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Archery Tournament

CAT 2019 Slot 1 · Data Interpretation & Logical Reasoning · Medium · Logical Reasoning

This is a medium Data Interpretation & Logical Reasoning question set from the CAT 2019 Slot 1 paper. It tests Logical Reasoning. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Passage / data set

Six players – Tanzi, Umeza, Wangdu, Xyla, Yonita and Zeneca competed in an archery tournament. The tournament had three compulsory rounds, Rounds 1 to 3. In each round every player shot an arrow at a target. Hitting the centre of the target (called bull's eye) fetched the highest score of 5. The only other possible scores that a player could achieve were 4, 3, 2 and 1. Every bull's eye score in the first three rounds gave a player one additional chance to shoot in the bonus rounds, Rounds 4 to 6. The possible scores in Rounds 4 to 6 were identical to the first three.

A player's total score in the tournament was the sum of his/her scores in all rounds played by him/her. The table below presents partial information on points scored by the players after completion of the tournament. In the table, NP means that the player did not participate in that round, while a hyphen means that the player participated in that round and the score information is missing.

PlayerRound - 1Round - 2Round - 3Round - 4Round - 5Round - 6
Tanzi-4-5NPNP
Umeza---12NP
Wangdu-4-NPNPNP
Xyla---15-
Yonita--35NPNP
Zeneca---55NP

The following facts are also known:

  1. Tanzi, Umeza and Yonita had the same total score.
  2. Total scores for all players, except one, were in multiples of three.
  3. The highest total score was one more than double of the lowest total score.
  4. The number of players hitting bull's eye in Round 2 was double of that in Round 3.
  5. Tanzi and Zeneca had the same score in Round 1 but different scores in Round 3.

Question 1 of 4

What was the highest total score?

  1. A.

    23

  2. B.

    24

  3. C.

    25

  4. D.

    21

Answer

C

Explanation

Completing the score table using all given facts gives Xyla the highest total score of 25.

Question 2 of 4

What was Zeneca's total score?

  1. A.

    21

  2. B.

    22

  3. C.

    23

  4. D.

    24

Answer

D

Explanation

Zeneca's total score across 5 rounds played is calculated to be 24.

Question 3 of 4

Which of the following statements is true?

  1. A.

    Zeneca's score was 23.

  2. B.

    Zeneca was the highest scorer.

  3. C.

    Xyla was the highest scorer.

  4. D.

    Xyla's score was 23.

Answer

C

Explanation

Xyla scores a total of 25, which is the highest overall score among all players.

Question 4 of 4

What was Tanzi's score in Round 3?

  1. A.

    1

  2. B.

    5

  3. C.

    3

  4. D.

    4

Answer

C

Explanation

Tanzi's score in Round 3 is evaluated to be 3.

Why the other options are wrong

  • A.1 — does not satisfy the condition asked in this question, so it is not the correct answer.
  • B.5 — does not satisfy the condition asked in this question, so it is not the correct answer.
  • C.3 — does not satisfy the condition asked in this question, so it is not the correct answer.
  • D.4 — does not satisfy the condition asked in this question, so it is not the correct answer.

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