Website on big rock search result okay but doesn’t open my page

I have the website for which I am working hosted on BigRock. Now, whenever I try to search the website name in Google, I get the expected result. My website will be listed in top 10 links. But, when I click on the result, it takes me to a different website whose contents are entirely different and I am sure it is not my site. Yet the contents are related to my website topics. If I enter my website address manually, I can land on my website properly, so I am not doubting on redirecting or auto rules or any stuff like that. But I am unable to reach to my website via Google search. I have verified the link address in search result and it matches it perfectly.