Additional Chief Judicial Magistrate Apurba Kumar Ghosh of Bidhannagar court remanded her to five days police custody.
She has been booked under section 326 (voluntarily causing grievous hurt), 379 (punishment for theft) and 308 (attempt to murder).
She was arrested on Friday evening by officers of Bidhannagar police commissionerate from an area on Rashbehari Avenue in south Kolkata.
The incident came to light on Wednesday after CCTV footage showed the tutor mercilessly beating and torturing the kid.
The complaint lodged by the kid's family said the tutor, who was appointed just a few days back, had apologised and requested the kid's family not to inform the police.
But the family registered the police complaint after her husband came and threatened them not to lodge a complaint.
After the incident created a big furore, Singh went underground.