How to suss out whether job applicant might be sexist?

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8. I'm a software developer in higher ed, and have been involved in a lot of developer hirings

We have a number of personality type questions that we use under the category of 'team cohesion' or 'fit'.

Something like:

"Describe a situation where you had to work with someone much different than yourself, and how you dealt with it."

or

"Describe a situation where you had to work with someone with a difficult personality, and how you dealt with it."

In any case, it's likely that the one woman on that committee will notice sexism long before the men will, so the real question is will they listen to her?