JIPMAT (LR) PYQs

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:

If $a + b = 2c$, then the value of $\frac{a}{a-c} + \frac{b}{b-c}$ is