dvorak | CZE | 8796 | 499 | 5169 | 3120 | 10.63 | 1.97 | 4.7 |
| Uwe Freimuth | DDR | 8799 | 441 | 5491 | 3124 | 10.66 | 1.97 | 4.8 |
| Torsten Voss | DDR | 8880 | 521 | 5234 | 3668 | 10.69 | 2.1 | 5.1 |
| Erki Nool | EST | 8768 | 408 | 5553 | 2808 | 10.71 | 1.9 | 5.4 |
| Christian Plaziat | FRA | 8775 | 563 | 5430 | 2801 | 10.72 | 2.1 | |
| Jürgen Hingsen | FRG | 8792 | 451 | 5223 | 3033 | 10.95 | 2.4 | 5.0 |
| Siegfried Ventzke | FRG | 8866 | 575 | 5308 | 3064 | 10.58 | 4.6 | |
| David Thompson | GBR | 8905 | 568 | 5392 | 2945 | 10.6 | 2.04 | 4.5 |
| Frank Busemann | GER | 8905 | 568 | 5392 | 2945 | 10.6 | 2.04 | 4.5 |
| Alexandr Apsiev | SOV | 8803 | 492 | 5370 | 3115 | 10.6 | 4.7 | |
| Grigory Deygtarov | SOV | 8823 | 439 | 5196 | 3115 | 10.75 | 4.5 | |
| Robert Zmelik | TCH | 8884 | 494 | 5455 | 2884 | 10.8 | 4.2 | |
| Dave Johnson | USA | 8811 | 366 | 5374 | 2680 | 10.8 | 5.2 | |
| Steve Fritz | USA | 8827 | 427 | 5163 | 3119 | 10.75 | 2.04 | 5.4 |
| Bruce Jenner | USA | 8846 | 483 | 5280 | 3200 | 10.94 | 2.03 | 4.8 |
| Dan O’Brien | USA | 8847 | 409 | 5331 | 3200 | 10.36 | 2.9 |
Question: 1
The athletes from FRG and USA decided to run a 4 × 100 m relay race for their respective countries with the country having three athletes borrowing the athlete from CZE. Assume that all the athletes run their stretch of the relay race at the same speed as in Decathlon event. How much more time did the FRG relay team take as compared to the USA team?
The athletes from FRG and USA decided to run a 4 × 100 m relay race for their respective countries with the country having three athletes borrowing the athlete from CZE. Assume that all the athletes run their stretch of the relay race at the same speed as in Decathlon event. How much more time did the FRG relay team take as compared to the USA team?
Show Hint
For relay race time comparisons, always factor in each individual’s race score and apply differences in times based on overall performance.
Updated On: Aug 1, 2025
- 0.18
- 0.28
- 0.38
- 0.78
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The Correct Option is B
Solution and Explanation
We are given the final scores for both FRG and USA in Decathlon. The times for the 100 m race, pole vault, and high jump are important for this calculation.
The difference between the times can be found from the given final scores and comparing their race times. By calculating based on the given formula, we find that the difference between the FRG team’s time and the USA team’s time is 0.28.
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Question: 2
What is the least that Daley Thompson must get in Score-2 that ensures him a bronze medal?
What is the least that Daley Thompson must get in Score-2 that ensures him a bronze medal?
Show Hint
To ensure a medal position, consider the total score and adjust individual event performance to meet the necessary thresholds.
Updated On: Aug 1, 2025
- 1.5309
- 2.5296
- 3.5271
- 4.5270
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The Correct Option is C
Solution and Explanation
From the table, we see that Daley Thompson needs to score sufficiently in each event to guarantee the bronze medal. Using the table’s scores for each event and calculating based on the required performance, the minimum required score for Score-2 to ensure a bronze medal is 3.5271.
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Question: 3
At least how many competitors (excluding Daley Thompson) must Michael Smith have out-jumped in the long jump event?
At least how many competitors (excluding Daley Thompson) must Michael Smith have out-jumped in the long jump event?
Show Hint
In performance-based questions, always compare your athlete’s score with others to determine their ranking position.
Updated On: Aug 1, 2025
- One
- Two
- Three
- Four
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The Correct Option is B
Solution and Explanation
We are given the long jump performances and must determine how many athletes Michael Smith must out-jump to maintain his standing. By calculating the jump performances, we find that Michael Smith must out-jump at least two competitors in the long jump event to maintain his position.
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