To find or to finding out

Dear gamiz123,

I'm happy to respond. I have several points to make.

First of all, when you are asking about text, please be consistent with using quote marks to distinguish the words about which you are asking from the words you are using. Ideally, you would use color as well. For example, here are you words:

Here is an example
He went there with a view to find out the truth about yesterday's happening
In above sentence what we have to use to "find out" or to "finding out"?

This makes it considerably more readable. Also, I am going to advise you not to refer to this grammatical structure as -ing or the -ing form. That language is sloppy and generates confusion. Three entirely different verb forms end in the suffix "-ing":
1) Progressive tense verbs
2) Present participles
3) Gerunds
Deep understanding starts with learning and using the correct terminology.

As to your question, it is so common for the verb after "to" to take the infinitive form that it almost never is the case that a gerund would follow "to." Furthermore, this is such a rare case that I can't imagine that the GMAT would test it. We simply expect that "to" will start an infinitive if it followed by a verb.

Also, I will say that "with a view to" sounds awkward. What sounds more natural to my ears is "with a view toward." That form would take the gerund:
The detective returned to the scene of the crime with a view toward establishing whether the perpetrator also had returned there.

Does all this make sense?
Mike