CAT (QA) PYQs

In a tournament, a team has played $40$ matches so far and won $30 \%$ of them. If they win $60 \%$ of the remaining matches, their overall win percentage will be $50 \%$. Suppose they win $90 \%$ of the remaining matches, then the total number of matches won by the team in the tournament will be

Meena scores $40 \%$ in an examination and after review, even though her score is increased by $50 \%$, she fails by $35$ marks. If her post-review score is increased by $20 \%$, she will have $7$ marks more than the passing score. The percentage score needed for passing the examination is

In a class, $60\%$ of the students are girls and the rest are boys. There are $30$ more girls than boys. If $68\%$ of the students, including $30$ boys, pass an examination, the percentage of the girls who do not pass is