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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.The maximum sum among coinciding pairs is :
  • a)
    24
  • b)
    23
  • c)
    22
  • d)
    21
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Answer the following question based on the information given below.A F...
The first eight element of the Fibonacci series are 1, 1, 2, 3, 5, 8, 13,21
The elements of ring 1 are placed in clockwise fashion while those ring 2 are placed in anticlockwise fashion.
The arrangement of the two circular rings can be expressed linearly as follows: Ring 1 1 1 2 3 5 8 13 21 Ring 2 1 21 13 8 5 3 2 1 Thus, the maximum sum amongI coinciding pairs is 21 + 1 = 22
Hence, option 3
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Most Upvoted Answer
Answer the following question based on the information given below.A F...
Explanation:

  • The first eight elements of the Fibonacci series are: 1, 1, 2, 3, 5, 8, 13, 21.

  • The two octagonal rings have the first eight elements of the Fibonacci series placed around their corners.

  • The first element of both rings coincides with each other.

  • The maximum sum among coinciding pairs is obtained by adding pairs of numbers that coincide on both rings.

  • The pairs of numbers that coincide on both rings are: (1, 21), (1, 13), (2, 8), and (3, 5).

  • The maximum sum among these pairs is obtained by adding (1, 21) and (2, 8).

  • The maximum sum is therefore 22 (1 + 21 = 22 and 2 + 8 = 10, and 22 + 10 = 32).


Therefore, the correct answer is option C, 22.
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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.The maximum sum among coinciding pairs is :a)24b)23c)22d)21Correct answer is option 'C'. Can you explain this answer?
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