Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
3, 7, 13, 27, 53, ?
Option 1: 107
Option 2: 111
Option 3: 109
Option 4: 105
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Correct Answer: 107
Solution :
Given:
3, 7, 13, 27, 53, ?
Multiply the number by 2 and then, alternately add and subtract 1 from the resultant, to get the required missing number in the series.
(3 × 2) + 1 = 6 + 1 = 7; (7 × 2) – 1 = 14 – 1 = 13; (13 × 2) + 1 = 26 + 1 = 27; (27 × 2) – 1 = 54 – 1 = 53; (53 × 2) + 1 = 106 + 1 = 107
So, the required number is 107. Hence, the first option is correct.
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