CAT (QA) PYQs

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

The income of Amala is $20 \%$ more than that of Bimala and $20 \%$ less than that of Kamala. If Kamala's income goes down by $4 \%$ and Bimala's goes up by $10 \%$, then the percentage by which Kamala's income would exceed Bimala's is nearest to

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