The Home Department advisory, made in the wake of the suicide of a 19 year-old boy in Madurai who played the game, also warned internet users from sharing links, as it was "illegal" to do so and that they "will be punished as per law".
Citing available information, it said children in the age group of 12-19 years "are the most vulnerable group over the internet to be most prone to Blue Whale Challenge and similar games."
Children playing such online games tend to stay by themselves, stop interacting with family and friends, often talk about running away from home and "even about death," it said, adding, "there will be changes in their eating and/or sleeping habits."
The advisory said the game was also available under other names like A Silent House, A Sea of Whales and Wake Me Up at 4:20 am.
"Hence, both the parents and teachers are advised to observe the children's behavior closely to identify any unusual changes like moodiness, less or no communication, lack of interest in studies and falling grades, which may be an indication for the children to fall prey to these evil online games," it said.
Children found playing the game should be prevented from using internet from any devices, and local police authorities should be informed, it said.
Psychological counselling to the concerned child should also be provided through government hospitals/NGOs, it added.
"It is also informed to the general public and internet users to refrain from forwarding any online links related to this game and make someone vulnerable and any such act is illegal and will be punished as per the law."