How to have one search filters section for different set of job?

I’m displaying four sets of jobs based on four categories but I wanted to know if its possible to have one search-filter-section for all of them. I’m not talking about the default search.

If I enable the filters for one set and do a search, the rest of the job listing still remains in the page.

Is there a way for that?

Here’s my shortcode on the Jobs page
[jobs per_page=”20″ orderby=”title” show_filters=”false” categories=Programming-jobs]
[jobs per_page=”20″ orderby=”title” show_filters=”false” categories=design-jobs]
[jobs per_page=”20″ orderby=”title” show_filters=”false” categories=product-management-jobs]
[jobs per_page=”20″ orderby=”title” show_filters=”false” categories=sales-and-marketing-jobs]
[jobs per_page=”20″ orderby=”title” show_filters=”false” categories=all-other-jobs]

Thanks in advance

The page I need help with: [log in to see the link]