The Met department has issued a warning of heavy to very heavy rainfall for isolated places in Eastern parts and heavy rainfall for isolated areas in Western parts of the state in the next 24 hours.
Baran, Pratapgarh, Chittogarh and Jhalawar are the worst affected districts.
Army, NDRF (National Disaster Response Force(NDRF) and RAC (Rajasthan Armed Constabulary) have been deployed in the affected areas and several people have been shifted to safer places.
He said Army, NDRF and RAC were deployed in Baran while NDRF and RAC teams were in Chittorgarh and NDRF in Jhalawar and Pratapgarh was having RAC teams doing the rescue work.
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Defence Spokesperson Lt Col Manish Ojha said that a total of 72 people have been airlifted since yesterday.
"34 people were airlifted in Baran district yesterday and 38 were airlifted today in Pratapgarh. More airlifting is also likely," Ojha said.
The house collapsed leaving Laxmi Narayan (72), his wife Shanti Bai (70) and four others of their family members namely Deepu (18), Anita Bai (26), Aishwarya (10) and Suraj (9) dead, police said.
Four others were also injured in the incident and are admitted at the district hospital, police added.
The South West Monsoon has been vigorous for the last two days, triggering torrential rains at isolated places in Udaipur division, heavy to very heavy in Kota and Udaipur divisions and light to moderate at many places.
Badi Sadri (Chittorgarh) and Pipalkhunt (Pratapgarh) recorded 22 cm and many other places received below 22 cm rain during the same period.
Dabok, Barmer, Kota, Jaipur and Ajmer have also recorded 56.2, 30.59, 2.6 and 0.3 mm of rainfall respectively, it said.
Meanwhile, water level in Chambal river in Dholpur today crossed the danger mark.
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Rajasthan Agriculture Minister Prabhu Lal Saini and Minister of State for Transport Babu Lal visited the rain-hit areas in Baran and reviewed rescue and relief works.
They distributed total Rs 24 lakh as compensation, a release said.
The ministers also gave necessary directions to official to provide relief to the affected people and conduct assessment of losses caused by the heavy rain.