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"We all know the games politicians play," the PM said when a student from Goa asked him what his favourite sport is. He asked the winner of a TV cookery show whether he cooks for his friends in hostel at school.
800 students and 60 teachers from schools in Delhi participated in the event at the auditorium. Students from nine other states joined the programme through video conference.
The achievements of students from across the country were highlighted through short films after which they asked the Prime Minister questions.
Among the students who interacted with PM Modi was K Visalini, 15, a student from Tirunelveli in Tamil Nadu who has the highest IQ in the world.
This is the second year that the PM is interacting with students on the occasion of Teachers' Day, which celebrates the birthday on September 5 of India's second President and scholar Dr Sarvepalli Radhakrishnan.
"I always learn from everything. I was always very inquisitive, even as a child. That helped," the PM said to a student who asked what inspired him.
To a question on parents inflicting their career choice on students, the Prime Minister said: "I have asked my officials to explore how students can replace character certificate with aptitude certificate, so students can go for a career of their choice."
Union education minister Smriti Irani welcomed PM Modi and teachers and the students gathered. "Dream, take a vow and make a beginning," she said in a short speech.
Shortly after the PM's interaction, President Pranab Mukherjee, who was a college teacher and a journalist before he joined politics in 1969, taught India's political history to students of class 11 and 12 at a school in Delhi.
Nine crore students had participated in the PM's interaction last year and the attempt is to scale up the numbers significantly this year, officials said.
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