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Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
3, 8, 5, 27, 8, 64, 12, 125, 17, ?

Option 1: 216

Option 2: 361

Option 3: 625

Option 4: 441


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 216


Solution : Given:
3, 8, 5, 27, 8, 64, 12, 125, 17, ?

The series follows an alternative pattern, where every other number, starting from the first, is obtained by adding consecutive numbers in each previous term to get the next term. On the other hand, every other number, starting from the second, is obtained by cubing consecutive positive integers.
First alternate series –
3; 3 + 2 = 5; 5 + 3 = 8; 8 + 4 = 12; 12 + 5 = 17
Second alternate series –
(2) 3 = 8; (3) 3 = 27; (4
) 3 = 64; (5 ) 3 = 125; (6 ) 3 = 216

The missing number is 216. Hence, the first option is correct.

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