Most polls also forecast a close fight between the Congress, which is seeking to return to power in Punjab after a hiatus of 10 years, and Arvind Kejriwal's AAP, making its debut in the assembly polls in the state.
They have predicted victory for BJP in Uttarakhand, but the saffron party, though likely to emerge as the single largest party in Goa, was projected to fall short of a majority.
The three polls projected 110-130, 120 and 156-169 seats respectively for the Samajwadi Party-Congress alliance and 57-74, 90 and 60-72 seats for the Mayawati-led BSP.
India Today-Axis exit poll predicted 62-71 seats for the Congress in 117-member Punjab assembly, a comfortable majority, and 42-51 to Arvind Kejriwal-led AAP. The Shiromani Akali Dal-BJP combine was projected to be decimated in the state which it has ruled for a decade. All polls showed the alliance getting reduced to a single digit tally.
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BJP looked set to return to power in Uttarakhand, with India Today and News 24 projecting a comfortable majority for the party, giving it 46-53 and 53 seats respectively, in the 70-member House, way more than the halfway mark of 30. However, India TV gave 29 and 35 seats to the two parties.
India Today projected 18-22 seats for the BJP in 40-seat Goa assembly followed by the Congress with 9-13 seats. India TV predicted a hung assembly, projecting 15-21 seats for the BJP and 12-18 for the Congress.
The channel, however, later revised its projection, giving BJP 211 seats, a clear majority, followed by SP- Congress combine 122 and BSP 61.
It forecast 55 seats for the Congress in Punjab, closely followed by the AAP with 54 seats. The incumbent Akali Dal-BJP alliance was predicted staring at a virtual decimation with only 7 seats in the 117-member assembly.
In Uttarakhand, it gave the BJP a majority with 43 seats followed by the ruling Congress with 23.