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Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series.
6, 6, 7, 7, 11, 15, 20, 42, 36, 106, 61, 231, ?, 447

Option 1: 97

Option 2: 75

Option 3: 88

Option 4: 123


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 97


Solution : Given:
6, 6, 7, 7, 11, 15, 20, 42, 36, 106, 61, 231, ?, 447

Here, we have two subseries –
Numbers in odd positions –
6, 7, 11, 20, 36, 61, ?
6 + 1 2 = 7; 7 + 2 2 = 11; 11 + 3 2 = 20; 20 + 4 2 = 36; 36 + 5 2 = 61; 61 + 6 2 = 97
Number in even positions –
6, 7, 15, 42, 106, 231, 447
6 + 1 3 = 7; 7 + 2 3 = 15; 15 +  3 3 = 42; 42 + 4 3 = 106; 106 + 5 3 = 231; 231 + 6 3 = 447

So, the required missing number in the series is 97. Hence, the first option is correct.

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