Modi, in his radio programme "Mann Ki Baat", also had ace cricketer Sachin Tendulkar and chess champion Vishwanathan Anand giving messages to the students.
"Do not get burdened under the expectations of others. Set your own targets," the prime minister said.
"Why should we compete with others, why not compete with oneself. Break your own previous record."
Tendulkar in his message also urged students to remain positive.
"Positive thoughts will be followed by positive results," Tendulkar said.
Anand said the problems of board exam are much like the challenges we face later in life.
"Exams are very much like problems you face later in life... The most important thing is to stay calm. It is very much like a game of chess," he said.