Instead of naming your variable as name change it to some other name and you will get a right result.
var myArray = ['Rohan', 'Google', 'Student'];
console.log(myArray.indexOf('Google'));
The reason is there is some global variable called name whose result is being shown (If you check developer console and search window.name you can know what that variable is).
var has global scope in this case pointing to window object.
And in case of let name, we should know that let has local scope within the context so this time name points to your array not global name. Infact ES6 introduced let, const to avoid global spacing issue that we were facing with var