JIPMAT 2023 (QA) PYQs

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:

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

If $a\times b=2 a-3 b+a b$,then $3 \times 5+5 \times 3$ is equal to