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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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