While 40% of Indian parents allowed their children to access the internet before age 11, 54% of them fear that their children are more likely to be bullied online than on a playground, a Norton by Symantec study revealed on Monday.

The findings from the "2016 Norton Cyber Security Insights Report: Family Edition," shed light on parents' perceptions of cyberbullying and the preventative measures to protect their children.

"A concern for many parents is that cyberbullying doesn't stop when their child leaves school -- as long as your child is connected to a device, a bully can connect to them," said Ritesh Chopra, Country Manager, Norton by Symantec.

The report also pointed out that 71% parents thought their children would download malicious programmes or a virus, 69% think their kids would disclose too much personal information to strangers and 65% thought a stranger could lure their children in the physical world.

Parents were also concerned that their kids might do something online that could make the whole family vulnerable (62%) or embarrassed (60%). Nearly 61% believe the children could be lured into illegal activities like hacking.

In what can be called a silver lining, the report also showed that Indian parents are starting to recognise how damaging cyberbullying can be for children and are putting preventative measures in place.

"Nearly 57% parents chose to check their child's browser history, 46% only allow access to certain websites, 48% allow internet access only with parental supervision," the report said.

Also, 37% parents review and approve all apps before they are downloaded, 36% enable internet access only in household common areas and 35% limit information their child can post on social profiles.

The survey also revealed that 7% of parents fail to take any action to protect their children online.