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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 18, 23, 33, 48, 68,?
90
93
85
95
93
Observe the differences between consecutive terms: 5, 10, 15, 20... they form a simple arithmetic progression of multiples of 5.
Observe the differences between consecutive terms: 5, 10, 15, 20... they form a simple arithmetic progression of multiples of 5.
Analyze the differences
Find the difference between consecutive terms: 23 - 18 = 5, 33 - 23 = 10, 48 - 33 = 15, 68 - 48 = 20.
Identify the pattern
The differences are increasing by 5 each time: 5, 10, 15, 20. Following this logic, the next difference must be 20 + 5 = 25.
Calculate the missing term
Add the next difference to the last term: 68 + 25 = 93.
A: 90 is incorrect as it results from adding 22 instead of 25. C: 85 is incorrect because the addition pattern 5, 10, 15, 20 requires adding 25 to 68. D: 95 is incorrect as it results from adding 27 instead of 25.
B is correct because the series follows a pattern of adding multiples of 5 (5, 10, 15, 20, 25) to consecutive terms, making 68 + 25 equal to 93.
When encountering an increasing series, always check the difference between terms first; if the differences themselves form a simple pattern, you have cracked the logic.
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