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Which of the following numbers will replace the question mark (?) in the given series? 5, 13, 23, 49, ? , 193
Question

Which of the following numbers will replace the question mark (?) in the given series?
5, 13, 23, 49, ? , 193

A.

105

B.

95

C.

120

D.

82

Correct option is B

Given: 5, 13, 23, 49, ? , 193
Logic: In this series each number is multiplying by 2 and adding 3 and subtracting 3 in coming next numbers.
5×2+3=10+3=13 13×23=263=23 23×2+346+3=49 Similarly: 49×23=983=955 \times2 + 3 = 10 +3 = 13\\ \ \\13\times2-3=26-3=23\\ \ \\23\times2+346 +3= 49\\ \ \\ \text{Similarly}:\\ \ \\49\times2-3= 98-3=\bold{95}
Thus, correct option is (b).​​

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