CAT (QA) PYQs

If $a$ and $b$ are integers of opposite signs such that $(a+3)^{2}: b^{2}=9: 1$ and $(a-1)^{2}:(b-1)^{2}=4: 1$, then the ratio $a^{2}: b^{2}$ is

The salaries of Ramesh, Ganesh and Rajesh were in the ratio $6:5:7$ in $2010$, and in the ratio $3:4:3$ in $2015$. If Ramesh's salary increased by $25\%$ during $2010-2015$, then the percentage increase in Rajesh's salary during this period is closest to:

In a village, the ratio of number of males to females is $5: 4$. The ratio of number of literate males to literate females is $2 : 3$. The ratio of the number of illiterate males to illiterate females is $4: 3$. If $3600$ males in the village are literate, then the total number of females in the village is