my mother has 3sibblings. 2 borthers and 1 sister, all are married
The above ws your first statement; next your question is: "(1). does my mother have any right to claim in that property.??? sir, my mother has got divorse form his husband after one year of his marriage."
your question contradicts your statement,i.e., if your mother divorced her husband, presumably your father one year after marriage, who the 3 siblings belong to? If her husband is alive and is the legitimate share holder of his father's intestate property, your mother cannot claim a share legally on the property.
You state to be the grandson to your grandfather, what is the lineal descendancy,i.e., whether you are the son to your father who is a legal heir of that family through your mother?, explain your status so that you can get proper relief, or else contact a local lawyer, apprise him of the situation and seek is opinion.