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Choose the correct option in place of question mark (?) in the following series:

21, 25, 33, 49, 81, (?).

(a) 145

(b) 132

(c) 113

(d) 101


Solution:

25 – 21 = 4 = 2^2

33 – 25 = 8 = 2^3

49 – 33 = 16 = 2^4

81 – 49 = 32 = 2^5

Now,

21 + 2^2 = 21 + 4 = 25

25 + 2^3 = 25 + 8 = 33

33 + 2^4 = 33 + 16 = 49

49 + 2^5 = 49 + 32 = 81

81 + 2^6 = 81 + 64 = 145


Answer: 145



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