The blasts in the northwestern city of Parachinar took place at the Akbar Khan Siraye Market, injuring at least 75 people, the Firstpost media outlet reported.
A total of seven policemen were among of 13 victims of a blast near the police office in Quetta, while 21 people were injured.
No group claimed responsibility for the attacks.
Pakistan has been targeted by a number of attacks conducted by different militant groups for years. Pakistani police have intensified efforts in combating terrorism following deadly a terrorist attack on a shrine in the Pakistani southern city of Sehwan that was carried out on February 16 and claimed lives of over 80 people.