House rent allowances

in practical

you and your mother are separate entity in front of income tax

so your mother can issue rent receipt to you

you can calim HRA on that.

but the income will be clubbed in your mother name sec 24

Hello

If House is in the name of father than  he claim exemption by showing rent receipt eventhough house is owened by his father?

didn't understand what you want to say now?

father or mother can issue rent receipt. you asked about mother so I replied that mother can issue rent receipt

If house is in the name of father then can his son claim HRA by showing rent receipt ?

Yes by showing rent receipt son cn claim HRA... 

yes,

if house is in name of father, then also he can claim HRA exemption if rent recipt is provided

but income will be added in father's return