Correct option is D
Given:
Series: 45, 52, 61, 73, 90, ?
Logic:
Differences between consecutive number 7, 9, 12, 17
52 − 45 = 7
61 − 52 = 9
73 − 61 = 12
90 − 73 = 17
The difference between these differences
9 − 7 = 2
12 − 9 = 3
17 − 12 = 5
This indicates the differences are following an increasing pattern based on prime numbers (2, 3, 5, ...).
The next difference should increase by the next prime number, 7.
The next difference should increase by the next prime number, 7.
The next difference = 17 + 7 = 24
Add this to the last term (90):
90 + 24
Add this to the last term (90):
90 + 24
114
Thus, correct option is (d)
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100 Questions
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