Different Categories displaying on Different pages

Hi wordpressers,

I have been looking around the forum for a similar topic but to no avail.

Here goes nothing.
I am trying to show different categories on different pages. So basically,
I have 3 different pages on my site. Each of these pages has a DIV layer with a measurement of 400×400. Is it possible to make a code in the DIV layer that will catch the published post CATCH a post? The post will know how to go there by category ID.

So if I go to page_1: it displays posts from category A
If I go to page_2: it displays posts from category B
If I go to page_3: it displays posts from category C

So three different pages displaying 3 different caregories.
Is this possible? If so, how do I do it?