Question : Directions: In the following question, select the missing number from the given series.
47, 49, 53, 61, 77, ?, 173
Option 1: 103
Option 2: 109
Option 3: 99
Option 4: 111
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Correct Answer: 109
Solution :
Given:
47, 49, 53, 61, 77, ?, 173
Add consecutive powers of 2 to the previous term to get the next term of the series.
47 + 2
1
= 47 + 2 = 49
49 + 2
2
= 49 + 4 = 53
53 + 2
3
= 53 + 8 = 61
61 + 2
4
= 61 + 16 = 77
77 + 2
5
= 77 + 32 = 109
109 + 2
6
= 109 + 64 = 173
So, the missing term is 109. Hence, the second option is correct.
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