Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
109, 113, 122, 147, ?
Option 1: 196
Option 2: 148
Option 3: 154
Option 4: 166
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Correct Answer: 196
Solution :
Given:
109, 113, 122, 147, ?
Add the square of consecutive prime numbers in each number, to get the required number –
109 + (2)
2
= 109 + 4 = 113,
113 + (3)
2
= 113 + 9 = 122,
122 + (5)
2
= 122 + 25 = 147,
147 + (7)
2
= 147 + 49 = 196
So, 196 is the missing number in the series. Hence, the first option is correct.
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