GATE CS 2026 Set 1 — Question 9
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Question
In the 2020 summer Olympics’ Javelin throw finals, Neeraj Chopra exhibited a spectacular performance to win the gold medal. The silver medal was won by Jakub Vadlejch and the bronze medal was won by Vitezlav Vesely. There were six rounds of throws with each athlete having one throw per round. The best of all the throws of each athlete is considered for the medal. Following were the observations about the throws:i. The first and second rounds were dominated by Neeraj Chopra with a gold medal performance in his second throw, while the other two athletes did not have any medal winning throws in these rounds.
ii. The throws in the last round by both Jakub Vadlejch and Vitezlav Vesely were fouls and were not considered for scoring.
iii. After four rounds, Vitezlav Vesely was in the second position and could not improve upon his best throw in the succeeding rounds.
iv. In the fourth round, the throw by Jakub Vadlejch was the best in that round.In which round did Vitezlav Vesely have his best throw?
ii. The throws in the last round by both Jakub Vadlejch and Vitezlav Vesely were fouls and were not considered for scoring.
iii. After four rounds, Vitezlav Vesely was in the second position and could not improve upon his best throw in the succeeding rounds.
iv. In the fourth round, the throw by Jakub Vadlejch was the best in that round.In which round did Vitezlav Vesely have his best throw?
Correct answer
(A) Third
Solution
Let's analyze the information for Vitezlav Vesely:
1.Statement (i): Vitezlav did not have a medal-winning throw in Round 1 or Round 2.
2.Statement (ii): Round 6 was a foul for Vitezlav.
3.Statement (iii): After Round 4, Vitezlav was in 2nd position and did not improve later. This implies his best throw occurred in Rounds 1, 2, 3, or 4. Since he didn't improve later, Round 5 is also ruled out as a best throw.
4.Combining (1) and (3), Vitezlav's best throw must be in Round 3 or Round 4.
5.Statement (iv): In Round 4, Jakub Vadlejch had the best throw of that round. This means Jakub's Round 4 throw > Vitezlav's Round 4 throw.
6.Statement (iii) again: After Round 4, Vitezlav was in 2nd position (behind Neeraj, ahead of Jakub). This means Vitezlav's Best Throw (so far) > Jakub's Best Throw (so far).
- If Vitezlav's best throw was in Round 4, then Vitezlav's Best = Vitezlav's R4.
- From (5), Jakub's R4 > Vitezlav's R4.
- Therefore, Jakub's R4 > Vitezlav's Best.
- If Jakub's R4 > Vitezlav's Best, then Jakub would be ahead of Vitezlav in the standings after Round 4.
- However, we know Vitezlav was 2nd (ahead of Jakub) after Round 4.
- This creates a contradiction if Vitezlav's best was in Round 4.
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