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Answer the following question based on the information given below.
A Fibonacci series is defined as follows: The first two elements of the series are 1, 1 and each subsequent term is the sum of the previous two terms.
There are two rings each having the shape of a regular octagon.
The first eight elements of the Fibonacci series are placed at the corner of each ring such that they are in clockwise direction on ring 1 and in anti clockwise direction on ring 2.
Ring 2 is placed above ring 1 such that the first element of both rings coincides.
Based on the above information, answer the questions that follow.
 
Q.Which element, except 1, will coincide on both rings?
  • a)
    3
  • b)
    8
  • c)
    2
  • d)
    5
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Answer the following question based on the information given below.A F...
The first eight element of Fibonacci series are, 1, 1,2, 3, 5, 8, 13,21
Since this same series is placed at the corners of two octagons such that one is placed clockwise and the other is placed anticlockwise, the first element of both will coincide, the second of one series and the eighth of the other will coincide, the third of one series and the seventh of the other will coincide, the fourth of one series and the sicth of the other will coincide and the fifth of both series will coincide.
Thus, the fifth element i.e. 5, will coincide will itself.
Hence, option 4.
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Most Upvoted Answer
Answer the following question based on the information given below.A F...
Explanation:

  • The first element of both rings is same i.e. 1.

  • Ring 1 has the first 8 elements of the Fibonacci series in clockwise direction. Hence, the next element after 1 in Ring 1 is 1+1=2, then 1+2=3, then 2+3=5, and so on.

  • Ring 2 has the first 8 elements of the Fibonacci series in anti-clockwise direction. Hence, the next element after 1 in Ring 2 is 1+1=2, then 3+2=5, then 5+3=8, and so on.

  • Therefore, the element that will coincide on both rings is the one that appears in both series i.e. 5.

  • Hence, the correct answer is option D i.e. 5.

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Answer the following question based on the information given below.A Fibonacci series is defined as follows: The first two elements of the series are 1, 1 and each subsequent term is the sum of the previous two terms.There are two rings each having the shape of a regular octagon.The first eight elements of the Fibonacci series are placed at the corner of each ring such that they are in clockwise direction on ring 1 and in anti clockwise direction on ring 2.Ring 2 is placed above ring 1 such that the first element of both rings coincides.Based on the above information, answer the questions that follow.Q.Which element, except 1, will coincide on both rings?a)3b)8c)2d)5Correct answer is option 'D'. Can you explain this answer?
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