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I found this question in an Indian Highschool Reasoning Olympiad. I tried looking for any relation using powers of 2 but failed.

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  • $\begingroup$ There is no such thing as a wrong number. Adapting its definition and our reasoning, we could make an argument about either of the proposed answers to be the right one : (42 is wrong because it is divisable by 7, 88 is wrong because all its digits are the same, 150 is wrong because it is divible by 5, 264 is wrong it is higher than 2^8...) $\endgroup$
    – Evargalo
    Nov 22, 2023 at 11:44
  • $\begingroup$ @Eargalo I understand that very well but that is all I know too but still I expect an answer as it was given to puzzling.stackexchange.com/q/86130/86943 because I feel they both are some sort of same question and lack same thing that is unique answer. $\endgroup$ Nov 22, 2023 at 12:52

1 Answer 1

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I think the "wrong" number in the sequence is

(C) 150

Reasoning

The $n$th term in the sequence is $n^3+n^2+2n$ except for 150 which should instead be $5^3 + 5^2 + 10 = 160$

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