Google results inconsistent

Recently, I have been witnessing the bizarre behaviour that I had never seen before.

When I am logged into Chrome, I see 1 site ranking on the 2nd page.Then I log out, and it magically shows up on the 1st page.

I then go to the Internet Explorer, and the same site is ranking on the 2nd page again.

I repeated the same thing with Firefox, and it behaves like the Internet Explorer.

I suspect it is to do with some sort of a cookie or Chrome setting. But I intend to get to the bottom of it.