Rajya Sabha nominations need the support of 10 MLAs.
Social Justice and Empowerment Minister Thawar Chand Gehlot threw his hat into the ring from Madhya Pradesh.
Baluni, who heads BJP's media departments, has been fielded from Uttarakhand while Rao, a spokesperson and psephologist, will file his nomination from Uttar Pradesh.
The BJP on Monday queered the pitch for Rajya Sabha elections by fielding additional candidates in Uttar Pradesh, Gujarat and Maharashtra, putting to test the attempts to forge an Opposition alliance.
A prominent omission from the BJP list is that of Vinay Katiyar whose term is due to expire now.
Rest two candidates filed their nomination papers as Independent.
Each candidate require 44 votes in the 225 member in the Assembly.
There is a likelihood of 28 votes of the BJP which would be left after the division of votes amongst its eight candidates, being transferred to Agarwal.
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Valera filed his nomination as an independent candidate with the support of 10 Congress MLAs, PTI reported citing sources. There are seven vacant seats in the Assembly. Meanwhile the ruling BJP in Maharashtra is set to increase its tally in the Rajya Sabha and also in the state Legislative Council, given its improved strength in the 288-member Legislative Assembly. Both the parties are in a position to send two candidates each to the Rajya Sabha.
Abhishek Manu Singhvi is the party's candidate from West Bengal and he will win as the Trinamool Congress has chose to support him.
While Mandavia and Rupala are official BJP nominees, the Congress has fielded Amiben Yagnik and tribal leader Naran Rathwa.
Meanwhile, the BJP has reportedly made a decision to field Rajiv Chandrashekar, who hails from Kerla, as its candidate due to pressure from the RSS.
Union HRD minister Prakash Javdekar too has filed an application from BJP, RS MP Vandana Chavan from NCP and Anil Desai from Shiv Sena. So far, it was assumed that the elections would be unopposed, however, unexpectedly BJP nominated state women commission chairperson Vijaya Rahatkar as its fourth nominee. Answering a query on Congress filing nomination for Rajya Sabha berth, the CM said it is a part of process in democracy, which they are fulfilling.
Ajay Pratap Singh and Kailash Soni will contest from Madhya Pradesh while Narayana Rane and V Muralidharan will represent Maharashtra. Four posts are likely to go the NDA while the Congress and the RJS are likely to get one seat each.
Lt General DP Vats, Rajeev Chandrasekhar and Sameer Uranv are contesting from Haryana, Karnataka and Jharkhand respectively.