JIPMAT 2023 (QA) PYQs

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

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 $\dfrac{a}{b+c}=\dfrac{b}{c+a}=\dfrac{c}{a+b}=k$ then value of $k$ is