CAT (QA) PYQs

The number of girls appearing for an admission test is twice the number of boys. If $30\%$ of the girls and $45\%$ of the boys get admission, the percentage of candidates who do not get admission is

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

The population of a town in $2020$ was 100000. The population decreased by $y \%$ from the year $2020$ to 2021, and increased by $\mathrm{x} \%$ from the year $2021$ to 2022, where x and y are two natural numbers. If population in $2022$ was greater than the population in $2020$ and the difference between $x$ and $y$ is 10, then the lowest possible population of the town in $2021$ was