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 seven tiles form a sequence where each tile is defined only by how many dots it carries. Instead of thinking about shapes, we can turn this into a pure number pattern and hunt for the rule that connects consecutive terms.

Tile counts: reading the dots tile by tile gives the list $0, 1, 1, 2, 3, 5$, and we need the seventh term.
Testing a sum rule: check if each term equals the sum of the two terms right before it. $0+1=1$, $1+1=2$, $1+2=3$, $2+3=5$. Every check passes, so the rule "add the previous two terms" explains the whole list. This is the well known Fibonacci rule.
Extending the rule: applying the same addition to the last two known terms, $3+5=8$, gives the count needed on the seventh tile.
Matching to the options: option (A) has 4 dots, option (B) has 6 dots, option (C) has 8 dots, and option (D) has 9 dots. Only option (C) carries the required 8 dots.

The tile that continues the pattern must show 8 dots, which is exactly what option (C) shows, so option (C) is correct.

Let's summarize:

Counting the dots turns a picture puzzle into a number sequence.
The sequence $0, 1, 1, 2, 3, 5, 8$ is the Fibonacci sequence, where each term is the sum of the two before it.
The missing tile needs 8 dots, matching option (C).

So the correct tile is the one with 8 dots.

Answer 2

The seven tiles form a sequence where each tile is defined only by how many dots it carries. Instead of thinking about shapes, we can turn this into a pure number pattern and hunt for the rule that connects consecutive terms.

Tile counts: reading the dots tile by tile gives the list $0, 1, 1, 2, 3, 5$, and we need the seventh term.
Testing a sum rule: check if each term equals the sum of the two terms right before it. $0+1=1$, $1+1=2$, $1+2=3$, $2+3=5$. Every check passes, so the rule "add the previous two terms" explains the whole list. This is the well known Fibonacci rule.
Extending the rule: applying the same addition to the last two known terms, $3+5=8$, gives the count needed on the seventh tile.
Matching to the options: option (A) has 4 dots, option (B) has 6 dots, option (C) has 8 dots, and option (D) has 9 dots. Only option (C) carries the required 8 dots.

The tile that continues the pattern must show 8 dots, which is exactly what option (C) shows, so option (C) is correct.

Let's summarize:

Counting the dots turns a picture puzzle into a number sequence.
The sequence $0, 1, 1, 2, 3, 5, 8$ is the Fibonacci sequence, where each term is the sum of the two before it.
The missing tile needs 8 dots, matching option (C).

So the correct tile is 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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