State whether the following statements are ‘True’ or ‘False’:

1. Vikram Samvat owes its origin to Vikramaditya. 

2.The beautiful palace of Vikramaditya stands even today in Ujjain.

3. When the shepherd-boy sat on the mound the spirit of knowledge and justice would come to him. 

4. Vikramaditya was never deceived.

5. Vikramaditya never failed in getting at the culprit.