can any one let me know how many cycles of big bang had happen before this present state. ?

It is possible that there have been infinite no of such cycles of creation and destruction. Well, it is just a possibility.

where did u got the 1 sigularity to give the 1st big bang ?

If there have been infinite big bangs, then there was no 1st big bang. If not, then the answer depends on whether time existed before the first big bang. If not, then the question what caused the first big bang does not arise (there was nothing before the first big bang) to have caused it.
If time existed, then there was infinite time before the first big bang. Anything could have happened in infinite time.