To continue the sequence of tiles shown, the tile indicated by the question mark should be

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?

Answer 1

The six tiles given carry 0, 1, 1, 2, 3, and 5 dots in order. Look closely and each number is the sum of the two numbers right before it, which is the well known Fibonacci pattern: $0, 1, 1, 2, 3, 5, 8, 13, ...$. The missing tile should continue this same list, so it needs $3 + 5 = 8$ dots. Now check each option against this target of 8.

Option (A), 4 dots: This does not equal $3+5=8$, so it breaks the running-sum pattern. Rejected.
Option (B), 6 dots: Also not equal to 8, and it does not fit as the sum of the previous two terms (3 and 5). Rejected.
Option (C), 8 dots: This equals $3 + 5$, exactly the next Fibonacci term after the given sequence. This fits.
Option (D), 9 dots: One dot too many for the pattern; $9 \neq 3+5$. Rejected.

Only option (C) supplies the correct dot count of 8, so it is the tile that should replace the question mark.

Let's summarize:

The dot counts on the six tiles follow the Fibonacci rule: each term is the sum of the two before it.
The next term after 3 and 5 must be $3+5=8$.
Among the choices, only option (C) carries 8 dots.

So the tile that continues the sequence is option (C), the one with 8 dots.

Answer 2

The six tiles given carry 0, 1, 1, 2, 3, and 5 dots in order. Look closely and each number is the sum of the two numbers right before it, which is the well known Fibonacci pattern: $0, 1, 1, 2, 3, 5, 8, 13, ...$. The missing tile should continue this same list, so it needs $3 + 5 = 8$ dots. Now check each option against this target of 8.

Option (A), 4 dots: This does not equal $3+5=8$, so it breaks the running-sum pattern. Rejected.
Option (B), 6 dots: Also not equal to 8, and it does not fit as the sum of the previous two terms (3 and 5). Rejected.
Option (C), 8 dots: This equals $3 + 5$, exactly the next Fibonacci term after the given sequence. This fits.
Option (D), 9 dots: One dot too many for the pattern; $9 \neq 3+5$. Rejected.

Only option (C) supplies the correct dot count of 8, so it is the tile that should replace the question mark.

Let's summarize:

The dot counts on the six tiles follow the Fibonacci rule: each term is the sum of the two before it.
The next term after 3 and 5 must be $3+5=8$.
Among the choices, only option (C) carries 8 dots.

So the tile that continues the sequence is option (C), the one with 8 dots.

To continue the sequence of tiles shown, the tile indicated by the question mark should be

Show Hint

The Correct Option is C

Solution and Explanation

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