CAT (QA) PYQs

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 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

A box has $450$ balls, each either white or black, there being as many metallic white balls as metallic black balls. If $40 \%$ of the white balls and $50 \%$ of the black balls are metallic, then the number of non-metallic balls in the box is