Math and logic poalers: what is the logic to math based questions that ask "what is the next number"

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I was bored and took a test asking fairly simple questions; as a person that did not excel in maths (unfortunately) I bungled many of those answers.

So fellow maths Poalers, please explain to me the logic how to solve questions such as:

"Bob likes 25 but not 24, he likes 400 but not 300; he likes 144 not 145. Which does he like: 10, 50, 124, 200, 1600.

I don't see a pattern nor do I know a math formula to solve this type of question. How is this solved?

I was bored and took a test asking fairly simple questions; as a person that did not excel in maths (unfortunately) I bungled many of those answers. So fellow maths Poalers, please explain to me the logic how to solve questions such as: "Bob likes 25 but not 24, he likes 400 but not 300; he likes 144 not 145. Which does he like: 10, 50, 124, 200, 1600. I don't see a pattern nor do I know a math formula to solve this type of question. How is this solved?

[–] • 7 pts

(edited )

To be fair to other POALers, I edited to hide the answers ...

Next Number Spoiler 1600

What is the secret Spoiler bob likes squares

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[–] • 1 pt

(edited )

Hah, awesome! Yep that is the correct answer as I'm sure you know. I see it now but would not have figured it out without spending lots of time to reach that answer.

Makes me feel stupid, you know?

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[–] • 1 pt

Last I read, there are something like 26 distinct categories of intellect. I was great at math but embarrassingly I can't carry a musical tune in a bucket. So, you no doubt excel in other categories too ...

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[–] • 1 pt

Thanks, however, math intelligence generally enables access to virtually all intellectual fields. I can sing but I'd guess you can understand music theory easier than a person that can sing. Math is music, vice versa.