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CAT 2003 Slot 2 — DILR Question 40

Mixed PracticeEasy
Passage / Data

Answer the following question based on the information given below.

In a Decathlon, the events are 100m, 400m, 100m hurdles, 1500m, High jump, Pole vault, Long jump, Discus, 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 bronze medals, respectively. The table given below gives the scores and performance of nineteen top athletes in this event.

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At least how many competitors (excluding Daley Thompson) must Michael Smith have out-jumped in the long jump event?

Answer & solution

Correct answer: 4

  • A

    1

  • B

    2

  • C

    3

  • 4

Solution

​​​​​​​

Score 2 includes high jump, pole vault and long jump.

Score 2 of Michael Smith = 5274 (7th rank)

Michael’s score in High Jump is 1.97 and in Pole Vault is 4.9

Scores of six competitors less than 5274 are tabulated as shown above.

Michael may or may not have out jumped Tomas, as Michael’s score in pole vault and high jump are higher than those of Tomas.

Michael must have out jumped Torsten as his score in pole vault and high jump are lower than that of Torsten and also Michael scores higher than Torsten.

By similar logic, Michael must have out jumped Jurgen, Grigory and Steve as Michael’s corresponding scores in pole vault and high jump are lower than those of Grigory and Steve.

∴ These are at least 4 competitors whom Michael Smith must have out jumped.

Hence, option (d).

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CAT 2003 Slot 2 DILR Q40: At least how many competitors (excluding Daley Thompson) must Michael Smith have out-jumped in the long jump e — Solution | TheCATExam