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
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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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