Which one will replace the question mark in the given diagram above?

2025

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Which one will replace the question mark in the given diagram above?

  1. A.

    45

  2. B.

    25

  3. C.

    39

  4. D.

    78

Attempted by 49 students.

Show answer & explanation

Correct answer: C

First, observe the sequence of numbers in the sectors: 3, 5, 8, 13, 22. Calculate the difference between consecutive terms: 5 - 3 = 2, 8 - 5 = 3, 13 - 8 = 5, and 22 - 13 = 9.

Next, find the differences between these results: 3 - 2 = 1, 5 - 3 = 2, and 9 - 5 = 4. These follow a pattern of powers of 2 (1, 2, 4). The next difference should be 8.

Thus, the next term in the first sequence of differences is 9 + 8 = 17. Finally, add this to the last number: 22 + 17 = 39.

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