Grate the cauliflower using a box grater or food processor.
Transfer to a muslin cloth. Sprinkle some salt. Let it sweat for a few minutes.
Roll up the muslin cloth. Squeeze out most of the water from the cauliflower.
Transfer the cauliflower to a clean bowl. Add boiled and mashed potatoes followed by all-purpose flour, cornstarch, and rice
Combine everything well. Use your hands if that is easy.
Using your hands scoop up 1 to 2 tbsps. of mixture. Shape into a tater to shape (a small cylinder). Repeat with the rest of the mixture. This quantity yielded me about 20 pieces.
Heat oil in a kadai/wok on medium heat for deep frying.
Once the oil is hot, add the cauliflower tots one at a time. Fry till golden brown. For me, each batch takes about 5-6 minutes approximately. Do not overcrowd the kadai/wok.
Once it is fried to your satisfaction, remove it from heat and drain on a paper towel.
Repeat with the rest of the pieces.
Serve hot with mint chutney and/or ketchup.