IPMAT Rohtak 2019 (QA) PYQs

In an election with only two contesting candidates, 15% of the voters did not turn up to vote and 50 voters cast invalid votes. It is known that 44% of all the voters in the voting list voted for the winner. If the winner got 200 votes more than the other candidate, then the number of voters in the voting list is

If the pair of linear equations $2x + 3y = 7$ and $2px + (p + q) y = 28$ has an infinite number of solutions, then (p, q)

In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is: