The more powerful of the two blasts, near a restaurant in the town of Bandipora north of the provincial capital Srinagar, left one dead and 41 injured.
“Preliminary investigations suggest that militants triggered an improvised explosive device attached to a bicycle or scooter near the restaurant,” a police spokesman said.
The blasts smashed windowpanes in the area and left a trail of blood and mayhem.
The injured included five border guards, two policemen and four women.
A little-know Islamic group, al-Mansoorin took responsibility for the blast.
The group spokesman told a local news-agency that they would carry on with more such attacks in the run up to India’s independence day celebrations.
India celebrates Independence Day on Friday.
'Preliminary investigations suggest that militants triggered an improvised explosive device attached to a bicycle or scooter near the restaurant'
--Indian Security Official
Another explosion killed a civilian and wounded seven others in Qaimoh, 70 kilometers south of Srinagar.
Police said it was the handiwork of Kashmiri fighters, who hurled a grenade at a security patrol.
The grenade missed its target and exploded among passers-by.
The day’s violence served grim reminders to the continuing chaos and anarchy in the troubled region.
Lawlessness has swept since local Kashmiri groups stepped up their campaign for the region’s independence from Indian rule in the late 1980s.
By government estimates, more than 38,000 people have died in the resultant violence. Kashmiri groups, however, put the toll twice as high.