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While the 3.4 magnitude quake hit the Katra belt in the Reasi district, the other hit the Doda district.
However, there were no reports of any loss of life or damage to property, the officials said.
The epicentre of the first quake, which occurred at 3.28 am, was 62 km northeast of the Katra area in the Jammu region, they said.
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The epicentre of the quake in Doda district, which occurred at 4.07 am, was 10 km north of Doda in the Jammu region, they said.
This quake hit at a latitude of 33.23 degrees north and a longitude of 75.56 degrees east at a depth of 10 km, they added.
Eleven earthquakes have jolted Katra, Doda, Udhampur, and Kishtwar districts of the Union territory in the past four days.