Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
29, 33, ?, 113, 369
Option 1: 55
Option 2: 51
Option 3: 54
Option 4: 49
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Correct Answer: 49
Solution :
Given:
29, 33, ?, 113, 369
The pattern is as follows –
29 + (2)
2
= 29 + 4 = 33
33 + (2 × 2)
2
= 33 + (4)
2
= 33 + 16 = 49
49 + (2 × 4)
2
= 49 + (8)
2
= 49 + 64 = 113
113 + (2 × 8)
2
= 113 + (16)
2
= 113 + 256 = 369
So, 49 is the missing number. Hence, the fourth option is correct.
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